本书主要讲解量子力学基本原理在现代原子物理学中的应用。在新版中，作者增添了理论原子物理领域的最新进展，介绍了目前大家非常感兴趣的议题，包括半经典周期轨道理论、外场中原子的标度性质、双电子原子的经典和量子动力学以及原子气体的玻色－爱因斯坦凝聚等。本书还简明介绍了原子光学中若干前沿研究，这是目前和未来超冷原子实验必不可少的知识。作者强调基本理论的解释，使读者能够理解标准理论结构里蕴藏的丰富物理思想，从而可以独立进行科学研究工作。此外，形式各异的习题及其完整的解答过程为本书添色不少。本书被选为德国Springer出版社的“高等物理学教材”，这是一套非常优秀的教材。目次：量子力学概要；原子和离子；原子光谱；简单反应；专题；附录：特殊数学函数；习题答案；索引。
原子物理是物理学中最具有活力的前沿领域之一，它在推动人们对自然界的认知方面发挥了重要作用。在过去几年里，该领域及相关领域因原子激光冷却（1997年）、玻色-爱因斯坦凝聚的实现（2001年）以及光的量子相干性与精密光谱学的发展（2005年）三次摘取诺贝尔物理学奖桂冠。读者对象：理论物理、原子分子物理和物理化学等专业的高年级本科生、研究生和相关领域的科研人员。
1 Review of Quantum Mechanics
1.1 Wave Functions and Equations of Motion
1.1.1 States and Wave Functions
1.1.2 Linear Operators and Observables
1.1.3 The Harniltonian and Equations of Motion
1.2 Symmetries
1.2.1 Constants of Motion and Symmetries
1.2.2 The Radial SchrSdinger Equation
1.2.3 Example: The Radially Symmetric Harmonic Oscillator
1.3 Bound States and Unbound States
1.3.1 Bound States
1.3.2 Unbound States
1.3.3 Examples
1.3.4 Normalization of Unbound States
1.4 Processes Involving Unbound States 1 Review of Quantum Mechanics
1.1 Wave Functions and Equations of Motion
1.1.1 States and Wave Functions
1.1.2 Linear Operators and Observables
1.1.3 The Harniltonian and Equations of Motion
1.2 Symmetries
1.2.1 Constants of Motion and Symmetries
1.2.2 The Radial SchrSdinger Equation
1.2.3 Example: The Radially Symmetric Harmonic Oscillator
1.3 Bound States and Unbound States
1.3.1 Bound States
1.3.2 Unbound States
1.3.3 Examples
1.3.4 Normalization of Unbound States
1.4 Processes Involving Unbound States
1.4.1 Wave Packets
1.4.2 Transmission and Reflection
1.4.3 Time Delays and Space Shifts
1.5 Resonances and Channels
1.5.1 Channels
1.5.2 Feshbach Resonances
1.5.3 Potential Resonances
1.6 Methods of Approximation
1.6.1 Time-independent Perturbation Theory
1.6.2 Ritz's Variational Method
1.6.3 Semiclassical Approximation
1.6.4 Inverse Power-Law Potentials
1.7 Angular Momentum and Spin
1.7.1 Addition of Angular Momenta
1.7.2 Spin
1.7.3 Spin-Orbit Coupling
Problems
References
2 Atoms and Ions
2.1 One-Electron Systems
2.1.1 The Hydrogen Atom
2.1.2 Hydrogenic Ions
2.1.3 The Dirac Equation
2.1.4 Relativistic Corrections to the Schrodinger Equation
2.2 Many-Electron Systems
2.2.1 The Hamiltonian
2.2.2 Pauli Principle and Slater Determinants
2.2.3 The Shell Structure of Atoms
2.2.4 Classification of Atomic Levels
2.3 The N-Electron Problem
2.3.1 The Hartree-Fock Method
2.3.2 Correlations and Configuration Interaction
2.3.3 The Thomas-Fermi Model
2.3.4 Density Functional Methods
2.4 Electromagnetic Transitions
2.4.1 Transitions in General, "Golden Rule"
2.4.2 The Electromagnetic Field
2.4.3 Interaction Between Atom and Field
2.4.4 Emission and Absorption of Photons
2.4.5 Selection Rules
2.4.6 Oscillator Strengths, Sum Rules
Problems
References
3 Atomic Spectra
3.1 Long-Ranged and Shorter-Ranged Potentials
3.1.1 Very-Long-Ranged Potentials
3.1.2 Shorter-Ranged Potentials
