|
|
xi | |
Preface By The Editors |
|
xiii | |
|
1 Foundations of Time Dependent Quantum Dynamics of Molecules Under Isolation and in Coherent Electromagnetic Fields |
|
|
1 | (42) |
|
|
|
|
1 | (1) |
|
1.2 Foundations of Molecular Quantum Dynamics Between High Energy Physics, Chemistry and Molecular Biology |
|
|
2 | (8) |
|
1.2.1 The Standard Model of Particle Physics (SMPP) as a Theory of Microscopic Matter Including the Low Energy Range of Atomic and Molecular Quantum Dynamics |
|
|
2 | (2) |
|
1.2.2 Classical Mechanics and Quantum Mechanics |
|
|
4 | (2) |
|
1.2.3 Time Evolution Operator Formulation of Quantum Dynamics |
|
|
6 | (2) |
|
1.2.4 Further Approaches to Quantum Mechanics and Molecular Dynamics |
|
|
8 | (1) |
|
1.2.5 Time-Dependent Quantum Statistical Dynamics |
|
|
8 | (2) |
|
1.3 Methods for Solving the Time-Dependent Schrodinger Equation |
|
|
10 | (6) |
|
1.3.1 Spectral Decomposition Method |
|
|
11 | (1) |
|
|
12 | (1) |
|
1.3.3 The "Chebychev" Method |
|
|
13 | (1) |
|
1.3.4 "Short-Iterative" Lanczos Method |
|
|
13 | (1) |
|
1.3.5 "Split-Operator" Technique |
|
|
14 | (1) |
|
1.3.6 The "Multiconfigurational Time-Dependent Hartree" Method |
|
|
15 | (1) |
|
1.3.7 Specific Methods for the Electronic Motion |
|
|
16 | (1) |
|
|
16 | (3) |
|
|
19 | (1) |
|
1.6 Quantum Dynamics Under Excitation With Coherent Monochromatic Radiation |
|
|
20 | (8) |
|
1.6.1 Introductory Remarks |
|
|
20 | (1) |
|
1.6.2 General Aspects of Atomic and Molecular Systems in Electromagnetic Field |
|
|
21 | (2) |
|
1.6.3 Time-Dependent Quantum Dynamics in an Oscillatory Electromagnetic Field |
|
|
23 | (1) |
|
1.6.4 Floquet Solution for Hamiltonians With Strict Periodicity |
|
|
24 | (1) |
|
1.6.5 Weak-Field Quasiresonant Approximation (WF-QRA) for Coherent Monochromatic Excitation |
|
|
24 | (2) |
|
1.6.6 Coherent Monochromatic Excitation Between Two Quantum States |
|
|
26 | (2) |
|
|
28 | (4) |
|
1.7.1 Time-Dependent Quantum Motion, Spectroscopy and Atomic and Molecular Clocks |
|
|
28 | (1) |
|
1.7.2 Hierarchy of Interactions and Hierarchy of Timescales for the Successive Breaking of Approximate Dynamical Symmetries in Intramolecular Primary Processes |
|
|
29 | (3) |
|
|
32 | (1) |
|
|
32 | (11) |
|
2 Exact Numerical Methods for Stationary-State-Based Quantum Dynamics of Complex Polyatomic Molecules |
|
|
43 | (36) |
|
|
|
|
|
43 | (4) |
|
2.2 Molecular Hamiltonians |
|
|
47 | (6) |
|
|
47 | (1) |
|
2.2.2 Formulation of the Classical Hamiltonian in Generalized Internal Coordinates |
|
|
48 | (2) |
|
2.2.3 Formulation of the Quantum-Mechanical Hamiltonian in Generalized Internal Coordinates |
|
|
50 | (1) |
|
2.2.4 Body-Fixed Frame Embeddings |
|
|
50 | (1) |
|
2.2.5 Potential Energy Hypersurfaces |
|
|
51 | (1) |
|
2.2.6 Basis Sets and Representations |
|
|
52 | (1) |
|
2.2.7 Determination of Eigenstates |
|
|
53 | (1) |
|
2.3 Computation of Bound Rovibrational States |
|
|
53 | (6) |
|
2.3.1 On the Variational Solution |
|
|
54 | (2) |
|
2.3.2 Symmetry in Nuclear-Motion Computations |
|
|
56 | (1) |
|
2.3.3 Nuclear Spin Statistics |
|
|
57 | (1) |
|
2.3.4 Wavefunction Analysis Tools Via Projection Techniques |
|
|
58 | (1) |
|
2.4 Computation of Rovibrational Resonances |
|
|
59 | (2) |
|
2.4.1 The Stabilization Method |
|
|
59 | (1) |
|
