本書主要講解量子力學基本原理在現(xiàn)代原子物理學中的應用。在新版中，作者增添了理論原子物理領域的最新進展，介紹了目前大家非常感興趣的議題，包括半經典周期軌道理論、外場中原子的標度性質、雙電子原子的經典和量子動力學以及原子氣體的玻色－愛因斯坦凝聚等。本書還簡明介紹了原子光學中若干前沿研究，這是目前和未來超冷原子實驗必不可少的知識。作者強調基本理論的解釋，使讀者能夠理解標準理論結構里蘊藏的豐富物理思想，從而可以獨立進行科學研究工作。此外，形式各異的習題及其完整的解答過程為本書添色不少。本書被選為德國Springer出版社的“高等物理學教材”，這是一套非常優(yōu)秀的教材。目次：量子力學概要；原子和離子；原子光譜；簡單反應；專題；附錄：特殊數(shù)學函數(shù)；習題答案；索引。
原子物理是物理學中最具有活力的前沿領域之一，它在推動人們對自然界的認知方面發(fā)揮了重要作用。在過去幾年里，該領域及相關領域因原子激光冷卻（1997年）、玻色-愛因斯坦凝聚的實現(xiàn)（2001年）以及光的量子相干性與精密光譜學的發(fā)展（2005年）三次摘取諾貝爾物理學獎桂冠。讀者對象：理論物理、原子分子物理和物理化學等專業(yè)的高年級本科生、研究生和相關領域的科研人員。
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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