3.1.3 The Transition From a Finite Number to Infinitely Many Bound States, Inverse-Square Tails
3.1.4 Example: Truncated Dipole Series in the H- Ion
3.2 One Electron in a Modified Coulomb Potential
3.2.1 Rydberg Series, Quantum Defects
3.2.2 Seaton's Theorem, One-Channel Quantum Defect. Theory
3.2.3 Photoabsorption und Photoionization
3.3 Coupled Channels
3.3.1 Close-Coupling Equations
3.3.2 Autoionizing Resonances
3.3.3 Configuration Interaction, Interference of Resonances
3.3.4 Perturbed Rydberg Series
3.4 Multichannel Quantum Defect Theory （MQDT）
3.4.1 Two Coupled Coulomb Channels
3.4.2 The Lu-Fano Plot
3.4.3 More Than Two Channels
3.5 Atoms in External Fields
3.5.1 Atoms in a Static, Homogeneous Electric Field
3.5.2 Atoms in a Static, Homogeneous Magnetic Field
3.5.3 Atoms in an Oscillating Electric Field
Problems
References
4 Simple Reactions
4.1 Elastic Scattering
4.1.1 Elastic Scattering by a Shorter-Ranged Potential
4.1.2 Mean Scattering Lengths
4.1.3 Near-Threshold Feshbach Resonances
4.1.4 Semiclassical Description of Elastic Scattering
4.1.5 Elastic Scattering by a Pure Coulomb Potential
4.1.6 Elastic Scattering by a Modified Coulomb Potential, DWBA
4.1.7 Feshbach Projection. Optical Potential
4.2 Spin and Polarization
4.2.1 Consequences of Spin-Orbit Coupling
4.2.2 Application to General Pure Spin States
4.2.3 Application to Mixed Spin States
4.3 Inelastic Scattering
4.3.1 General Formulation
4.3.2 Coupled Radial Equations
4.3.3 Threshold Effects
4.3.4 An Example
4.4 Exit Channels with Two Unbound Electrons
4.4.1 General Formulation
4.4.2 Application to Electrons
4.4.3 Example
4.4.4 Threshold Behaviour of Ionization Cross Sections
Problems
References
5 Special Topics
5.1 Multiphoton Absorption
5.1.1 Experimental Observations on Multiphoton Ionization
5.1.2 Calculating Ionization Probabilities via Volkov States
5.1.3 Calculating Ionization Probabilities via Floquet States
5.2 Classical Trajectories and Wave Packets
5.2.1 Phase Space Densities
5.2.2 Coherent States
5.2.3 Coherent Wave Packets in Real Systems
5.3 Regular and Chaotic Dynamics in Atoms
5.3.1 Chaos in Classical Mechanics
5.3.2 Traces of Chaos in Quantum Mechanics
5.3.3 Semiclassical Periodic Orbit Theory
5.3.4 Scaling Properties for Atoms in External Fields
5.3.5 Examples
5.4 Bose-Einstein Condensation in Atomic Gases
5.4.1 Quantum Statistics of Fermions and Bosons
5.4.2 The Effect of Interactions in Bose-Einstein Condensates
5.4.3 Realization of Bose-Einstein Condensation in Atomic Gases
5.5 Some Aspects of Atom Optics
5.5.1 Atom-Wall Interactions
5.5.2 Evanescent-Wave Mirrors
5.5.3 Quantum Reflection
Problems
References
A Special Mathematical Functions
A.1 Legendre Polynomials, Spherical Harmonics
A.2 Laguerre Polynomials
A.3 Gamma Function
A.4 Bessel Functions
A.5 Whittaker Functions, Coulomb Functions
References
Solutions to the Problems
References
Index
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