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1.

図書
図書
1. Mathematical methods in theoretical physics
edited by Wesley E. Brittin
出版情報: Boulder : Colorado Associated University Press, c1973  x, 568 p ; 24 cm
シリーズ名: Lectures in theoretical physics / edited by Wesley E. Brittin and Lita G. Dunham ; v. 14B
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2.

図書
図書
2. Fundamental formulas of physics (v. 1 ; v. 2)
edited by Donald H. Menzel
出版情報: New York : Dover Publications, 1960  2 v. (xx, 741 p.) ; 21 cm
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3.

図書
図書
3. Математическая физика : республиканский межведомственный сборник ([вып. 1] - вып. 34)
Akademii︠a︡ nauk Ukraïnsʹkoï RSR ; Instytut matematyky (Akademii︠a︡ nauk Ukraïnsʹkoï RSR)
出版情報: Киев : Наукова думка, 1965-  v. ; 21-27 cm
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4.

図書
図書
4. Advanced engineering mathematics. 8th ed (: hc ; : pbk)
Erwin Kreyszig
出版情報: New York : John Wiley & Sons, c1999  xvi, 1156, 97, 20 p. ; 26-27 cm
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目次情報: 続きを見る
How to Use this Student Solutions Manual and Study Guide
Ordinary Differential Equations (ODEs) / Part A：
First-Order ODEs / Chapter 1：
Second-Order Linear ODEs / Chapter 2：
Ordinary Differential Equations (Ode's)
First-Order ODE's / Chapter 3：
Higher Order Linear ODEs
Second Order Linear ODE's / Chapter 4：
Systems of ODEs. Phase Plane. Qualitative Methods
Higher Order Linear ODE's
Systems of ODE's Phase Plane, Qualitative Methods / Chapter 5：
Series Solutions of ODEs. Special Functions
Series Solutions of ODE's Special Functions / Chapter 6：
Laplace Transforms
Linear Algebra, Vector Calculus / Part B：
Linear Algebra: Matrices, Vectors, Determinants: Linear Systems / Chapter 7：
Matrices, Vectors, Determinants. Linear Systems / Chapter 8：
Linear Algebra: Matrix Eigenvalue Problems
Vector Differential Calculus: Grad, Div, Curl / Chapter 9：
Vector Integral Calculus: Integral Theorems / Chapter 10：
Vector Differential Calculus. Grad, Div, Curl / Part C：
Fourier Analysis, Partial Differential Equations
Fourier Series, Integrals, and Transforms / Chapter 11：
Vector Integral Calculus. Integral Theorems
Partial Differential Equations (PDE 's) / Chapter 12：
Fourier Analysis. Partial Differential Equations / Chapter 13：
Complex Numbers and Functions
Complex Integration / Chapter 14：
Power Series, Taylor Series / Chapter 15：
Partial Differential Equations (PDEs) / Chapter 16：
Laurent Series: Residue Integration
Conformal Mapping / Part D：
Complex Analysis
Complex Analysis and Potential Theory / Chapter 18：
Numerical Analysis Software / Part E：
Numerics in General / Chapter 19：
Numerical Linear Algebra / Chapter 20：
Numerics for ODE 's and PDE 's / Chapter 21：
Optimization, Graphs / Part F：
Laurent Series. Residue Integration
Unconstrained Optimization: Linear Programming / Chapter 22：
Graphs, Combinatorial Optimization / Chapter 23：
Probability / Part G：
Statistics
Data Analysis / Chapter 24：
Numeric Analysis
Probability Theory
Mathematical Statistics / Chapter 25：
References / Appendix 1：
Numeric Linear Algebra / Appendix 2：
Answers to Odd-Numbered Problems
Auxiliary Material / Appendix 3：
Numerics for ODEs and PDEs
Additional Proofs / Appendix 4：
Tables / Appendix 5：
Index
Unconstrained Optimization. Linear Programming
Graphs and Combinatorial Optimization
Probability, Statistics
Data Analysis. Probability Theory
Photo Credits
How to Use this Student Solutions Manual and Study Guide
Ordinary Differential Equations (ODEs) / Part A：
First-Order ODEs / Chapter 1：
5.

図書
図書
5. Green's functions and boundary value problems. 2nd ed
Ivar Stakgold
出版情報: New York : Wiley, c1998  xvii, 689 p. ; 25 cm
シリーズ名: Pure and applied mathematics
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6.

