郑海荣主编的这本《量子力学（英文版）》内容 包括初等量子力学的基本理论、基本构架及解决问题 的基本方法；量子理论在典型题中的应用；简单近似 方法；全同粒子体系的量子理论；量子理论的最新进 展及实际应用举例；动画及模拟练习；问题讨论与练 习。本书可作为高等学校的教材。

Preface前言Part I  The Wave Function and Schr／Sdinger Equation第一部分  波函数及薛定谔方程  Chapter 1 The wave function and Schrodinger equation波函数和 Preface前言Part I The Wave Function and Schr／Sdinger Equation第一部分 波函数及薛定谔方程 Chapter 1 The wave function and Schrodinger equation波函数和薛定谔方程 1.1 The wave-particle duality and matter wave波粒二象性与物质波 1.2 Wave function and its statistical interpretation波函数及其统计解释 1.3 The principle of superposition态叠加原理 1.4 The Schrodinger equation薛定谔方程 Biography人物档案 Essay短文：SchrOdinger cat and EPR paradox薛定谔猫和EPR佯谬 Associated application相关应用：TEM and SEM透射及扫描电子显微镜 Animation and simulation演示与模拟 DiSCUSsion questions讨论问题 Exercises习题 Chapter 2 Time-independent Schr6dinger equation and its application in one dimension定态薛定谔方程及其在一维问题中的应用 2.1 Time-independent Schr6dinger equation and the statmnary state定态薛定谔方程和定态 2.2 The bound state and discrete spectra束缚态与分立谱 2.3 Reflection and transmission，tunneling effect反射与透射，隧穿效应 Biography人物档案 Associated application相关应用：STM扫描隧道显微镜 Animation and simulation演示与模拟 DiSCUSSion questions讨论问题 Exercises习题Part II Physical Observables and Representations第二部分 可观测物理量及表象理论 Chapter 3 Physical observables and representations可观测量及其表示理论 3.1 Observables and operators力学量与算符 3.2 Eigenvalues and eigenvectors of Hermitian operators 厄米算符的本征值与本征矢量 3.3 Representations and their transformations表象理论与表象变换 3.4 The uncertainty principle不确定原理 3.5 Dirac notation and the occupation number representation狄拉克符号与占有数表象 Biography人物档案 Essay短文：Heisenberg and matrix mechanics海森伯与矩阵力学 Animation and simulation演示与模拟 Discussion questions讨论问题 Exercises习题Part III Appl ications of the Schr6dinger Equation in 3D第三部分 薛定谔方程在三维空间中的应用 Chapter 4 A particle in a central field 中心力场中的粒子 4.1 A particle in a central field 中心力场中的粒子 4.2 The radial equation for an electron in the Coulomb potential库仑场中运动电子的径向方程 4.3 The hydrogen atom氢原子 Biography人物档案 Essay短文：Niels Bohr and his theory for the hydrOgen atom波尔和他的氢原子理论 Associated application相关应用：Quantum computer量子计算机 Discussion questions讨论问题 Exercises习题Part IV Approximation Methods第四部分 近似方法 Chapter 5 Perturbation theory微扰理论 5.1 Time-independent perturbation theory定态微扰理论 5.2 Time-dependent perturbation theory含时微扰理论 5.3 The adiabatic theorem绝热理论 Biography人物档案 Essay短文：Berry phase Berry相位 Associated application相关应用：Laser激光 Animation and simulation演示与模拟 Discussion questions讨论问题 Exercises习题Part V Spin and Identical Particle System第五部分 自旋和全同多粒子体系 Chapter 6 Spin and Identical Particle System自旋和全同粒子体系 6.1 The Stern-Gerlach experiment and its interpretation斯特恩-格拉赫实验及其解释 6.2 The description of spin 自旋的描述 6.3 The SchrOdinger equation of charged particles in an external electromagnetic field带电粒子在外电磁场中的薛定谔方程 6.4 Total angular momentum总角动量 6.5 Fine structure of alkali atoms碱金属原子的精细结构 6.6 The Zeeman effect塞曼效应 6.7 Characteristics of identical particles全同粒子的特征 6.8 The wave function for a system of identical particles全同粒子体系的波函数 6.9 WaVe functions for two-electron system两电子体系的波函数 6.10 The helium atom氦原子 Biography人物档案 Essay短文：Quantum entanglement and Bell theorem量子纠缠与Bell定理 Associated application相关应用：Bose-Einstein condensation玻色-爱因斯坦凝聚 Animation and simulation演示与模拟 Discussion questions讨论问题 Exercises习题References参考文献Appendices附录Index索引

