1.
図書
Joachim Kock, Israel Vainsencher
目次情報:
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Preface
Introduction
Prologue: Warming up with Cross Ratios, and the Definition of Moduli Space / 0：
Cross ratios / 0.1：
Definition of moduli space / 0.2：
Stable n-pointed Curves / 1：
n-pointed smooth rational curves / 1.1：
Stable n-pointed rational curves / 1.2：
Stabilization, forgetting marks, contraction / 1.3：
Sketch of the construction of [Characters not reproducible subscript 0,n] / 1.4：
The boundary / 1.5：
Generalizations and references / 1.6：
Stable Maps / 2：
Maps P[superscript 1 Characters not reproducible] P[superscript r] / 2.1：
1-parameter families / 2.2：
Kontsevich stable maps / 2.3：
Idea of the construction of [Characters not reproducible subscript 0,n] (P[superscript r], d) / 2.4：
Evaluation maps / 2.5：
Forgetful maps / 2.6：
Easy properties and examples / 2.7：
Complete conics / 2.9：
Enumerative Geometry via Stable Maps / 2.10：
Classical enumerative geometry / 3.1：
Counting conics and rational cubics via stable maps / 3.2：
Kontsevich's formula / 3.3：
Transversality and enumerative significance / 3.4：
Stable maps versus rational curves / 3.5：
Gromov-Witten Invariants / 3.6：
Definition and enumerative interpretation / 4.1：
Properties of Gromov-Witten invariants / 4.2：
Recursion / 4.3：
The reconstruction theorem / 4.4：
Quantum Cohomology / 4.5：
Quick primer on generating functions / 5.1：
The Gromov-Witten potential and the quantum product / 5.2：
Associativity / 5.3：
Kontsevich's formula via quantum cohomology / 5.4：
Bibliography / 5.5：
Index
Preface
Introduction
Prologue: Warming up with Cross Ratios, and the Definition of Moduli Space / 0：
2.
図書
S. M. Blinder
出版情報:
London ; New York : Academic Press, 1974 ix, 226 p. ; 24 cm
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3.
図書
L.C. Biedenharn, J.D. Louck ; with a foreword by Peter A. Carruthers
4.
図書
Lawrence C. Biedenharn, James D. Louck ; with a foreword by Peter A. Carruthers ; introduction by George W. Mackey
5.
図書
Siegfried Flügge
6.
図書
Martin Schechter
出版情報:
New York : North Holland, c1981 xx, 324 p. ; 24 cm
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Preface
Acknowledgments
A Message to the Reader
List of Symbols
One-Dimensional Motion / Chapter 1.：
Position / 1.1.：
Mathematical Expectation / 1.2.：
Momentum / 1.3.：
Energy / 1.4.：
Observables / 1.5.：
Operators / 1.6.：
Functions of Observables / 1.7.：
Self-Adjoint Operators / 1.8.：
Hilbert Space / 1.9.：
The Spectral Theorem / 1.10.：
Exercises
The Spectrum / Chapter 2.：
The Resolvent / 2.1.：
Finding the Spectrum / 2.2.：
The Position Operator / 2.3.：
The Momentum Operator / 2.4.：
The Energy Operator / 2.5.：
The Potential / 2.6.：
A Class of Functions / 2.7.：
The Spectrum of H / 2.8.：
The Essential Spectrum / Chapter 3.：
An Example / 3.1.：
A Calculation / 3.2.：
Finding the Eigenvalues / 3.3.：
The Domain of H / 3.4.：
Back to Hilbert Space / 3.5.：
Compact Operators / 3.6.：
Relative Compactness / 3.7.：
Proof of Theorem 3.7.5 / 3.8.：
The Negative Eigenvalues / Chapter 4.：
The Possibilities / 4.1.：
Forms Extensions / 4.2.：
The Remaining Proofs / 4.3.：
Negative Eigenvalues / 4.4.：
Existence of Bound States / 4.5.：
Existence of Infinitely Many Bound States / 4.6.：
Existence of Only a Finite Number of Bound States / 4.7.：
Another Criterion / 4.8.：
Estimating the Spectrum / Chapter 5.：
Introduction / 5.1.：
Some Crucial Lemmas / 5.2.：
A Lower Bound for the Spectrum / 5.3.：
Lower Bounds for the Essential Spectrum / 5.4.：
An Inequality / 5.5.：
Bilinear Forms / 5.6.：
Intervals Containing the Essential Spectrum / 5.7.：
Coincidence of the Essential Spectrum with an Interval / 5.8.：
The Harmonic Oscillator / 5.9.：
The Morse Potential / 5.10.：
Scattering Theory / Chapter 6.：
Time Dependence / 6.1.：
Scattering States / 6.2.：
Properties of the Wave Operators / 6.3.：
The Domains of the Wave Operators / 6.4.：
Local Singularities / 6.5.：
Long-Range Potentials / Chapter 7.：
The Coulomb Potential / 7.1.：
Some Examples / 7.2.：
The Estimates / 7.3.：
The Derivatives of V(x) / 7.4.：
