Theoretical Femtosecond Physics (eBook)

PhD at the University of Augsburg under the supervision of Prof. P. Hänggi in 1992 - Postdoctoral stays at UW, Seattle, WA, USA, Harvard University, Cambridge, MA, USA and at the University of Notre Dame, IN, USA - Habilitation and Venia Legendi at the University of Freiburg in 1998 - Privatdozent at TU Dresden since 2000

Preface 7
Contents 10
Part I Prerequisites 13
1 A Short Introduction to Laser Physics 14
1.1 The Einstein Coe.cients 14
1.2 Fundamentals of the Laser 17
1.3 Pulsed Lasers 21
1.A Some Gaussian Integrals 26
Notes and Further Reading 27
References 27
2 Time-Dependent Quantum Theory 28
2.1 The Time-Dependent Schr¨ odinger Equation 28
2.2 Analytical Approaches 41
2.3 Numerical Methods 59
2.A The Royal Road to the Path Integral 76
2.B Variational Calculus 78
2.C Stability Matrix 80
2.D From the HK- to the VVG-Propagator 82
Notes and Further Reading 83
References 83
Part II Applications 86
3 Field Matter Coupling and Two-Level Systems 87
3.1 Light Matter Interaction 87
3.2 Analytically Solvable Two-Level Problems 93
3.A Generalized Parity Transformation 101
3.B Two-Level System in an Incoherent Field 103
Notes and Further Reading 104
References 105
4 Single Electron Atoms in Strong Laser Fields 106
4.1 The Hydrogen Atom 106
4.2 Field Induced Ionization 110
4.3 High Harmonic Generation 128
4.A More on Atomic Units 140
Notes and Further Reading 141
References 142
5 Molecules in Strong Laser Fields 144
5.1 The Molecular Ion 144
5.2 H+ 2 in a Laser Field 151
in a Laser Field 151
5.3 Adiabatic and Nonadiabatic Nuclear Dynamics 160
5.4 Control of Molecular Dynamics 186
5.A Relative and Center of Mass Coordinates for 209
5.B Perturbation Theory for Two Coupled Surfaces 210
5.C Re.ection Principle of Photodissociation 211
5.D The Undriven Double Well Problem 212
5.E The Quantum Mechanical Adiabatic Theorem 214
Notes and Further Reading 214
References 215
Index 218