This book highlights advanced quantum mechanics and is a sequel to the First Volume-Quantum Mechanics: Axiomatic Approach and Understanding Through Mathematics. Part I of the book presents commonly needed tools in a systematic sequence (in contrast with presenting a particular tool at random when needed) to prepare the reader for advanced topics. Topics included are: generalized angular momentum, spin formalism, addition of two, three and four angular momenta, rotation, symmetry, system of identical particles and occupation number representation. Part II deals with time independent approximation (perturbation, variation and WKB) methods. A glimpse of numerical methods for time independent problems is also included in Part II. Part III contains time dependent (perturbation, sudden and adiabatic) methods. Exact quantum mechanical solvability is explained by supersymmetric quantum mechanics in Appendix E.
Generalized Angular Momentum.- Spin.- Addition of Angular Momenta.-
Rotations in Quantum Mechanics.- Symmetry in Quantum Mechanics.- System of
Identical Particles.- Occupation Number Representation.- Stationary State
Perturbation Theory.
Prof. Tapan Kumar Das received his Ph.D. in 1971 from the University of Pennsylvania (Philadelphia, USA) after finishing his M.Sc. from the University of Calcutta (India) in 1965, He then did his post-doctoral research at the Technische Universität München (Munich, Germany) for a year, before joining (on invitation) the Universidade Federal de Pernambuco (Recife, Brazil) in 1973 as Professor Titular. He taught mathematical methods, quantum mechanics, and nuclear physics to graduate students, besides doing research in nuclear physics and few-body systems. In 1977, he joined the University of Burdwan (WB, India). He moved to the University of Calcutta (India) in 1990, where he served until his retirement, followed by the Emeritus Fellowship.