The Relationship Between X[subscript t] and V(x) / 7.5.：
An Identity / 7.6.：
The Reduction / 7.7.：
Mollifiers / 7.8.：
Time-Independent Theory / Chapter 8.：
The Resolvent Method / 8.1.：
The Theory / 8.2.：
A Simple Criterion / 8.3.：
The Application / 8.4.：
Completeness / Chapter 9.：
Definition / 9.1.：
The Abstract Theory / 9.2.：
Some Identities / 9.3.：
Another Form / 9.4.：
The Unperturbed Resolvent Operator / 9.5.：
The Perturbed Operator / 9.6.：
Analytic Dependence / 9.7.：
Projections / 9.9.：
An Analytic Function Theorem / 9.10.：
The Combined Results / 9.11.：
Absolute Continuity / 9.12.：
The Intertwining Relations / 9.13.：
Strong Completeness / 9.14.：
The More Difficult Problem / 10.1.：
The Technique / 10.2.：
Verification for the Hamiltonian / 10.4.：
An Extension / 10.5.：
The Principle of Limiting Absorption / 10.6.：
Oscillating Potentials / Chapter 11.：
A Surprise / 11.1.：
The Hamiltonian / 11.2.：
A Variation / 11.3.：
Examples / 11.5.：
Eigenfunction Expansions / Chapter 12.：
The Usefulness / 12.1.：
The Problem / 12.2.：
Operators on L[superscript p] / 12.3.：
Weighted L[superscript p]-Spaces / 12.4.：
Extended Resolvents / 12.5.：
The Formulas / 12.6.：
Some Consequences / 12.7.：
Summary / 12.8.：
Restricted Particles / Chapter 13.：
A Particle Between Walls / 13.1.：
The Energy Levels / 13.2.：
Compact Resolvents / 13.3.：
One Opaque Wall / 13.4.：
Scattering on a Half-Line / 13.5.：
The Spectral Resolution for the Free Particle on a Half-Line / 13.6.：
Hard-Core Potentials / Chapter 14.：
Local Absorption / 14.1.：
The Modified Hamiltonian / 14.2.：
The Resolvent Operator for H[subscript 1] / 14.3.：
The Wave Operators W[subscript plus or minus] (H[subscript 1] H[subscript 0]) / 14.4.：
Propagation / 14.5.：
Proof of Theorem 14.5.1 / 14.6.：
Completeness of the Wave Operators W[subscript plus or minus], (H[subscript 1] H[subscript 0]) / 14.7.：
The Wave Operators W[subscript plus or minus] (H, H[subscript 1]) / 14.8.：
A Regularity Theorem / 14.9.：
A Family of Spaces / 14.10.：
The Invariance Principle / Chapter 15.：
A Simple Result / 15.1.：
Trace Class Operators / 15.3.：
The Abstract Theorem / 16.1.：
Hilbert--Schmidt Operators / 16.2.：
The Fourier Transform / 16.4.：
Exercises A
Exercises B / Appendix B.：
Holder's Inequality and Banach Space / Appendix C.：
Bibliography
Index
Preface
Acknowledgments
A Message to the Reader
7.
図書
by Pavel Exner
出版情報:
Dordrecht, Holland ; Boston : D. Reidel , Hingham, Mass., U.S.A. : Sold and distributed in the U.S.A. and Canada by Kluwer Academic, c1985 xix, 356 p. ; 25 cm
シリーズ名:
Fundamental theories of physics
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8.
図書
G. Ludwig ; translated by Carl A. Hein
9.
図書
James Glimm, Arthur Jaffe
出版情報:
New York ; Tokyo : Springer-Verlag, c1987 xxii, 535 p. ; 24 cm
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10.
図書
V.P. Maslov and M.V. Fedoriuk ; translated from the Russian by J. Niederle and J. Tolar
11.
図書
[by] B.L. van der Waerden
12.
図書
Walter Thirring ; translated by Evans M. Harrell
13.
図書
by Michael B. Mensky
14.
図書
by Zbigniew Haba
15.
図書
K.T. Hecht
16.
図書
Walter E. Thirring ; with foreword by Elliott H. Lieb
出版情報:
Providence, R.I. : American Mathematical Society, c1998 xiii, 729 p. ; 26 cm
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17.
図書
J.-M. Souriau ; translated by C.H. Cushman-de Vries ; translation editors, R.H. Cushman, G.M. Tuynman
18.
図書
Isabelle Catto, Claude Le Bris, Pierre-Louis Lions
目次情報:
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Preface
General Presentation / 1：
Convergence of the energy for the Thomas-Fermi-von Weizsacker model with Yukawa potential / 2：
Convergence of the energy for the Thomas-Fermi-von-Weizsacker model / 3：
Convergence of the density for the Thomas-Fermi-von-Weizsacker model with Yukawa potential / 4：
Convergence of the density for the Thomas-Fermi-von-Weizsacker model / 5：
Convergence of the energy via the convergence of the density / 6：
Bibliography
Preface
General Presentation / 1：
Convergence of the energy for the Thomas-Fermi-von Weizsacker model with Yukawa potential / 2：
19.
