Quantum Mechanics : Theory and Experiment (Hardcover)
暫譯: 量子力學:理論與實驗(精裝版)
Mark Beck
- 出版商: Oxford University
- 出版日期: 2012-05-31
- 售價: $6,960
- 貴賓價: 9.5 折 $6,612
- 語言: 英文
- 頁數: 528
- 裝訂: Hardcover
- ISBN: 0199798125
- ISBN-13: 9780199798124
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相關分類:
量子 Quantum
海外代購書籍(需單獨結帳)
商品描述
This textbook presents quantum mechanics at the junior/senior undergraduate level. It is unique in that it describes not only quantum theory, but also presents five laboratories that explore truly modern aspects of quantum mechanics. These laboratories include "proving" that light contains photons, single-photon interference, and tests of local realism.
The text begins by presenting the classical theory of polarization, moving on to describe the quantum theory of polarization. Analogies between the two theories minimize conceptual difficulties that students typically have when first presented with quantum mechanics. Furthermore, because the laboratories involve studying photons, using photon polarization as a prototypical quantum system allows the laboratory work to be closely integrated with the coursework.
Polarization represents a two-dimensional quantum system, so the introduction to quantum mechanics uses two-dimensional state vectors and operators. This allows students to become comfortable with the mathematics of a relatively simple system, before moving on to more complicated systems. After describing polarization, the text goes on to describe spin systems, time evolution, continuous variable systems (particle in a box, harmonic oscillator, hydrogen atom, etc.), and perturbation theory.
The book also includes chapters which describe material that is frequently absent from undergraduate texts: quantum measurement, entanglement, quantum field theory and quantum information. This material is connected not only to the laboratories described in the text, but also to other recent experiments. Other subjects covered that do not often make their way into undergraduate texts are coherence, complementarity, mixed states, the density operator and coherent states.
Supplementary material includes further details about implementing the laboratories, including parts lists and software for running the experiments. Computer simulations of some of the experiments are available as well. A solutions manual for end-of-chapter problems is available to instructors.
Features
* The only quantum mechanics text tto include laboratories that can be performed by undergraduates
* Describes quantum mechanics by starting with photon polarization as a prototypical two-dimensional quantum system, which allows for integration of the the text and laboratories
* Includes chapters which discuss quantum measurement, entanglement, quantum field theory, and quantum information
Table Of Contents
Preface
Table of Symbols
1 Mathematical Preliminaries
2 Classical Description of Polarization
3 Quantum States
4 Operators
5 Measurement
6 Spin-1/2
7 Angular Momentum and Rotation
8 Two-Particle Systems and Entanglement
9 Time Evolution and the Schrodinger Equation
10 Position and Momentum
11 Wave Mechanics and the Schrodinger Equation
12 The Harmonic Oscillator
13 Wave Mechanics in Three Dimensions
14 Time-Independent Perturbation Theory
15 Time-Dependent Perturbation Theory
16 Quantum Fields
17 Quantum Information
Laboratories
Getting Started
Before Lab
Important Laboratory Safety Tips
Lab 1: Spontaneous Parametric Downconversion
Lab 2: 'Proof' of the Existence of Photons
Lab 3: Single Photon Interference
Lab 4: Quantum State Measurement
Lab 5: Testing Local Realism
商品描述(中文翻譯)
這本教科書介紹了大學三年級/四年級的量子力學。它的獨特之處在於,不僅描述了量子理論,還提供了五個實驗室,探索量子力學的真正現代面向。這些實驗室包括「證明」光包含光子、單光子干涉以及局部現實性的測試。
文本首先介紹了經典的偏振理論,接著描述了偏振的量子理論。這兩種理論之間的類比最小化了學生在首次接觸量子力學時通常會遇到的概念困難。此外,由於實驗室涉及研究光子,使用光子偏振作為典型的量子系統,使得實驗室工作能夠與課程內容緊密結合。
偏振代表了一個二維的量子系統,因此量子力學的介紹使用了二維狀態向量和算符。這使學生能夠在進入更複雜的系統之前,先熟悉相對簡單系統的數學。在描述完偏振後,文本接著描述自旋系統、時間演化、連續變量系統(如盒子中的粒子、諧振子、氫原子等)以及微擾理論。
本書還包括一些在本科教科書中經常缺失的章節:量子測量、糾纏、量子場論和量子信息。這些材料不僅與文本中描述的實驗室相關,還與其他最近的實驗相連接。其他不常出現在本科教科書中的主題包括相干性、互補性、混合態、密度算符和相干態。
補充材料包括有關實驗室實施的進一步細節,包括零件清單和運行實驗所需的軟體。一些實驗的計算機模擬也可用。針對每章結尾問題的解答手冊可供教師使用。
特色
* 唯一包含本科生可執行實驗室的量子力學教科書
* 以光子偏振作為典型的二維量子系統開始描述量子力學,實現文本與實驗室的整合
* 包含討論量子測量、糾纏、量子場論和量子信息的章節
目錄
前言
符號表
1 數學初步
2 偏振的經典描述
3 量子態
4 算符
5 測量
6 自旋-1/2
7 角動量與旋轉
8 兩粒子系統與糾纏
9 時間演化與薛丁格方程
10 位置與動量
11 波動力學與薛丁格方程
12 諧振子
13 三維波動力學
14 時間獨立微擾理論
15 時間依賴微擾理論
16 量子場
17 量子信息
實驗室
開始之前
實驗前
重要的實驗室安全提示
實驗1:自發參數下轉換
實驗2:光子存在的「證明」
實驗3:單光子干涉
實驗4:量子態測量
實驗5:測試局部現實性