量子力學(xué)對稱性

內(nèi)容概要

這是一套由德國著名理論物理學(xué)家W．Griner教授編著的13卷集的理論物理學(xué)教科書。是一套內(nèi)容完整的非常實用的從大學(xué)生到碩士研究生的現(xiàn)代物理學(xué)教材。它以系統(tǒng)的、統(tǒng)一的、連貫的方式闡述了現(xiàn)代理論物理學(xué)的諸方面。這套教材面世后，不僅在德國產(chǎn)生了巨大的影響，其英文版的及時推出，對全世界理論物理學(xué)的教學(xué)也起了很好的促進作用。    本套教材的特點是：①取材新穎。作者十分重視最新實驗數(shù)據(jù)對理論物理學(xué)概念發(fā)展和深化的重要作用，不斷引人大量新的材料擴充其內(nèi)容。②內(nèi)容敘述簡明。    清晰、易懂，數(shù)學(xué)推導(dǎo)詳盡。③每卷中都輸入了數(shù)以百計的例題和習(xí)題，并均給出了詳細的解答。這在當前理物理學(xué)的大量出版物中是極為難得的，它能幫助和輔導(dǎo)學(xué)生把理論物理學(xué)的概念與方法應(yīng)用于解決物理學(xué)家感興趣的實驗問題。④書中每章后附有與本章內(nèi)容有關(guān)的科學(xué)家傳略。這套風(fēng)格風(fēng)格一致、符號統(tǒng)一、前后連貫、內(nèi)容全面的教材，不僅對理論物理專業(yè)的大學(xué)生、教師、研究生及研究人員是難得的好書，對廣大愛好理論物理學(xué)的各方面人士也有很好的參考價值。

書籍目錄

1. Symmetries in Quantum Mechanics  1.1  Symmetries in Classical Physics  1.2  Spatial Translations in Quantum Mechanics  1.3  The Unitary Translation Operator  1.4  The Equation of Motion for States Shifted in Space  1.5  Symmetry and Degeneracy of States  1.6  Time Displacements in Quantum Mechanics  1.7  Mathematical Supplement: Definition of a Group  1.8  Mathematical Supplement:Rotations and their Group Theoretical Properties   1.9  An Isomorphism of the Rotation Group  1.10   The Rotation Operator for Many-Particle States   1.11   Biographical Notes2. Angular Momentum Algebra Representation  of Angular Momentum Operators: Generators of SO(3)    2.1  Irreducible Representations of the Rotation Group  2.2  Matrix Representations of Angular Momentum Operators  2.3  Addition of Two Angular Momenta  2.4  Evaluation of Clebsch-Gordan Coefficients  2.5  Recursion Relations for Clebsch-Gordan Coefficients  2.6   Explicit Calculation of Clebsch-Gordan Coefficients   2.7  Biographical Notes3. Mathematical Supplement: Fundamental Properties of Lie Groups  3.1  General Structure of Lie Groups  3.2  Interpretation of Commutators as Generalized Vector Products, Lie's Theorem, Rank of Lie Group  3.3   Invariant Subgroups, Simple and Semisimple Lie Groups, Ideals  3.4  Compact Lie Groups and Lie Algebras  3.5  Invariant Operators (Casimir Operators)  3.6   Theorem of Racah  3.7   Comments on Multiplets  3.8   Invariance Under a Symmetry Group  3.9  Construction of the Invariant Operators  3.10  Remark on Casimir Operators of Abelian Lie Groups   3.11   Completeness Relation for Casimir Operators  3.12   Review of Some Groups and Their Propertiesand Transformations of Functions  3.14  Biographical Notes4.Symmetry Groups and Their Physical Meaning:General Considerations  4.1  Biographical Notes5.The lsospin Group (Isobaric Spin)   5.1  Isospin Operators for a Multi-Nucleon System   5.2  General Properties of Representations of a Lie Algebra    5.3  Regular (or Adjoint) Representation of a Lie Algebra   5.4  Transformation Law for Isospin Vectors   5.5  Experimental Test of Isospin lnvariance   5.6  Biographical Notes6.The Hypercharge   6.1  Biographical Notes7. The SU(3) Symmetry  7.1  The Groups U(n) and SU(n)  7.2  The Generators of SU(3)  7.3  The Lie Algebra of SU(3)  7.4  The Subalgebras of the SU(3) Lie Algebra and the Shift Operators  7.5  Coupling of T, U and V Multiplets   7.6  Quantitative Analysis of Our Reasoning  7.7  Further Remarks About the Geometric Form of an SU(3) Multiplet  7.8  The Number of States on Mesh Points on Inner Shells8.Quarks and SU(3)  8.1  Searching for Quarks  8.2  The Transformation Properties of Quark States  8.3  Construction of all SU(3) Multiplets from the Elementary Representations [3] and  8.4  Construction of the Representation D(p, q) from Quarks and Antiquarks  8.5  Meson Multiplets  8.6  Rules for the Reduction of Direct Products of SU(3) Multiplets  8.7  U-Spin Invariance  8.8  Test of U-Spin Invariance  ……9.Representations of the Permutation Group and Young Tableanx10.Mathematical Excursion Group Characters11.Charm and SU(4)12.Mathematical Supplement13.Special Discrdts Symmetries14.Dynamical Symmetries15.Mathematical Excursion:Non-compact Lie Gruoups16.Proff of Racah s TheoremSubject Index

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