Mathematical Structures of Quantum Mechanics (Paperback)
暫譯: 量子力學的數學結構 (平裝本)

Kow Lung Chang

Mathematical Structures of Quantum Mechanics (Paperback)
  • 出版商: World Scientific Pub
  • 出版日期: 2012-01-15
  • 售價: $1,150
  • 貴賓價: 9.8 折 $1,127
  • 語言: 英文
  • 頁數: 196
  • 裝訂: Hardcover
  • ISBN: 9814366587
  • ISBN-13: 9789814366588
  • 相關分類: 量子 Quantum

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商品描述

<內容簡介>

This marvelous book is aimed at strengthening the mathematical background and sharpening the mathematical tools of students without rigorous training before taking the quantum mechanics course. The abstract construction of quantum postulates in the framework of Hilbert space and Hermitian operators are realized by q-representation in the formulation to demonstrate the conventional approach to quantum theory.

Symmetry property is emphasized and extensively explored in this book both in continuous transformations as well as in the discrete ones. The space-time structure is discussed in depth and Dirac equation is formulated by symmetry consideration of Lorentz group.

Table Of Contents:

* Postulates and Principles of Quantum Mechanics
* Space-Time Translation, Quantum Dynamics and Various Representations in Quantum Mechanics
* Symmetry, Transformation and Continuous Groups
* Angular Momentum
* Lorentz Transformation, O(3,1)/SL(2,C) Group and the Dirac Equation

商品描述(中文翻譯)

內容簡介
這本精彩的書籍旨在加強學生的數學背景，並提升他們的數學工具，特別是那些在修習量子力學課程之前沒有接受過嚴格訓練的學生。量子公設的抽象建構在希爾伯特空間和厄米運算子的框架中，透過 q-表示法來實現，並展示了量子理論的傳統方法。

本書強調對稱性質，並在連續變換和離散變換中進行了廣泛的探討。時空結構被深入討論，並透過洛倫茲群的對稱考量來公式化狄拉克方程。

目錄：
* 量子力學的公設與原則
* 時空平移、量子動力學及量子力學中的各種表示法
* 對稱性、變換與連續群
* 角動量
* 洛倫茲變換、O(3,1)/SL(2,C) 群與狄拉克方程

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