Quantum Mechanics: Axiomatic Approach and Understanding Through Mathematics (UNITEXT for Physics) - Softcover

Das, Tapan Kumar

 
9789819904969: Quantum Mechanics: Axiomatic Approach and Understanding Through Mathematics (UNITEXT for Physics)
Softcover
ISBN 10: 981990496X ISBN 13: 9789819904969
Verlag: Springer, 2024

Inhaltsangabe

This book provides a clear understanding of quantum mechanics (QM) by developing it from fundamental postulates in an axiomatic manner, as its central theme. The target audience is physics students at master’s level. It avoids historical developments, which are piecemeal, not logically well knitted, and may lead to misconceptions. Instead, in the present approach all of QM and all its rules are developed logically starting from the fundamental postulates only and no other assumptions.
Specially noteworthy topics have been developed in a smooth contiguous fashion following the central theme. They provide a new approach to understanding QM. In most other texts, these are presented as disjoint separate topics. Since the reader may not be acquainted with advanced mathematical topics like linear vector space, a number of such topics have been presented as “mathematical preliminary.” Standard topics, viz. derivation of uncertainty relations, simple harmonic oscillator by operator method,bound systems in one and three dimensions, angular momentum, hydrogen-like atom, and scattering in one and three dimensions, are woven into the central theme.
Advanced topics like approximation methods, spin and generalized angular momenta, addition of angular momenta, and relativistic quantum mechanics have been reserved for Volume II. ​

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Über die Autorin bzw. den Autor

After finishing his M.Sc. from the University of Calcutta (India) in 1965, Prof. Tapan Kumar Das received his Ph.D. in 1971 from the University of Pennsylvania (Philadelphia, USA). 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).

Von der hinteren Coverseite

This book provides a clear understanding of quantum mechanics (QM) by developing it from fundamental postulates in an axiomatic manner, as its central theme. The target audience is physics students at master’s level. It avoids historical developments, which are piecemeal, not logically well knitted, and may lead to misconceptions. Instead, in the present approach all of QM and all its rules are developed logically starting from the fundamental postulates only and no other assumptions.
Specially noteworthy topics have been developed in a smooth contiguous fashion following the central theme. They provide a new approach to understanding QM. In most other texts, these are presented as disjoint separate topics. Since the reader may not be acquainted with advanced mathematical topics like linear vector space, a number of such topics have been presented as “mathematical preliminary.” Standard topics, viz. derivation of uncertainty relations, simple harmonic oscillator by operator method,bound systems in one and three dimensions, angular momentum, hydrogen-like atom, and scattering in one and three dimensions, are woven into the central theme.
Advanced topics like approximation methods, spin and generalized angular momenta, addition of angular momenta, and relativistic quantum mechanics have been reserved for Volume II. ?

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Verlag
Springer
Erscheinungsdatum
2024
Sprache
Englisch
ISBN 10 
981990496X
ISBN 13 
9789819904969
Einband
Tapa blanda
Anzahl der Seiten
332
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9789819904938: Quantum Mechanics: Axiomatic Approach and Understanding Through Mathematics (UNITEXT for Physics)

Vorgestellte Ausgabe

ISBN 10:  9819904935 ISBN 13:  9789819904938
Verlag: Springer, 2023
Hardcover