Quantum Mechanics in Hilbert Space, 2/e (Paperback)
暫譯: 希爾伯特空間中的量子力學,第二版(平裝本)

Eduard Prugovecki

  • 出版商: Dover Publications
  • 出版日期: 2006-12-01
  • 售價: $1,500
  • 貴賓價: 9.5$1,425
  • 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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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.

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關鍵性的介紹,適合高年級本科生和研究生的函數分析課程。其可讀性和自成體系的形式,即使對於數學背景不深厚的學生來說也能輕鬆理解。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。

本書提供了所有在量子力學書籍中遇到的主要函數分析陳述的嚴謹證明。它填補了專注於物理學和數學的希爾伯特空間理論與非相對論量子力學之間的空白。書中以定義、定理和定理的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。