理论原子物理学 英文 原书第3版【2025|PDF|Epub|mobi|kindle电子书版本百度云盘下载】

理论原子物理学 英文 原书第3版PDF格式电子书版下载

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1 Review of Quantum Mechanics1

1.1 Wave Functions and Equations of Motion1

1.1.1 States and Wave Functions1

1.1.2 Linear Operators and Observables3

1.1.3 The Hamiltonian and Equations of Motion7

1.2 Symmetries9

1.2.1 Constants of Motion and Symmetries9

1.2.2 The Radial Schr？dinger Equation12

1.2.3 Example:The Radially Symmetric Harmonic Oscillator14

1.3 Bound States and Unbound States16

1.3.1 Bound States16

1.3.2 Unbound States19

1.3.3 Examples23

1.3.4 Normalization of Unbound States28

1.4 Processes Involving Unbound States30

1.4.1 Wave Packets30

1.4.2 Transmission and Reflection33

1.4.3 Time Delays and Space Shifts35

1.5 Resonances and Channels40

1.5.1 Channels41

1.5.2 Feshbach Resonances43

1.5.3 Potential Resonances48

1.6 Methods of Approximation50

1.6.1 Time-independent Perturbation Theory50

1.6.2 Ritz's Variational Method54

1.6.3 Semiclassical Approximation57

1.6.4 Inverse Power-Law Potentials67

1.7 Angular Momentum and Spin72

1.7.1 Addition of Angular Momenta74

1.7.2 Spin75

1.7.3 Spin-Orbit Coupling77

Problems79

References83

2 Atoms and Ions85

2.1 One-Electron Systems85

2.1.1 The Hydrogen Atom85

2.1.2 Hydrogenic Ions87

2.1.3 The Dirac Equation88

2.1.4 Relativistic Corrections to the Schr？dinger Equation93

2.2 Many-Electron Systems95

2.2.1 The Hamiltonian95

2.2.2 Pauli Principle and Slater Determinants96

2.2.3 The Shell Structure of Atoms100

2.2.4 Classification of Atomic Levels103

2.3 The N-Electron Problem107

2.3.1 The Hartree-Fock Method107

2.3.2 Correlations and Configuration Interaction112

2.3.3 The Thomas-Fermi Model115

2.3.4 Density Functional Methods118

2.4 Electromagnetic Transitions120

2.4.1 Transitions in General,"Golden Rule"121

2.4.2 The Electromagnetic Field124

2.4.3 Interaction Between Atom and Field129

2.4.4 Emission and Absorption of Photons130

2.4.5 Selection Rules135

2.4.6 Oscillator Strengths,Sum Rules138

Problems140

References142

3 Atomic Spectra145

3.1 Long-Ranged and Shorter-Ranged Potentials146

3.1.1 Very-Long-Ranged Potentials146

3.1.2 Shorter-Ranged Potentials147

3.1.3 The Transition From a Finite Number to Infinitely Many Bound States,Inverse-Square Tails152

3.1.4 Example:Truncated Dipole Series in the H- Ion158

3.2 One Electron in a Modified Coulomb Potential164

3.2.1 Rydberg Series,Quantum Defects164

3.2.2 Seaton's Theorem,One-Channel Quantum Defect Theory171

3.2.3 Photoabsorption und Photoionization172

3.3 Coupled Channels177

3.3.1 Close-Coupling Equations177

3.3.2 Autoionizing Resonances181

3.3.3 Configuration Interaction,Interference of Resonances186

3.3.4 Perturbed Rydberg Series191

3.4 Multichannel Quantum Defect Theory(MQDT)193

3.4.1 Two Coupled Coulomb Channels193

3.4.2 The Lu-Fano Plot200

3.4.3 More Than Two Channels203

3.5 Atoms in External Fields211

3.5.1 Atoms in a Static,Homogeneous Electric Field212

3.5.2 Atoms in a Static,Homogeneous Magnetic Field219

3.5.3 Atoms in an Oscillating Electric Field232

Problems235

References239

4 Simple Reactions243

4.1 Elastic Scattering243

4.1.1 Elastic Scattering by a Shorter-Ranged Potential243

4.1.2 Mean Scattering Lengths254

4.1.3 Near-Threshold Feshbach Resonances257

4.1.4 Semiclassical Description of Elastic Scattering259

4.1.5 Elastic Scattering by a Pure Coulomb Potential265

4.1.6 Elastic Scattering by a Modified Coulomb Potential,DWBA268

4.1.7 Feshbach Projection.Optical Potential271

4.2 Spin and Polarization273

4.2.1 Consequences of Spin-Orbit Coupling273

4.2.2 Application to General Pure Spin States276

4.2.3 Application to Mixed Spin States279

4.3 Inelastic Scattering281

4.3.1 General Formulation281

4.3.2 Coupled Radial Equations287

4.3.3 Threshold Effects292

4.3.4 An Example295

4.4 Exit Channels with Two Unbound Electrons298

4.4.1 General Formulation298

4.4.2 Application to Electrons305

4.4.3 Example309

4.4.4 Threshold Behaviour of Ionization Cross Sections313

Problems317

References321

5 Special Topics325

5.1 Multiphoton Absorption326

5.1.1 Experimental Observations on Multiphoton Ionization326

5.1.2 Calculating Ionization Probabilities via Volkov States330

5.1.3 Calculating Ionization Probabilities via Floquet States333

5.2 Classical Trajectories and Wave Packets336

5.2.1 Phase Space Densities337

5.2.2 Coherent States341

5.2.3 Coherent Wave Packets in Real Systems347

5.3 Regular and Chaotic Dynamics in Atoms351

5.3.1 Chaos in Classical Mechanics351

5.3.2 Traces of Chaos in Quantum Mechanics356

5.3.3 Semiclassical Periodic Orbit Theory363

5.3.4 Scaling Properties for Atoms in External Fields368

5.3.5 Examples378

5.4 Bose-Einstein Condensation in Atomic Gases392

5.4.1 Quantum Statistics of Fermions and Bosons392

5.4.2 The Effect of Interactions in Bose-Einstein Condensates396

5.4.3 Realization of Bose-Einstein Condensation in Atomic Gases400

5.5 Some Aspects of Atom Optics402

5.5.1 Atom-Wall Interactions404

5.5.2 Evanescent-Wave Mirrors411

5.5.3 Quantum Reflection416

Problems428

References431

A Special Mathematical Functions439

A.1 Legendre Polynomials,Spherical Harmonics439

A.2 Laguerre Polynomials441

A.3 Gamma Function442

A.4 Bessel Functions443

A.5 Whittaker Functions,Coulomb Functions446

References447

Solutions to the Problems449

References495

Index497