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1 A Short Introduction to Laser Physics |
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3 | (16) |
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1.1 The Einstein Coefficients |
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3 | (3) |
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1.2 Fundamentals of the Laser |
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6 | (4) |
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1.2.1 Elementary Laser Theory |
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6 | (2) |
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1.2.2 Realization of the Laser Principle |
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8 | (2) |
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10 | (5) |
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10 | (2) |
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1.3.2 Carrier Envelope Phase |
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12 | (2) |
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1.3.3 Husimi Representation of Laser Pulses |
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14 | (1) |
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1.4 Notes and Further Reading |
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15 | (4) |
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1.A Some Gaussian Integrals |
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16 | (1) |
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16 | (3) |
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2 Time-Dependent Quantum Theory |
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19 | (68) |
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2.1 The Time-Dependent Schrodinger Equation |
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19 | (16) |
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20 | (3) |
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2.1.2 Time-Evolution Operator |
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23 | (4) |
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2.1.3 Spectral Information |
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27 | (2) |
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2.1.4 Analytical Solutions for Wavepackets |
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29 | (6) |
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2.2 Analytical Approaches to Solve the TDSE |
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35 | (19) |
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2.2.1 Feynman's Path Integral |
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35 | (3) |
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2.2.2 Stationary Phase Approximation |
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38 | (1) |
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2.2.3 Semiclassical Approximation |
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39 | (4) |
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2.2.4 Pictures of Quantum Mechanics and Time-Dependent Perturbation Theory |
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43 | (3) |
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46 | (1) |
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2.2.6 Time-Dependent Hartree Method |
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47 | (1) |
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2.2.7 Quantum-Classical Methods |
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48 | (3) |
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51 | (3) |
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54 | (20) |
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2.3.1 Orthogonal Basis Expansion |
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54 | (5) |
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2.3.2 Split-Operator Method |
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59 | (4) |
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2.3.3 Alternative Methods of Time-Evolution |
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63 | (2) |
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2.3.4 Semiclassical Initial Value Representations |
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65 | (9) |
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2.4 Notes and Further Reading |
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74 | (13) |
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2.A The Royal Road to the Path Integral |
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76 | (1) |
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77 | (2) |
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79 | (2) |
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2.D From the HK-to the VVG-Propagator |
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81 | (1) |
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82 | (5) |
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3 Field-Matter Coupling and Two-Level Systems |
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87 | (26) |
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3.1 Light-Matter Interaction |
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87 | (10) |
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88 | (2) |
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3.1.2 Dipole Approximation and Length Gauge |
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90 | (2) |
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3.1.3 Kramers-Henneberger Transformation |
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92 | (2) |
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3.1.4 Volkov Wavepacket and Ponderomotive Energy |
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94 | (3) |
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3.2 Analytically Solvable Two-Level Problems |
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97 | (8) |
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3.2.1 Dipole Matrix Element |
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97 | (1) |
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3.2.2 Rabi Oscillations Induced by a Constant Perturbation |
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98 | (2) |
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3.2.3 Time-Dependent Perturbations and Rotating Wave Approximation |
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100 | (3) |
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3.2.4 Exactly Solvable Time-Dependent Cases |
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103 | (2) |
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3.3 Notes and Further Reading |
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105 | (8) |
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3.A Generalized Parity Transformation |
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106 | (1) |
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3.B Pauli Spin Matrices and the Two-Level Density Matrix |
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107 | (2) |
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3.C Two-Level System in an Incoherent Field |
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109 | (2) |
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111 | (2) |
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4 Atoms in Strong Laser Fields |
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113 | (60) |
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113 | (5) |
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4.1.1 Hydrogen in 3 Dimensions |
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114 | (2) |
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4.1.2 The One-Dimensional Coulomb Problem |
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116 | (2) |
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118 | (4) |
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4.2.1 Hamiltonian and TISE |