図書
Atsushi Inoue
20.
図書
Ian Percival
出版情報:
New York : Cambridge University Press, 1998 xi, 184 p. ; 25 cm
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Introduction / 1：
Brownian motion and It( calculus / 2：
Open quantum systems / 3：
Quantum state diffusion / 4：
Localisation / 5：
Numerical methods and examples / 6：
Quantum foundations / 7：
Primary state diffusion / 8：
Classical dynamics of quantum localisation / 9：
Semiclassical theory and linear dynamics / 10：
Introduction / 1：
Brownian motion and It( calculus / 2：
Open quantum systems / 3：
21.
図書
by Irene Verona Schensted
出版情報:
Peaks Island, Me. : NEO Press, c1976 vii, 342 p. ; 24 cm
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22.
図書
George W. Mackey
23.
図書
[by] R. A. Newing [and] J. Cunningham
24.
図書
by Katsuhiro Nakamura
25.
図書
by D. Ya. Petrina
26.
図書
M. Dineykhan ... [et al.]
27.
図書
C. Grosche
出版情報:
Singapore : World Scientific, c1996 xi, 280 p. ; 23 cm
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28.
図書
Victor Guillemin, Eugene Lerman, Shlomo Sternberg
出版情報:
Cambridge : Cambridge University Press, 1996 xiv, 222 p. ; 24 cm
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29.
図書
Barry Simon
目次情報:
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Preface to Second Edition
Preface
List of Symbols
Introduction / I：
Construction of Gaussian Processes / 1：
Some Fundamental Tools of Probability Theory / 3：
The Basic Processes / II：
The Wiener Process, the Oscillator Process, and the Brownian Bridge / 4：
Regularity Properties-1 / 5：
The Feynman-Kac Formula / 6：
Regularity and Recurrence Properties-2 / 7：
Bound State Problems / III：
The Birman-Schwinger Kernel and Lieb's Formula / 8：
Phase Space Bounds / 9：
The Classical Limit / 10：
Recurrence and Weak Coupling / 11：
Inequalities / IV：
Correlation Inequalities / 12：
Other Inequalities: Log Concavity, Symmetric Rearrangement, Conditioning, Hypercontractivity / 13：
Magnetic Fields and Stochastic Integrals / V：
Ito's Integral / 14：
Schrodinger Operators with Magnetic Fields / 15：
Introduction to Stochastic Calculus / 16：
Asymptotics / VI：
Donsker's Theorem / 17：
Laplace's Method in Function Space / 18：
Introduction to the Donsker-Varadhan Theory / 19：
Other Topics / VII：
Perturbation Theory for the Ground State Energy / 20：
Dirichlet Boundaries and Decoupling Singularities in Scattering Theory / 21：
Crushed Ice and the Wiener Sausage / 22：
The Statistical Mechanics of Charged Particles with Positive Definite Interactions / 23：
An Introduction to Euclidean Quantum Field Theory / 24：
Properties of Eigenfunctions, Wave Packets, and Green's Functions / 25：
Inverse Problems and the Feynman-Kac Formula / 26：
References
Index
Bibliographic Supplement
Bibliography
Preface to Second Edition
Preface
List of Symbols
30.
図書
Didier Robert
31.
図書
R.P. Feynman, A.R. Hibbs
32.
図書
Eduard Prugovečki
33.
図書
V.S. Varadarajan
出版情報:
New York ; Tokyo : Springer-Verlag, c1985 xviii, 412 p. ; 25 cm
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34.
図書
by Pavel Pták and Sylvia Pulmannová
35.
図書
edited by J. Dittrich and P. Exner
出版情報:
Singapore ; Teaneck, N.J. : World Scientific, c1991 xii, 330 p.
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36.
図書
K.R. Parthasarathy
37.
図書
Mark S. Swanson
出版情報:
Boston ; Tokyo : Academic Press, c1992 xii, 444 p. ; 24 cm
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38.
図書
Ernest Ikenberry
出版情報:
New York : Oxford University Press, 1962 xii, 269 p. ; 24 cm
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39.
図書
W. Dittrich, M. Reuter
出版情報:
Berlin ; Tokyo : Springer-Verlag, c1992 341 p. ; 24 cm
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40.
図書
edited by A. Truman & I.M. Davies
出版情報:
Singapore ; River Edge, N.J. : World Scientific, c1992 viii, 316 p. ; 23 cm
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41.
図書
editor, Mo-Lin Ge
42.
図書
Paul Busch, Pekka J. Lahti, Peter Mittelstaedt
43.
図書
Michael D. Scadron
44.
図書
A. Bassetto, G. Nardelli, R. Soldati
出版情報:
Singapore ; Teaneck, N.J. : World Scientific, c1991 xii, 227 p. ; 23 cm
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45.