図書
図書
6. Symmetries in quantum physics
U. Fano, A.R.P. Rau
出版情報: San Diego ; Tokyo : Academic Press, c1996  xiv, 333 p. ; 24 cm
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Introduction: Symmetry and the Selection of Variables
Algebraic Elements
Reduction Procedure and Irreducible Tensorial Sets
Further Aspects of Reduction
Structure of the Book
Quaternions
State Representatives and r -Transformations: Their Construction and Properties / Part A：
Infinitesimal Rotations and Angular Momentum
Basic Relations
Analytical Example: Infinitesimal Transformation of Cartesian Coordinates
The Angular Momentum Matrices of Quantum Mechanics
The Fundamental Representation
Frame Reversal and Complex Conjugation
Analytical Representation and Implications of Frame Reversal
Contragradience and the Construction of Invariants
Cartesian Base for Integer j
[greater than or equal to sign here]1
Standard r -Transformation Matrices and Their Applications
Explicit Form and Properties
Macroscopic Applications
Applications to Quantum Physics
Coordinate Inversion and Parity Eigenfunctions
Reduction of Direct Products (Addition of Angular Momenta)
Structure and Properties of the Reducing Matrix
Reduction of r -Transformation Products
Irreducible Product Sets
Symmetrization of Wigner Coefficients: Invariant Triple Product and 3-j
Coefficients
Tensorial Aspects of Quantum Physics / Part B：
Tensorial Sets of Quantum Operators
The Liouville Representation of Quantum Mechanics
Quantum Mechanics of Particles with Spin 1/2
Two-Level Systems
Particles With Spin j >1/2: Wigner-Eckart Theorem
Systems with 2j +1 Levels
Transfer of Angular Momentum
Calculation of Matrix Elements
Recoupling Transformations: 6-j and 9-j
Transformation Matrices and Their Analysis
Symmetrized Recoupling: 6-j and9-j
Products of Operators
Combining Operators of Different Systems
Illustrations
Partially Filled Shells of Atoms or Nuclei
Qualitative Discussion
Shell-wide Treatment
Algebra of Triple Tensors and Its Applications
Symmetries of Higher Dimensions / Part C：
Discrete Transformations of Coordinates
Point Symmetry Operations and Their Groups
Characters of Group Representations and Their Applications
Symmetries of Molecules and Crystals
Rotation Groups in Higher Dimensions: Multiparticle Problems
Four-Dimensional Rotations: the Coulomb-Kepler Problem
Orthogonal Groups in Higher Dimensions
Further Developments
Lorentz Transformations and the Lorentz and Poincare Groups
Lorentz Transformations
Generators and Representations of the Lorentz Group
The Inhomogenous Lorentz (Poincare) Group
Field Representations
Symmetries of the Scattering Continuum
Symmetries of Radial Eigenfunctions
The Full Noninvariance Group of Hydrogen
Dynamics as Symmetry Transformations
Bibliography
Index
Introduction: Symmetry and the Selection of Variables
Algebraic Elements
Reduction Procedure and Irreducible Tensorial Sets
7.

図書
図書
7. Some improperly posed problems of mathematical physics
[by] M.M. Lavrentiev ; translation revised by Robert J. Sacker
出版情報: Berlin ; Heidelberg ; New York : Springer-Verlag, 1967  72 p. ; 24 cm
シリーズ名: Springer tracts in natural philosophy ; v. 11
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8.

図書
図書
8. Special functions and their applications. Rev. English ed. / translated and edited by Richard A. Silverman
N.N. Lebedev
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, c1965  xii, 308 p. ; 24 cm
シリーズ名: Selected Russian publications in the mathematical sciences
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9.

図書
図書
9. Functional analysis. Rev. and enl. ed
Michael Reed, Barry Simon
出版情報: New York ; Tokyo : Academic Press, c1980  xv, 400 p. ; 24 cm
シリーズ名: Methods of modern mathematical physics / Michael Reed, Barry Simon ; 1
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Preliminaries
Hilbert Spaces
Banach Spaces
Topological Spaces
Locally Convex Spaces
Bounded Operators
The Spectral Theorem
Unbounded Operators
The Fourier Transform
Supplementary Material
List of Symbols
Index
Preliminaries
Hilbert Spaces
Banach Spaces
10.