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118 | (1) |
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4.2.2 Spin and the Pauli Principle |
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119 | (2) |
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4.2.3 Semiclassical Determination of Helium Spectra |
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121 | (1) |
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4.3 Field-Induced Ionization |
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122 | (21) |
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4.3.1 Tunneling Ionization |
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122 | (1) |
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4.3.2 Multi-Photon Ionization |
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123 | (5) |
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4.3.3 Keldysh Parameter and Strong-Field Approximation |
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128 | (2) |
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4.3.4 ATI in the Coulomb Potential |
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130 | (4) |
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4.3.5 Stabilization in Very Strong Fields |
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134 | (2) |
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4.3.6 Atoms Driven by Half-Cycle Pulses |
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136 | (7) |
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143 | (9) |
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4.4.1 Three-Step Model and ATI Rings |
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143 | (3) |
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4.4.2 Low-Energy Structure |
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146 | (3) |
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4.4.3 Double Ionization of Helium |
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149 | (3) |
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4.5 High-Order Harmonic Generation |
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152 | (14) |
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4.5.1 Three-Step Model of HHG |
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153 | (3) |
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156 | (1) |
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157 | (1) |
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4.5.4 Semiclassical Explanation of the Plateau |
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157 | (2) |
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4.5.5 Cutoff and Odd Harmonics Revisited |
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159 | (5) |
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4.5.6 Dominant Interaction Hamiltonian for HHG |
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164 | (2) |
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4.6 Notes and Further Reading |
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166 | (7) |
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168 | (2) |
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170 | (3) |
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5 Molecules in Strong Laser Fields |
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173 | (86) |
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5.1 The Molecular Ion H2+ |
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173 | (8) |
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5.1.1 Electronic Potential Energy Surfaces |
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174 | (5) |
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5.1.2 The Morse Potential |
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179 | (2) |
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181 | (10) |
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182 | (4) |
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186 | (5) |
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5.3 Adiabatic and Nonadiabatic Nuclear Dynamics |
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191 | (19) |
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5.3.1 Born-Oppenheimer Approximation |
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192 | (6) |
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5.3.2 Dissociation in a Morse Potential |
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198 | (3) |
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5.3.3 Coupled Potential Energy Surfaces |
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201 | (9) |
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5.4 Femtosecond Pump-Probe Spectroscopy |
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210 | (13) |
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211 | (3) |
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5.4.2 Pump-Probe Photoelectron Spectroscopy of Nai |
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214 | (6) |
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5.4.3 Fluorescence Spectroscopy of ICN |
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220 | (3) |
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5.5 Control of Molecular Dynamics |
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223 | (21) |
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5.5.1 Control of Tunneling |
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224 | (7) |
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5.5.2 Control of Population Transfer |
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231 | (3) |
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5.5.3 Optimal Control Theory |
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234 | (6) |
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240 | (2) |
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5.5.5 Towards Quantum Computing with Molecules |
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242 | (2) |
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5.6 Notes and Further Reading |
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244 | (15) |
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5.A Relative and Center of Mass Coordinates for H2+ |
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247 | (1) |
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5.B Perturbation Theory for Two Coupled Surfaces |
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248 | (1) |
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5.C Reflection Principle of Photodissociation |
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249 | (1) |
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5.D The Undriven Double-Well Problem |
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250 | (2) |
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5.E The Quantum Mechanical Adiabatic Theorem |
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252 | (1) |
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253 | (6) |
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259 | (52) |
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6.1 Solutions to Problems in Chap. 1 |
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259 | (3) |
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6.2 Solutions to Problems in Chap. 2 |
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262 | (17) |
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6.3 Solutions to Problems in Chap. 3 |
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279 | (10) |
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6.4 Solutions to Problems in Chap. 4 |
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289 | (7) |
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6.5 Solutions to Problems in Chap. 5 |
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296 | (15) |
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310 | (1) |
Index |
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311 | |