図書
O.L. De Lange and R.E. Raab
出版情報:
Oxford [England] : Clarendon Press , New York : Oxford University Press, 1991 xi, 377 p. ; 24 cm
シリーズ名:
Oxford science publications
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The Mathematical Formalism of Quantum Mechanics / 1：
The Harmonic Oscillator / 2：
Other One-Dimensional Systems / 3：
Angular Momentum / 4：
Spherically Symmetric Potentials / 5：
Applications / 6：
Factorizations with Applications to the Momentum Representation / 7：
The Isotropic Harmonic Oscillator in an Angular Momentum Basis / 8：
The Coulomb Problem in an Angular Momentum Basis / 9：
The Coulomb Problem in the Basis / 10：
Relativistic Quantum Mechanics / 11：
Relativistic Spherically Symmetric Problems / 12：
The Mathematical Formalism of Quantum Mechanics / 1：
The Harmonic Oscillator / 2：
Other One-Dimensional Systems / 3：
46.
図書
H. A. Kramers ; translated by D. ter Haar
出版情報:
Amsterdam : North-Holland Pub. Co. , New York : Interscience Publishers, 1957 xvi, 496 p. ; 23 cm
シリーズ名:
Series in physics
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47.
図書
J. Szabados and P. Vértesi
出版情報:
Singapore ; Philadelphia : World Scientific, c1990 xi, 305 p. ; 23 cm
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48.
図書
Vladimir Rojansky
出版情報:
Englewood Cliffs, N. J. : Prentice-Hall, 1959 x, 544 p. ; 24 cm
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49.
図書
Gerald Kaiser
出版情報:
Amsterdam ; New York : North-Holland , New York, N.Y., U.S.A. : Distributors for the U.S.A. and Canada, Elsevier Science, 1990 xvi, 359 p. ; 25 cm
シリーズ名:
North-Holland mathematics studies ; 163
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50.
図書
by A.G. Butkovskiy and Yu.I. Samoilenko
51.
図書
B.M. Barbashov, V.V. Nesterenko ; translator, T.Yu. Dumbrajs
出版情報:
Singapore ; Teaneck, N.J. : World Scientific, c1990 xi, 249 p. ; 23 cm
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52.
図書
by G. Temple
53.
図書
by Franco Selleri ; edited by Alwyn van der Merwe
54.
図書
John David Jackson
出版情報:
New York : W.A. Benjamin, 1962 x, 97 p. ; 24 cm
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55.
図書
A. Galindo, P. Pascual ; translated by J.D. García and L. Alvarez-Gaumé
56.
図書
Boris N. Zakhariev, Allina A. Suzko ; translated from the Russian by G. Pontecorvo
出版情報:
Berlin ; Tokyo : Springer-Verlag, c1990 xiii, 223 p. ; 24 cm
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57.
図書
Martin C. Gutzwiller
目次情報:
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Introduction
The Mechanics of Lagrange
The Mechanics of Hamilton and Jacobi
Integrable Systems
The Three-Body Problem: Moon-Earth-Sun
Three Methods of Section
Periodic Orbits
The Surface of Solution
Models of the Galaxy and of Small Molecules
Soft Chaos and the KAM Theorem
Entropy and Other Measures of Chaos
The Anisotropic Kepler Problem
The Transition From Classical to Quantum Mechanics
The New World of Quantum Mechanics
The Quantization of Integrable Systems
Wave Functions in Classically Chaotic Systems
The Energy Spectrum of a Classically Chaotic System
The Trace Formula
The Diamagnetic Kepler Problem
Motion on a Surface of Constant Negative Curvature
Scattering Problems, Coding and Multifractal Invariant Measures
References
Index
Introduction
The Mechanics of Lagrange
The Mechanics of Hamilton and Jacobi
58.
図書
D.A. Dubin & M.A. Hennings
59.
図書
Hagen Kleinert
出版情報:
Singapore ; Teaneck, N.J. : World Scientific, c1990 xxi, 664 p. ; 23 cm
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60.
図書
Jean-Marie Normand
出版情報:
Amsterdam ; New York : North-Holland Pub. Co. , New York : Sole distributors for the U.S.A. and Canada, Elsevier North-Holland, c1980 xvii, 486 p. ; 27 cm
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61.
図書
J.J. Sakurai ; San Fu Tuan, editor
出版情報:
Redwood City, Calif. : Addison-Wesley Pub., c1985 x, 474 p. ; 24 cm
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Fundamental Concepts / 1：
Quantum Dynamics / 2：
Theory of Angular Momentum / 3：
Symmetry in Quantum Mechanics / 4：
Approximation Methods / 5：
Identical Particles / 6：
Scattering Theory / 7：
Appendices
Supplements
Bibliography
Index
Fundamental Concepts / 1：
Quantum Dynamics / 2：
Theory of Angular Momentum / 3：
62.
図書
George W. Mackey
出版情報:
New York : W. A. Benjamin, 1968 viii, 167 p. ; 24 cm
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63.
図書
[par] Claude Cohen-Tannoudji, Bernard Diu [et] Franck Laloë
64.
