Quantum Mechanics in Hilbert Space, 2/e (Paperback)
Eduard Prugovecki
- 出版商: Dover Publications
- 出版日期: 2006-12-01
- 售價: $1,490
- 貴賓價: 9.5 折 $1,416
- 語言: 英文
- 頁數: 720
- 裝訂: Paperback
- ISBN: 0486453278
- ISBN-13: 9780486453279
-
相關分類:
量子 Quantum
海外代購書籍(需單獨結帳)
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相關主題
商品描述
A critical presentation of the basic mathematics of nonrelativistic quantum mechanics, this text is suitable for courses in functional analysis at the advanced undergraduate and graduate levels. Its readable and self-contained form is accessible even to students without an extensive mathematical background. Applications of basic theorems to quantum mechanics make it of particular interest to mathematicians working in functional analysis and related areas.
This text features the rigorous proofs of all the main functional-analytic statements encountered in books on quantum mechanics. It fills the gap between strictly physics- and mathematics-oriented texts on Hilbert space theory as applied to nonrelativistic quantum mechanics. Organized in the form of definitions, theorems, and proofs of theorems, it allows readers to immediately grasp the basic concepts and results. Exercises appear throughout the text, with hints and solutions at the end.
This text features the rigorous proofs of all the main functional-analytic statements encountered in books on quantum mechanics. It fills the gap between strictly physics- and mathematics-oriented texts on Hilbert space theory as applied to nonrelativistic quantum mechanics. Organized in the form of definitions, theorems, and proofs of theorems, it allows readers to immediately grasp the basic concepts and results. Exercises appear throughout the text, with hints and solutions at the end.
商品描述(中文翻譯)
這本書對非相對論量子力學的基本數學進行了批判性的介紹，適合高年級本科生和研究生的函數分析課程。其可讀性強且內容自足，即使是數學背景不深的學生也能輕鬆理解。基本定理在量子力學中的應用使其對於從事函數分析及相關領域的數學家特別有吸引力。
本書提供了所有主要的函數分析陳述的嚴謹證明，填補了專注於物理和數學的希爾伯特空間理論在非相對論量子力學應用方面的空白。書中以定義、定理和定理證明的形式組織內容，使讀者能夠立即掌握基本概念和結果。全書中穿插了練習題，並在最後提供提示和解答。
