Quantum Mechanics

Advanced Tools and Approximation Methods

Tapan Kumar Das (Autor)

Buch | Hardcover

428 Seiten

2026
Springer Verlag, Singapore
978-981-95-4545-2 (ISBN)

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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.

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.

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.

Erscheinungsdatum	29.11.2025
Reihe/Serie	UNITEXT for Physics
Zusatzinfo	32 Illustrations, black and white
Verlagsort	Singapore
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
Schlagworte	Angular momentum • Clebsch-Gordan coefficients • Eigen Value Equations • Magnetic moment • Pauli matrices • perturbation theory • simple harmonic oscillator • Spherical Harmonics • Stern-Gerlach experiment • Symmetry in Quantum Mechanics • Tensor Operators • WKB method
ISBN-10	981-95-4545-5 / 9819545455
ISBN-13	978-981-95-4545-2 / 9789819545452
Zustand	Neuware