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1.

図書
図書
1. Similarity, self-similarity, and intermediate asymptotics
G.I. Barenblatt ; translated from Russian by Norman Stein ; translation editor, Milton van Dyke
出版情報: New York : Consultants Bureau, c1979  xvii, 218 p. ; 24 cm
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2.

図書
図書
2. A survey of hidden-variables theories
by F.J. Belinfante
出版情報: Oxford : Pergamon Press, 1973  xix, 354 p. ; 25 cm
シリーズ名: International series of monographs in natural philosophy ; v. 55
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3.

図書
図書
3. 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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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
4. Difference methods for initial-value problems. 2nd ed
Robert D. Richtmyer, K.W. Morton
出版情報: New York : Interscience Publishers, c1967  xiv, 405 p. ; 24 cm
シリーズ名: Interscience tracts in pure and applied mathematics ; no. 4
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5.

図書
図書
5. Group theory and its applications ([v. 1] ; v. 2 ; v. 3)
edited by Ernest M. Loebl ; [contributors, R.E. Behrends ... et al.]
出版情報: New York : Academic Press, 1968-1975  3 v. ; 24 cm
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6.

図書
図書
6. Current algebras and their applications
by B. Renner
出版情報: Oxford ; New York : Pergamon Press, c1968  xiv, 177 p. ; 22 cm
シリーズ名: International series of monographs in natural philosophy ; v. 12
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7.

図書
図書
7. Applications of functional analysis in mathematical physics
by S.L. Sobolev ; translated from the Russian by F.E. Browder
出版情報: Providence, R.I. : American Mathematical Society, 1963  vii, 239 p. ; 24 cm
シリーズ名: Translations of mathematical monographs ; v. 7
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8.

図書
図書
8. Mathematics of physics and modern engineering. 2nd ed. International student ed
I.S. Sokolnikoff, R.M. Redheffer
出版情報: Singapore ; Tokyo : McGraw-Hill International Book Co., 1966  xi, 752 p. ; 25 cm
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9.

図書
図書
9. Differential equations of mathematical physics
[by] N.S. Koshlyakov, M.M. Smirnov [and] E.B. Gliner ; Translated from the Russian by Scripta Technica.
出版情報: Amsterdam : North-Holland , New York : Interscience Publishers, 1964  xvi, 701 p. ; 23 cm
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10.

図書
図書
10. Mathematical methods of physics. 2nd ed
[by] Jon Mathews [and] R. L. Walker
出版情報: New York : W. A. Benjamin, 1970  xiii, 501 p ; 24 cm
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目次情報: 続きを見る
Ordinary Differential Equations / 1：
Infinite Series / 2：
Evaluation of Integrals / 3：
Integral Transforms / 4：
Further Applications of Complex Variable / 5：
Vectors and Matrices / 6：
Special Functions / 7：
Partial Differential Equations / 8：
Eigenfuctions, Eigenvalues, and Green's Functions / 9：
Peturbation Theory / 10：
Integral Equations / 11：
Calculus of Variations / 12：
Numerical Methods / 13：
Probability and Statistics / 14：
Tensor Analysis and Differential Geometry / 15：
Introduction to Groups and Group Representations / 16：
Appendix: Some Properties of Functions of a Complex Variable
Bibliography
Index
Ordinary Differential Equations / 1：
Infinite Series / 2：
Evaluation of Integrals / 3：
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