図書
Michael Tinkham
目次情報:
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Preface
Introduction / 1：
The Nature of the Problem / 1-1：
The Role of Symmetry / 1-2：
Abstract Group Theory / 2：
Definitions and Nomenclature / 2-1：
Illustrative Examples / 2-2：
Rearrangement Theorem / 2-3：
Cyclic Groups / 2-4：
Subgroups and Cosets / 2-5：
Example Groups of Finite Order / 2-6：
Conjugate Elements and Class Structure / 2-7：
Normal Divisors and Factor Groups / 2-8：
Class Multiplication / 2-9：
Exercises
References
Theory of Group Representations / 3：
Definitions / 3-1：
Proof of the Orthogonality Theorem / 3-2：
The Character of a Representation / 3-3：
Construction of Character Tables / 3-4：
Decomposition of Reducible Representations / 3-5：
Application of Representation Theory in Quantum Mechanics / 3-6：
Illustrative Representations of Abelian Groups / 3-7：
Basis Functions for Irreducible Representations / 3-8：
Direct-product Groups / 3-9：
Direct-product Representations within a Group / 3-10：
Physical Applications of Group Theory / 4：
Crystal-symmetry Operators / 4-1：
The Crystallographic Point Groups / 4-2：
Irreducible Representations of the Point Groups / 4-3：
Elementary Representations of the Three-dimensional Rotation Group / 4-4：
Crystal-field Splitting of Atomic Energy Levels / 4-5：
Intermediate Crystal-field-splitting Case / 4-6：
Weak-crystal-field Case and Crystal Double Groups / 4-7：
Introduction of Spin Effects in the Medium-field Case / 4-8：
Group-theoretical Matrix-element Theorems / 4-9：
Selection Rules and Parity / 4-10：
Directed Valence / 4-11：
Application of Group Theory to Directed Valence / 4-12：
Full Rotation Group and Angular Momentum / 5：
Rotational Transformation Properties and Angular Momentum / 5-1：
Continuous Groups / 5-2：
Representation of Rotations through Eulerian Angles / 5-3：
Homomorphism with the Unitary Group / 5-4：
Representations of the Unitary Group / 5-5：
Representation of the Rotation Group by Representations of the Unitary Group / 5-6：
Application of the Rotation-representation Matrices / 5-7：
Vector Model for Addition of Angular Momenta / 5-8：
The Wigner or Clebsch-Gordan Coefficients / 5-9：
Notation, Tabulations, and Symmetry Properties of the Wigner Coefficients / 5-10：
Tensor Operators / 5-11：
The Wigner-Eckart Theorem / 5-12：
The Racah Coefficients / 5-13：
Application of Racah Coefficients / 5-14：
The Rotation-Inversion Group / 5-15：
Time-reversal Symmetry / 5-16：
More General Invariances / 5-17：
Quantum Mechanics of Atoms / 6：
Review of Elementary Atomic Structure and Nomenclature / 6-1：
The Hamiltonian / 6-2：
Approximate Eigenfunctions / 6-3：
Calculation of Matrix Elements between Determinantal Wavefunctions / 6-4：
Hartree-Fock Method / 6-5：
Calculation of L-S-term Energies / 6-6：
Evaluation of Matrix Elements of the Energy / 6-7：
Eigenfunctions and Angular-momentum Operations / 6-8：
Calculation of Fine Structure / 6-9：
Zeeman Effect / 6-10：
Magnetic Hyperfine Structure / 6-11：
Electric Hyperfine Structure / 6-12：
Molecular Quantum Mechanics / 7：
Born-Oppenheimer Approximation / 7-1：
Simple Electronic Eigenfunctions / 7-2：
Irreducible Representations for Linear Molecules / 7-3：
The Hydrogen Molecule / 7-4：
Molecular Orbitals / 7-5：
Heitler-London Method / 7-6：
Orthogonal Atomic Orbitals / 7-7：
Group Theory and Molecular Orbitals / 7-8：
Selection Rules for Electronic Transitions / 7-9：
Vibration of Diatomic Molecules / 7-10：
Normal Modes in Polyatomic Molecules / 7-11：
Group Theory and Normal Modes / 7-12：
Selection Rules for Vibrational Transitions / 7-13：
Molecular Rotation / 7-14：
Effect of Nuclear Statistics on Molecular Rotation / 7-15：
Asymmetric Rotor / 7-16：
Vibration-Rotation Interaction / 7-17：
Rotation-Electronic Coupling / 7-18：
Solid-state Theory / 8：
Symmetry Properties in Solids / 8-1：
The Reciprocal Lattice and Brillouin Zones / 8-2：
Form of Energy-band Wavefunctions / 8-3：
Crystal Symmetry and the Group of the k Vector / 8-4：
Pictorial Consideration of Eigenfunctions / 8-5：
Formal Consideration of Degeneracy and Compatibility / 8-6：
Group Theory and the Plane-wave Approximation / 8-7：
Connection between Tight- and Loose-binding Approximations / 8-8：
Spin-orbit Coupling in Band Theory / 8-9：
Time Reversal in Band Theory / 8-10：
Magnetic Crystal Groups / 8-11：
Symmetries of Magnetic Structures / 8-12：
The Landau Theory of Second-order Phase Transitions / 8-13：
Irreducible Representations of Magnetic Groups / 8-14：
Appendix
Review of Vectors, Vector Spaces, and Matrices / A：
Character Tables for Point-symmetry Groups / B：
Tables of c[superscript k] and a[superscript k] Coefficients for s, p, and d Electrons / C：
Index
Preface
Introduction / 1：
The Nature of the Problem / 1-1：
65.
