Topics in contemporary mathematical physics

>> Google Books

所蔵情報QRコード

Topics in contemporary mathematical physics / Kai S. Lam

資料種別:: 図書
出版情報:: Singapore ; New Jersey : World Scientific, c2003
形態:: xii, 604 p. ; 26 cm
著者名:: Lam, K. S. (Kai Shue), 1949- <DA12540956>
ISBN:: 9789812384041 [9812384049]
書誌ID:: BA63055190

子書誌情報

フルテキスト

所蔵情報

他の版・巻

書誌詳細

注記:

Includes bibliographical references (p. 585-587) and index

言語:

英語

目次情報:

Preface

Vectors and Linear Transformations / 1：

Tensors / 2：

Symmetry and Conservation: the Angular Momentum / 3：

The Angular Momentum as Generators of Rotations: Lie Groups and Lie Algebras / 4：

Algebraic Structures / 5：

Basic Group Concepts / 6：

Basic Lie Algebra Concepts / 7：

Inner Products, Metrics, and Dual Spaces / 8：

SO(4) and the Hydrogen Atom / 9：

Adjoints and Unitary Transformations / 10：

The Lorentz Group and SL(2, C) / 11：

The Dirac Bracket Notation in Quantum Theory / 12：

The Quantum Mechanical Simple Harmonic Oscillator / 13：

Fourier Series and Fourier Transforms, the Dirac Delta Function, Green's Functions / 14：

The Continuous Spectrum and Non-normalizable States / 15：

Skew-Symmetric Tensors and Determinants / 16：

Eigenvalue Problems / 17：

Group Representation Theory / 18：

The Dihedral Group D[subscript 6] and the Benzene Molecule / 19：

Representations of the Symmetric Groups and the General Linear Groups, Young Diagrams / 20：

Irreducible Representations of U(n), SL(n), SU(n) and O(n) / 21：

Irreducible Representations of SU(2) and SO(3) / 22：

The Spherical Harmonics / 23：

The Structure of Semisimple Lie Algebras / 24：

The Representations of Semisimple Lie Algebras / 25：

SU(3) and the Strong Interaction / 26：

Clifford Algebras / 27：

Exterior Products / 28：

The Hodge-Star Operator / 29：

Differential Forms and Exterior Differentiation / 30：

Moving Frames and Curvilinear Coordinates in R[superscript 3] / 31：

Integrals of Differential Forms and the Stokes Theorem / 32：

Homology and De Rham Cohomology / 33：

The Geometry of Lie Groups / 34：

Connections and Curvatures on a Vector Bundle / 35：

Yang-Mills Equations / 36：

Connections on a Principal Bundle / 37：

Magnetic Monopoles and Molecular Dynamics / 38：

Riemannian Geometry / 39：

Complex Manifolds / 40：

Characteristic Classes / 41：

Chern-Simons Forms / 42：

The Atiyah-Singer Index Theorem / 43：

Symplectic Structures and Hamiltonian Mechanics / 44：

References

Preface

Vectors and Linear Transformations / 1：

Tensors / 2：

Symmetry and Conservation: the Angular Momentum / 3：

The Angular Momentum as Generators of Rotations: Lie Groups and Lie Algebras / 4：

Algebraic Structures / 5：

続きを見る

東工大ブックレビュー

類似資料:

1 図書 Lectures on differential geometry (: pbk) Chern, Shiing-Shen, 1911-2004, Chʿen, Wei-huan, Lam, K. S. (Kai Shue), 1949- World Scientific	7 図書 The Allyn and Bacon series : topics in contemporary mathematics Allyn and Bacon
2 図書微分幾何学講義 : リーマン・フィンスラー幾何学入門 Chern, Shiing-Shen, 1911-2004, Chen, Wei‐Huan, Lam, K. S. (Kai Shue), 1949-, 島田, 英夫, Sabau, Vasile Sorin 培風館	8 電子ブック Knowledge Sharing through Technology Lam, Jeanne; Cheung, Simon K.S. Springer eBooks Computer Science, Springer Berlin Heidelberg
3 図書 Invitation to contemporary physics (: pbk.) Ho-Kim, Q. (Quang), 1938-, Kumar, N. (Narendra Kumar), 1940-, Lam, Harry C. S. World Scientific	9 図書 Geometry in mathematical physics and related topics (: set) Greene, Robert Everist, 1943-, Yau, Shing Tung, Summer Research Institute on Differential Geometry American Mathematical Society
4 図書 Mathematical methods for physics and engineering (: hbk ; : pbk) Riley, K. F. (Kenneth Franklin), 1936-, Hobson, M. P. (Michael Paul), 1967-, Bence, S. J. (Stephen John), 1972- Cambridge University Press	10 図書 Waynflete lectures on physics : selected topics in contemporary physics and astrophysics Ginzburg, V. L. (Vitaliĭ Lazarevich), 1916- Pergamon Press
5 図書 Topics in mathematical physics Consultants Bureau	11 図書 Clifford algebras and their applications in mathematical physics NATO and SERC Workshop on Clifford Algebras and Their Applications in Mathematical Physics, Chisholm, J. S. R. (John … D. Reidel, Sold and distributed in the U.S.A. and Canada by Kluwer Academic Publishers
6 電子ブック Methods of Contemporary Mathematical Statistical Physics Biskup, Marek, Bovier, Anton, Hollander, Frank, Ioffe, Dima, Kotecký, Roman, Martinelli, Fabio, Netocný, Karel, … SpringerLink Books - AutoHoldings, Springer Berlin Heidelberg	12 図書 Introduction to nonlinear physics Lam, Lui Springer