Mathematical Structures of Quantum Mechanics (Paperback)

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)

這本精彩的書旨在加強學生在學習量子力學之前的數學基礎，並提升他們的數學工具。在這本書中，我們使用Hilbert空間和Hermitian運算子的q表示法來實現量子公設的抽象構造，以展示傳統的量子理論方法。

本書強調並廣泛探討了連續變換和離散變換中的對稱性質。我們深入討論了時空結構，並通過洛倫茲群的對稱性考慮來制定了狄拉克方程。

目錄：

* 量子力學的公設和原則
* 空間-時間平移、量子動力學和量子力學中的各種表示
* 對稱性、變換和連續群
* 角動量
* 洛倫茲變換、O(3,1)/SL(2,C)群和狄拉克方程

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