　　Part I The Wave Function and Schrodinger Equation
　　第一部分波函数及薛定谔方程
　　Chapter 1 The wave function and Schrodinger equation
　　波函数和薛定谔方程
　　The wave-particle duality and matter wave
　　波粒二象性与物质波
　　Particles and waves are two distinct entities in classical physics. As we have learned from both text books and daily experiences,a particle is a localized bundle of energy and momentum. At any tnstant, it can be described by state parameters,such as position q and momentum p (or velocity v if the mass is a constant). The parameters q and p evolve \n time according to some equations of motion,such as Newton’s law F = dp /dt. Given the tnitial values q (tz) and p (t ) at time tt, the position q (t) and momentum pit) at any time t can be deduced from the equations of motion. In contrast to the particle, a wave is considered as a periodic disturbance spread over space. It usually appears as some kind of periodic movement transferring energy from one point to another. A wave satisfies the superposition rules and presents jnterference and diffraction phenomena.
　　1.1.1 The wave-particle duality of light 光的波粒二象性
　　In the 17lh century, two competing theories of light were proposed during the debate about the nature of light: one was offered by Christian Huygens and the other by Isaac Newton. According to the theories,light was thought either to consist of waves (Huygens) or of corpuscles/particles (Newton). Huygens proposed that each point on a light wave front acted as a spherical point source
　　for the progressing wave. Newton’s argument satisfactorily and more simply
　　explained geometric optics and did not presume a medium for particle travel.At the beginning of 1 9lh century (801?1805),Thomas Young conducted the famous double-slit experiment showing that light from two slits interfere to produce a fringe pattern on a screen,a phenomenon that cannot be described by classical particles. In 1909?Geoffrey Ingram Taylor conducted an experiment that showed the interference phenomena by individual photons. The double-slit experiment has been repeated in many ways over the years and has become a standard demonstration of wave-like motion. But neither Newton nor Young were quite convincing about the nature of light. Light could not be described purely as a wave or as consisting of particles.
　　In 1900, Max Planck postulated that the energy of oscillators in a black body is an integer multiple of hv,where h is the Planck constant and v is the frequency of the oscillator. The problem was that the wave nature of light was widely accepted at that time,the concept have been completely formulated in Maxwell’s theory and confirmed by interference and diffraction experiments. After Planck’s quanta hypothesis, Albert Einstein postulated the concept of the photon to explain the photoelectric effect in 1 905, which also was used later to explain Compton scattering. According to Einstein’s assumption, electromagnetic radiation of frequency v consists of discrete units (quanta) of energy hv. That is, electromagnetic energy itself is quantized,and a single quantum is called photon.
　　Thus, mater can absorb energy from a monochromatic beam of light of
　　frequency v only in units of hv because the light arrives in the form of discrete quanta, each with energy hv. Einstein had re-introduced the problem of wave- particle duality for light! The relation between the light wave (v,A ) and the light photon (e,_p)is presented by the equations
　　where h is the Planck constant. Eqs (1.1.1) and (1.1.2) are called the Planck- Einstein relations,which reflect the wave-particle duality of light.
　　1.1.2 Matter wave and the wave -particle duality of matter 物质波及物质的波粒二象性
　　If the light could sometimes behave like particles, then should matter
　　particles also show wave-like behavior? Upon examining Einstein’s idea of the parallelism between the light and matter,Louis de Broglie in 1 924 proposed that
　　electrons,which generally are believed to be particles, should exhibit wave-like behavior. The wavelength and frequency of a quantum mechanical particle are associated with its momentum and energy by de Broglie’s hypothesis
　　Where e and p are the energy and momentum of the particle,and v represents the frequency. The wavelength of the matter wave associated with the particle, A, is also called de Broglie wavelength. In the case of non-relativistic theory,the de Broglie wavelength for a free particle with mass m and energy e is
　　The wave nature of an electron and de Broglie’s hypothesis have been experimentally confirmed by electron diffraction experiments by G. P. Thompson, and C. Davisson & L. Germer. In short, any matter must be considered as having both the particle-like and wave -like properties.
　　You may want to argue that common sense tells us that billiard balls and ping-pong balls travel along definite trajectories and do not show any wave-like properties! The point is that the wave nature of matter is not apparent for macroscopic phenomena since Planck’s constant h is so small. For example, s

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