Quantum Mechanics: Axiomatic Approach and Understanding Through Mathematics
Das, Tapan Kumar
- 出版商: Springer
- 出版日期: 2023-06-27
- 售價: $3,680
- 貴賓價: 9.5 折 $3,496
- 語言: 英文
- 頁數: 314
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 9819904935
- ISBN-13: 9789819904938
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相關分類:
量子 Quantum
海外代購書籍(需單獨結帳)
相關主題
商品描述
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.
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.
商品描述(中文翻譯)
這本書以公理化的方式從基本原理出發，提供了對量子力學（QM）的清晰理解，並以此作為其核心主題。目標讀者是碩士級的物理學生。它避免了歷史發展，因為這些發展是零散的，不具有邏輯上的結合，可能導致誤解。相反，在這種方法中，所有的QM和其所有規則都是從基本原理出發進行邏輯上的發展，沒有其他假設。
特別值得注意的主題以連貫的方式按照核心主題進行了發展。它們提供了一種理解QM的新方法。在大多數其他教材中，這些主題被呈現為不相關的獨立主題。由於讀者可能不熟悉像線性向量空間這樣的高級數學主題，因此一些這樣的主題被呈現為“數學預備知識”。標準主題，如不確定關係的推導，運算子方法下的簡單谐振子，一維和三維束縛系統，角動量，類氫原子以及一維和三維散射，都被融入到核心主題中。
高級主題，如近似方法，自旋和廣義角動量，角動量的相加，以及相對論量子力學，則保留在第二卷中。
作者簡介
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).
作者簡介(中文翻譯)
1965年，Tapan Kumar Das教授在印度加爾各答大學獲得碩士學位後，於1971年在美國賓夕法尼亞大學獲得博士學位。之後，他在德國慕尼黑的慕尼黑工業大學進行了一年的博士後研究，然後在1973年應邀加入巴西雷西夫德拉聯邦大學擔任教授。他教授研究生數學方法、量子力學和核物理，並從事核物理和少體系統的研究。1977年，他加入了印度布爾德萬大學。