図書
E.B. Davies
出版情報:
London ; New York : Academic Press, 1976 ix, 171 p. ; 24 cm
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66.
図書
given by Enrico Fermi at the University of Chicago
出版情報:
Chicago : Uniersity of Chicago Press, 1961 vii, 171 p. ; 21 cm
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67.
図書
by Volker Heine
68.
図書
Thomas F. Jordan
出版情報:
New York : Wiley, [1968, c1969] x, 144 p. ; 23 cm
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69.
図書
Eduard Prugovečki
70.
図書
by Paul Roman
71.
図書
Laurent Schwartz
出版情報:
New York : Gordon and Breach Science Publishers, c1968 x, 134 p. ; 24 cm
シリーズ名:
Documents on modern physics
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72.
図書
Stanley P. Gudder
目次情報:
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Preface
The History of Quantum Mechanics / 1：
Early History / 1.1：
Enter Probability / 1.2：
Some Comparisons / 1.3：
Notes and References / 1.4：
Exercises / 1.5：
A Different Kind of Probability / 2：
Interference Effects / 2.1：
Classical and Quantum Probability / 2.2：
Conditional Expectation / 2.3：
The Quantum Logic Approach / 2.4：
States and Observables / 3.1：
Event Structures / 3.2：
Compatibility / 3.3：
A Variance Theorem / 3.4：
Uniqueness and Existence / 3.5：
Hidden Variables / 3.6：
Generalized Probability Spaces / 3.7：
The Operational Approach / 3.8：
Convex Structures / 4.1：
Operations and Instruments / 4.2：
Examples / 4.3：
Conditional Expectations / 4.4：
Total Convex Structures / 4.5：
Hilbert Space Quantum Mechanics / 4.6：
Mathematical Interlude / 4.7：
Tempered Distributions / 5.1：
Orthogonal Additivity / 5.2：
C*-Algebras / 5.3：
Random Fields / 5.4：
The Wiener Process / 6.1：
Definitions and Examples / 6.2：
Gaussian Random Fields / 6.3：
Random Fields on [characters not reproducible] (R[superscript n]) / 6.4：
Quantum Field Theory / 6.5：
Canonical Commutation Relations / 7.1：
Infinite Degrees of Freedom / 7.2：
The Wightman Axioms / 7.3：
Fock Space / 7.4：
Euclidean Random Fields / 7.5：
Bibliography / 7.6：
Index
Preface
The History of Quantum Mechanics / 1：
Early History / 1.1：
73.
図書
Robert J. Finkelstein
74.
図書
by Lazar Mayants
出版情報:
Dordrecht, Holland ; Boston : D. Reidel Pub. Co , Hingham, MA : Sold and distributed in the U.S.A. and Canada by Kluwer Academic Publishers, c1984 xx, 373 p. ; 25 cm
シリーズ名:
Fundamental theories of physics ; v. 7
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75.
図書
by F.A. Berezin ; translated by Nobumichi Mugibayashi and Alan Jeffrey
76.
図書
by L.D. Faddeev and S.P. Merkuriev
77.
図書
Louis H. Kauffman, Randy A. Baadhio
78.
図書
Jan Peřina, Zdeněk Hradil, and Branislav Jurčo
79.
図書
Paul-André Meyer
80.
図書
Michael B. Mensky
出版情報:
Bristol : Institute of Physics Publishing, c1993 xiii, 188 p. ; 24 cm
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81.
図書
Paul H.E. Meijer, Edmond Bauer
出版情報:
Amsterdam : North-Holland Pub. Co., 1962 xi, 288 p. ; 23 cm
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82.
図書
Shahn Majid
83.
