理论飞秒物理 强激光场中的原子和分子=THEORETICAL FEMTOSECOND PHYSICS：ATOMS AND MOLECULES IN STRONG LASER FIELDS 影印版2025|PDF|Epub|mobi|kindle电子书版本百度云盘下载

理论飞秒物理 强激光场中的原子和分子=THEORETICAL FEMTOSECOND PHYSICS：ATOMS AND MOLECULES IN STRONG LASER FIELDS 影印版PDF格式电子书版下载

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Part Ⅰ Prerequisites3

1 A Short Introduction to Laser Physics3

1.1 The Einstein Coefficients3

1.2 Fundamentals of the Laser6

1.2.1 Elementary Laser Theory6

1.2.2 Realization of the Laser Principle8

1.3 Pulsed Lasers10

1.3.1 Frequency Comb10

1.3.2 Carrier Envelope Phase12

1.3.3 Husimi Representation of Laser Pulses14

1.A Some Gaussian Integrals15

References16

2 Time-Dependent Quantum Theory17

2.1 The Time-Dependent Schr？dinger Equation17

2.1.1 Introduction18

2.1.2 Time-Evolution Operator20

2.1.3 Spectral Information23

2.1.4 Analytical Solutions for Wavepackets25

2.2 Analytical Approaches30

2.2.1 Feynman's Path Integral30

2.2.2 Semiclassical Approximation35

2.2.3 Time-Dependent Perturbation Theory38

2.2.4 Magnus Expansion40

2.2.5 Time-Dependent Hartree Method42

2.2.6 Quantum-Classical Methods43

2.2.7 Floquet Theory45

2.3 Numerical Methods48

2.3.1 Orthogonal Basis Expansion48

2.3.2 Split-Operator FFT Method52

2.3.3 Alternative Methods of Time-Evolution56

2.3.4 Semiclassical Initial Value Representations58

2.A The Royal Road to the Path Integral65

2.B Variational Calculus67

2.C Stability Matrix69

2.D From the HK- to the VVG-Propagator71

References72

Part Ⅱ Applications77

3 Field Matter. Coupling and Two-Level Systems77

3.1 Light Matter Interaction77

3.1.1 Minimal Coupling77

3.1.2 Length Gauge79

3.1.3 Kramers-Henneberger Transformation81

3.1.4 Volkov Wavepacket82

3.2 Analytically Solvable Two-Level Problems83

3.2.1 Dipole Matrix Element83

3.2.2 Rabi Oscillations Induced by a Constant Perturbation84

3.2.3 Time-Dependent Perturbations86

3.2.4 Exactly Solvable Time-Dependent Cases89

3.A Generalized Parity Transformation91

3.B Two-Level System in an Incoherent Field93

References95

4 Single Electron Atoms in Strong Laser Fields97

4.1 The Hydrogen Atom97

4.1.1 Hydrogen in Three Dimensions98

4.1.2 The One-Dimensional Coulomb Problem99

4.2 Field Induced Ionization101

4.2.1 Tunnel Ionization101

4.2.2 Multiphoton Ionization104

4.2.3 ATI in the Coulomb Potential109

4.2.4 Stabilization in Very Strong Fields111

4.2.5 Atoms Driven by HCP113

4.3 High Harmonic Generation119

4.3.1 Three-Step Model119

4.3.2 Odd Harmonics Rule123

4.3.3 Semiclassical Explanation of the Plateau124

4.3.4 Cutoff and Odd Harmonics Revisited126

4.A More on Atomic Units131

References133

5 Molecules in Strong Laser Fields135

5.1 The Molecular Ion H2+135

5.1.1 Electronic Potential Energy Surfaces135

5.1.2 The Morse Potential140

5.2 H2+ in a Laser Field142

5.2.1 Frozen Nuclei142

5.2.2 Nuclei in Motion147

5.3 Adiabatic and Nonadiabatic Nuclear Dynamics151

5.3.1 Born-Oppenheimer Approximation152

5.3.2 Dissociation in a Morse Potential156

5.3.3 Coupled Potential Surfaces159

5.3.4 Femtosecond Spectroscopy168

5.4 Control of Molecular Dynamics177

5.4.1 Control of Tunneling178

5.4.2 Control of Population Transfer185

5.4.3 Optimal Control Theory189

5.4.4 Genetic Algorithms195

5.4.5 Toward Quantum Computing with Molecules197

5.A Relative and Center of Mass Coordinates for H2+200

5.B Perturbation Theory for Two Coupled Surfaces201

5.C Reflection Principle of Photodissociation202

5.D The Undriven Double Well Problem203

5.E The Quantum Mechanical Adiabatic Theorem205

References206

Index209