図書
図書
10. The stability of matter : from atoms to stars : selecta of Elliott H. Lieb (: gw ; : us)
edited by W. Thirring ; with a preface by F. Dyson
出版情報: Berlin ; Tokyo : Springer-Verlag, c1991  viii, 565 p. ; 25 cm
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Introduction
Review / Part I：
The Stability of Matter: From Atoms to Stars / I.1：
Exact Results on Atoms / Part II：
Lower Bound to the Energy of Complex Atoms / P. Hertel ; W. ThirringII.1：
Improved Lower Bound on the Indirect Coulomb Energy / S. OxfordII.2：
Monotonicity of the Molecular Electronic Energy in the Nuclear Coordinates / II.3：
Proof of the Stability of Highly Negative Ions in the Absence of the Pauli Principle / R. BenguriaII.4：
Atomic and Molecular Negative Ions / II.5：
Bound on the Maximum Negative Ionization of Atoms and Molecules / II.6：
Approximate Neutrality of Large-Z Ions / l.M. Sigal ; B.SimonIL.7：
Universal Nature of van der Waals Forces for Coulomb Systems / II.8：
Electron Density Near the Nucleus of a Large Atom / O.J. HeilmannII.9：
Proof of a Conjecture About Atomic and Molecular Cores Related to ScottÆs Correction / A. lantchenko ; H. SiedentopII.10：
Asymptotics of Natural and Artificial Atoms in Strong Magnetic Fields / J.P. Solovej ; J. YngvasonII.11：
Ground States of Large Quantum Dots in Magnetic Fields / II.12：
General Results with Applications to Atoms / Part III：
Kinetic Energy Bounds and Their Application to the Stability ofMatter / III.1：
Inequalities for the Moments of the Eigenvalues of the Schrodinger Hamiltonian and Their Relation to Sobolev Inequalities / III.2：
On Semi-Classical Bounds for Eigenvalues of Schrodinger Operators / M. AizenmanIII.3：
The Number of Bound States of One-Body Schrodinger Operators and the Weyl Problem / III.4：
Variational Principle for Many-Fermion Systems / III.5：
Thomas-Fermi and Related Theories / Part IV：
Thomas-Fermi and Related Theoies of Atoms and Molecules / IV.1：
The Hartree-Fock Theory for Coulomb Systems / B. SimonIV.2：
There Are No Unfilled Shells in Unrestricted Hartree-Fock Theory / V. Bach ; M. LossIV.3：
Many-Body Atomic Potentials in Thomas-Fermi Theory / IV.4：
The Positivity of the Pressure in Thomas-Fermi Theory / IV.5：
The Thomas-Fermi-von Weizsacker Theory of Atoms and Molecules / H. BrezisIV.6：
Analysis of the Thomas-Fermi-von Weizsacker Equation for an Infinite Atom Without Electron Repulsion / IV.7：
The Most Negative Ion in the Thomas-Fermi-von Weizsacker Theory of Atoms and Molecules / IV.8：
Stability of Matter / Part V：
Bound for the Kinetic Energy of Fermions Which Proves the Stability of Matter / V.1：
Stability of Coulomb Systems with Magnetic Fields. I. The One-Electron Atom / J. FrohlichV.2：
Stability of Coulomb Systems with Magnetic Fields. II. The Many-Electron Atom and the One-Electron Molecule / V.3：
Stability of Matter in Magnetic Fields / V.4：
The Chandrasekhar Theory of Stellar Collapse as the Limit of Quantum Mechanics / H.-T. YauV.5：
One-Electron Relativistic Molecules with Coulomb Interaction / I. DaubechiesV.6：
The Stability and Instability of Relativistic Matter / V.7：
Stability of Relativistic Matter Via Thomas-Fermi Theory / V.8：
Stability and Instability of Relativistic Electrons in Classical Electromagnetic Fields / V.9：
The Thermodynamic Limit for Real Matter with Coulomb Forces / Part VI：
The Stability of Matter / VI.1：
Existence of Thermodynamics for Real Matter with Coulomb Forces / J.L. LebowitzVI.2：
The Thermodynamic Limit for Jellium / H. NarnhoferVI.3：
Quantum Electrodynamics / Part VII：
Self Energy of Electrons in Non-perturbative QED / VII.1：
Renormalization of the Regularized Electron-Positron Field / VII.2：
Ground States in Non-relativistic Quantum Electrodynamics / M. GriesemerVII.3：
Bosonic Systems / Part VIII：
Ground State Energy of the Low Density Bose Gas / VIII.1：
Bosons in a Trap: A Rigorous Derivation of the Gross-Pitaevskii Energy Functional / R. SeiringerVIII.3：
The Bose Gas: A Subtle Many-Body Problem / VIII.4：
The N5/3 Law for Bosons / VIII.5：
The N7/5 Law for Charged Bosons / J.G. ConlonVIII.6：
Ground State Energy of the One-Component Charged Bose Gas / VIII.7：
Publications of Elliott / H.Lieb
Introduction
Review / Part I：
The Stability of Matter: From Atoms to Stars / I.1：
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