図書
Walter Dittrich, Martin Reuter
目次情報:
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Introduction
The Action Principles in Mechanics / 1：
The Action Principle in Classical Electrodynamics / 2：
Application of the Action Principles / 3：
Jacobi Fields, Conjugate Points / 4：
Canonical Transformations / 5：
The Hamilton-Jacobi Equation / 6：
Action-Angle Variables / 7：
The Adiabatic Invariance of the Action Variables / 8：
Time-Independent Canonical Perturbation Theory / 9：
Canonical Perturbation Theory with Several Degrees of Freedom / 10：
Canonical Adiabatic Theory / 11：
Removal of Resonances / 12：
Superconvergent Perturbation Theory, KAM Theorem (Introduction) / 13：
Poincare Surface of Sections, Mappings / 14：
The KAM Theorem / 15：
Fundamental Principles of Quantum Mechanics / 16：
Functional Derivative Approach / 17：
Examples for Calculating Path Integrals / 18：
Direct Evaluation of Path Integrals / 19：
Linear Oscillator with Time-Dependent Frequency / 20：
Propagators for Particles in an External Magnetic Field / 21：
Simple Applications of Propagator Functions / 22：
The WKB Approximation / 23：
Computing the trace / 24：
Partition Function for the Harmonic Oscillator / 25：
Introduction to Homotopy Theory / 26：
Classical Chern-Simons Mechanics / 27：
Semiclassical Quantization / 28：
The "Maslov Anomaly" for the Harmonic Oscillator / 29：
Maslov Anomaly and the Morse Index Theorem / 30：
BerryÆs Phase / 31：
Classical Analogues to BerryÆs Phase / 32：
Berry Phase and Parametric Harmonic Oscillator / 33：
Topological Phases in Planar Electrodynamics / 34：
References
Index
Introduction
The Action Principles in Mechanics / 1：
The Action Principle in Classical Electrodynamics / 2：
84.
図書
Jan Cnops
目次情報:
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Introduction
Clifford Algebras
Manifolds
Dirac Operators
Conformal Maps
Unique Continuation and the Cauchy Kernel
Boundary Values
Appendix
General Manifolds
The Additional Canterbury Tales
List of Symbols
Bibliography
Index
Introduction
Clifford Algebras
Manifolds
85.
図書
Kalyan B. Sinha, Debashish Goswami
86.
図書
Pierre Del Moral
87.
図書
Avinash Khare
出版情報:
Singapore : World Scientific, c2005 xiii, 300 p. ; 23 cm
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88.
図書
Bernard d'Espagnat
89.
図書
[by] Roger G. Newton
90.
図書
James Glimm, Arthur Jaffe
出版情報:
New York : Springer-Verlag, c1981 xx, 417 p. ; 24 cm
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91.
図書
Jean Leray ; English translation by Carolyn Schroeder
出版情報:
Cambridge, Mass. : MIT Press, c1981 xvi, 271 p. ; 24 cm
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92.
図書
by V.S. Varadarajan
93.
図書
a fundamental exposition by Hugh Everett, III ; with papers by J.A. Wheeler ... [et al.] ; edited by Bryce S. DeWitt and Neill Graham
出版情報:
Princeton, N.J. : Princeton University Press, 1973 viii, 252 p. ; 25 cm
シリーズ名:
Princeton series in physics
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The theory of the universal wave function / H. Everett
"Relative state" formulation of quantum mechanics / H. Everett
Assessment of Everett's "relative state" Formulation of quantum theory / J.A. Wheeler
Quantum mechanics and reality / B.S. DeWitt
The many-universes interpretation of quantum mechanics / B.S. DeWitt
On the interpretation of measurement within the quantum theory / L.N. Cooper and D. Van Vechten
The measurement of relative frequency / N. Graham
The theory of the universal wave function / H. Everett
"Relative state" formulation of quantum mechanics / H. Everett
Assessment of Everett's "relative state" Formulation of quantum theory / J.A. Wheeler
94.
図書
Enrico G. Beltrametti and Gianni Cassinelli ; foreword by Peter A. Carruthers
95.
図書
H.L. Cycon ... [et al.]
目次情報:
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Self-Adjointness / 1：
Basic Perturbation Theorems / 1.1：
Kato's Inequality and All That / 1.2：
The Leinfelder-Simader Theorem / 1.4：
Semigroup Properties / 2：
Estimates on Eigenfunctions / 2.2：
Local Estimates on Gradients / 2.3：
Eigenfunctions and Spectrum (Sch'nol's Theorem) / 2.4：
The Allegretto-Piepenbrink Theorem / 2.5：
Integral Kernels for exp(-tH) / 2.6：
Geometric Methods for Bound States / 3：
Partitions of Unity and the IMS Localization Formula / 3.1：
Multiparticle Schrödinger Operators / 3.2：
The HVZ-Theorem / 3.3：
More on the Essential Spectrum / 3.4：
A Theorem of Klaus: Widely Separated Bumps / 3.5：
Applications to Atomic Physics: A Warm-up / 3.6：
The Ruskai-Sigal Theorem / 3.7：
Lieb's Improvement of the Ruskai-Sigal Theorem / 3.8：
N-Body Systems with Finitely Many Bound States / 3.9：
