Book Review: Lie Algebras and Quantum Mechanics and Vector Bundles in Mathematical Physics
Abstract
analysis and related topics (basic theory) Generalized functions Induced representations Lagrangian systems (Noether's theorem, etc.) Lie algebras (basic theory) Lie algebras (advanced topics) Lie groups (basic theory) Lie groups (advanced topics) Manifold theory (calculus on manifolds, etc.) Path integrals Quantization Quantum field theory Scattering theory Symmetry groups in classical and quantum mechanics Statistical mechanics Thermodynamics LG(Ch.10), VB-l(Ch.VII, VIII), VB-2(Ch.VI, IX) LG(Ch.17, 18) LG(Ch.13), FA(Ch.II), PA(Ch.VII) MP-l(Ch.I, HI, IV), MP-2 (Appendix), PA(Ch.Ill, IV, VIII, IX) MP-l(Ch.V), MP-2(Ch.II), LA (Ch.IX), PS(Ch.IV), PA(Ch.II) LG(Ch.9,12), VB-l(Ch.VI) VB-l(Ch.Ill, IV, VII), PS(Ch.HI, IV) LG(Ch.3-5), LA(Ch.I), VB-2(Ch.HI) LG(Ch.5-8) LG(Ch.1-3), MP-2(Ch. 3 = pp.131-517!), PA(Ch.I) LG(Ch.11,15), PA(Ch.X) DG(Part I), MP-l(Ch.II), VB-1 (Ch.I), VB-2(Ch.I), PS(Ch.I) MP-2(Ch.IV) LA(Ch.II, VI), VB-2(Ch.IV, VII) LA(Ch.V, VI, VII), MP-2(Ch.VIII), VB-2(Ch.V, VII, VIII, IX) LA(Ch.VII, IX), MP-2(Ch.V), PA(Ch.XII) DG(Ch.16), LG(Ch.16), VB-1 (Ch.II), VB-2(Ch.VIII), MP-1 (Ch.VI), PS(Ch.IV, V) MP-2(Ch.VII) PS(Ch.VI)TABLE 2. The above table makes it clear that there are many interconnections
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