| Preface | 7 |
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| Contents | 10 |
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| Part I Prerequisites | 13 |
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| 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 |
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| 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 |