Appendix: The Stone-Weierstrass Gavotte
Local Commutator Estimates / 4：
Putnam's Theorem and the Mourre Estimate / 4.1：
Control of Imbedded Eigenvalues / 4.2：
Absence of Singular Continuous Spectrum / 4.3：
Exponential Bounds and Nonexistence of Positive Eigenvalues / 4.4：
The Mourre Estimate for N-Body Schrodinger Operators / 4.5：
Phase Space Analysis of Scattering / 5：
Some Notions of Scattering Theory / 5.1：
Perry's Estimate / 5.2：
Enss' Version of Cook's Method / 5.3：
RAGE Theorems / 5.4：
Asymptotics of Observables / 5.5：
Asymptotic Completeness / 5.6：
Asymptotic Completeness in the Three-Body Case / 5.7：
Notes Added for this Reprint
Magnetic Fields / 6：
Gauge Invariance and the Essential Spectrum / 6.1：
A Schrodinger Operator with Dense Point Spectrum / 6.2：
Supersymmetry (in 0-Space Dimensions) / 6.3：
The Aharonov-Casher Result on Zero Energy Eigenstates / 6.4：
Theorem of Iwatsuka / 6.5：
An Introduction to Other Phenomena in Magnetic Fields / 6.6：
Electric Fields / 7：
The Two-Body Stark Effect / 7.1：
A Theorem Needed for the Mourre Theory of the One-Dimensional Electric Field / 7.2：
Propagators for Time-Dependent Electric Fields / 7.3：
Howland's Formalism and Floquet Operators / 7.4：
Potentials and Time-Dependent Problems / 7.5：
Complex Scaling / 8：
Review of "Ordinary" Complex Scaling / 8.1：
Translation Analyticity / 8.2：
Higher Order Mourre Theory / 8.3：
Computational Aspects of Complex Scaling / 8.4：
Complex Scaling and the DC-Stark Effect / 8.5：
Complex Scaling and the AC-Stark Effect / 8.6：
Extensions and Generalizations / 8.7：
Random Jacobi Matrices / 9：
Basic Definitions and Results / 9.1：
The Density of States / 9.2：
The Lyaponov Exponent and the Ishii-Pastur-Kotani Theorem / 9.3：
Subharmonicity of the Lyaponov Exponent and the Thouless Formula / 9.4：
Point Spectrum for the Anderson Model / 9.5：
Almost Periodic Jacobi Matrices / 10：
Almost Periodic Sequences and Some General Results / 10.1：
The Almost Mathieu Equation and the Occurrence of Singular Continuous Spectrum / 10.2：
Pure Point Spectrum and the Maryland Model / 10.3：
Cantor Sets and Recurrent Absolutely Continuous Spectrum / 10.4：
Witten's Proof of the Morse Inequalities / 11：
The Quasiclassical Eigenvalue Limit / 11.1：
The Morse Inequalities / 11.2：
Hodge Theory / 11.3：
Witten's Deformed Laplacian / 11.4：
Proof of Theorem 11.4 / 11.5：
Patodi's Proof of the Gauss-Bonnet-Chern Theorem and Superproofs of Index Theorems / 12：
A Very Rapid Course in Riemannian Geometry / 12.1：
The Berezin-Patodi Formula / 12.2：
The Gauss-Bonnet-Chern Theorem: Statement and Strategy of the Proof / 12.3：
Bochner Laplacian and the Weitzenbock Formula / 12.4：
Elliptic Regularity / 12.5：
A Canonical Order Calculus / 12.6：
Cutting and Pasting / 12.7：
Completion of the Proof of the Gauss-Bonnet-Chern Theorem / 12.8：
Mehler's Formula / 12.9：
Introduction to the Index Theorem for Dirac Operators / 12.10：
Bibliography
References Added for this Reprint
List of Symbols
Subject Index
Self-Adjointness / 1：
Basic Perturbation Theorems / 1.1：
Kato's Inequality and All That / 1.2：
96.
図書
S.J.L. van Eijndhoven, J. de Graaf
出版情報:
Amsterdam ; Tokyo : North-Holland , New York : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1986 xv, 430 p. ; 23 cm
シリーズ名:
North-Holland mathematical library ; v. 36
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Some Basic Concepts and Developments in Sobolev Triples
Carleman Operators
A Measure Theoretical Sobolev Lemma
Dirac Bases
The Generalized Eigenvalue Problem for Self-Adjoint Operators
Direct Resolutions in Sobolev Triples
A Theory of Generalized Functions
Analyticity Spaces, Trajectory Spaces and Their Duality
Linear Mappings, Tensor Products and Kernel Theorems
Illustrations of Analyticity Spaces and Trajectory Spaces
The Concept of Dirac Bases Lifted to Trajectory Spaces
A Mathematical Interpretation of Dirac's Formalism
Dirac's Formalism According to Dirac and its Relations with Linear Algebra
A Mathematical Interpretation of Dirac's Bracket Formalism
The Free Field Operator Formalism
Some Basic Concepts and Developments in Sobolev Triples
Carleman Operators
A Measure Theoretical Sobolev Lemma
97.
図書
Gerald Rosen
98.
図書
Otton Martin Nikodým
99.
図書
Albert Messiah ; [translated from the French by G.M. Temmer]
出版情報:
Amsterdam : North-Holland , New York : Sole dostributors for U.S.A., Intersicence Publishers, 1961-1962 2 v. (xv, 1136 p.) ; 22 cm
シリーズ名:
Series in physics
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100.
図書
David Park
出版情報:
Berlin ; New York : Springer-Verlag, c1990 ix, 333 p. ; 25 cm
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