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1.

図書

図書
Bo Holm Jacobsen, Klaus Mosegaard, Paolo Sibani (eds.)
出版情報: Berlin : Springer, c1996  xvi, 341 p. ; 24 cm
シリーズ名: Lecture notes in earth sciences ; 63
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2.

図書

図書
L.J. Mason and N.M.J. Woodhouse
出版情報: Oxford ; New York : Clarendon Press, 1996  x, 364 p. ; 25 cm
シリーズ名: London Mathematical Society monographs ; new ser., 15
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3.

図書

図書
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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目次情報: 続きを見る
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
4.

図書

図書
Rafał Abłamowicz, Pertti Lounesto, Josep M. Parra, editors
出版情報: Boston : Birkhäuser, 1996  xvii, 322 p. ; 26 cm
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5.

図書

図書
Karl Heinz Hoffmann, Michael Schreiber (Eds.)
出版情報: Berlin : Springer, c1996  xiv, 379 p. ; 25 cm
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6.

図書

図書
Vladislav V. Kravchenko and Michael V. Shapiro
出版情報: Harlow : Longman, 1996  247 p. ; 25 cm
シリーズ名: Pitman research notes in mathematics series ; 351
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7.

図書

図書
Michel Willem
出版情報: Boston : Birkhäuser, 1996  viii, 159 p. ; 25 cm
シリーズ名: Progress in nonlinear differential equations and their applications / editor, Haim Brezis ; v. 24
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8.

図書

図書
by Yuri E. Gliklikh
出版情報: Dordrecht ; Boston : Kluwer Academic Publishers, c1996  xvi, 189 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 374
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9.

図書

図書
M.G. Calkin
出版情報: Singapore : World Scientific, c1996  ix, 216 p. ; 23 cm
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10.

図書

図書
by John W. Morgan
出版情報: Princeton, NJ : Princeton University Press, 1996  vi, 128 p. ; 24 cm
シリーズ名: Mathematical notes ; 44
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目次情報: 続きを見る
Introduction / 1:
Clifford Algebras and Spin Groups / 2:
Spin Bundles and the Dirac Operator / 3:
The Seiberg-Witten Moduli Space / 4:
Curvature Identities and Bounds / 5:
The Seiberg-Witten Invariant / 6:
Invariants of Kahler Surfaces / 7:
Bibliography
Introduction / 1:
Clifford Algebras and Spin Groups / 2:
Spin Bundles and the Dirac Operator / 3:
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