2.4.2 The Technique of Complex Coordinate Scaling (CCS) |
|
|
60 | (1) |
|
2.4.3 Complex Absorbing Potentials (CAP) |
|
|
60 | (1) |
|
2.4.4 Wavefunction Analysis Tools |
|
|
60 | (1) |
|
|
61 | (4) |
|
2.5.1 Computation of All the Bound (Ro)Vibrational Eigenstates |
|
|
61 | (2) |
|
2.5.2 Rovibrational Computations on Quasistructural Molecules |
|
|
63 | (1) |
|
2.5.3 Computation of Rovibrational Resonances |
|
|
64 | (1) |
|
2.5.4 Stationary-State Computations Serving Dynamical Studies |
|
|
65 | (1) |
|
|
65 | (2) |
|
|
67 | (12) |
|
3 2D Strong-Field Spectroscopy to Elucidate Impulsive and Adiabatic Ultrafast Electronic Control Schemes in Molecules |
|
|
79 | (34) |
|
|
|
|
|
|
79 | (1) |
|
3.2 Control of Coupled Electron-Nuclear Dynamics in the Potassium Molecule |
|
|
80 | (15) |
|
3.2.1 The Model System K2 |
|
|
82 | (1) |
|
3.2.2 Experimental Two-Color Setup |
|
|
83 | (1) |
|
3.2.3 Molecular Dynamics Simulations |
|
|
84 | (1) |
|
3.2.4 Coherent Control of Coupled Electron-Nuclear Dynamics |
|
|
85 | (8) |
|
3.2.5 Summary and Conclusion |
|
|
93 | (2) |
|
3.3 Adiabatic Control Scenarios in Molecules |
|
|
95 | (15) |
|
3.3.1 Chirped Airy Pulses |
|
|
95 | (1) |
|
3.3.2 Adiabatic Control Scenarios |
|
|
96 | (1) |
|
3.3.3 Interaction of Chirped Airy Pulses With Porphyrazine Molecules |
|
|
97 | (1) |
|
3.3.4 Interaction of Chirped Airy Pulses With Potassium Molecules |
|
|
98 | (11) |
|
3.3.5 Conclusion and Outlook |
|
|
109 | (1) |
|
|
110 | (1) |
|
|
110 | (3) |
|
4 Attosecond Molecular Dynamics and Spectroscopy |
|
|
113 | (50) |
|
|
|
|
113 | (2) |
|
4.2 Theoretical Description of Strong-Field Phenomena |
|
|
115 | (5) |
|
4.2.1 Overview of the Basic Terminology |
|
|
115 | (1) |
|
4.2.2 Electric-Dipole Approximation and Gauge Invariance |
|
|
116 | (1) |
|
4.2.3 The Three-Step Model of High-Harmonic Generation |
|
|
117 | (1) |
|
4.2.4 High-Harmonic Generation Within the Strong-Field Approximation |
|
|
118 | (2) |
|
4.3 Attosecond Technology |
|
|
120 | (7) |
|
4.3.1 Chirped-Pulse Amplification |
|
|
120 | (1) |
|
4.3.2 Carrier-Envelope Phase Stabilization |
|
|
121 | (1) |
|
4.3.3 Pulse Postcompression Techniques |
|
|
122 | (1) |
|
4.3.4 Attosecond Sources in the Mid-Infrared |
|
|
122 | (1) |
|
4.3.5 Generation of Isolated Attosecond Pulses |
|
|
123 | (2) |
|
4.3.6 Attosecond Spectroscopic Techniques |
|
|
125 | (2) |
|
4.4 Attosecond Electron/Ion Imaging Spectroscopy |
|
|
127 | (603) |
|
4.5 Attosecond Electron Spectroscopy in Biorelevant Molecules |
|
|
730 | (2) |
|
4.6 High-Harmonic Spectroscopy |
|
|
732 | (6) |
|
4.6.1 Observation of Sub-Fs Nuclear Dynamics Using High-Harmonic Spectroscopy |
|
|
132 | (2) |
|
4.6.2 Observation of Laser-Induced Modification of the Electronic Structure |
|
|
134 | (2) |
|
4.6.3 Measurement and Laser Control of Charge Migration in Ionized lodoacetylene |
|
|
136 | (2) |
|
4.7 Attosecond Time Delays in Molecular Photoionization |
|
|
138 | (1) |
|
4.7.1 Phase-Resolved Near-Threshold Photoionization of Molecular Nitrogen |
|
|
138 | (2) |
|
4.7.2 Attosecond Photoionization Delays in the Nitrous Oxide and Water Molecules |
|
|
140 | (2) |
|
4.7.3 Stereo-Wigner Time Delays in Molecular Photoionization of Carbon Monoxide |
|
|
142 | (2) |
|
4.7.4 Phase-Resolved Two-Color Multiphoton Ionization of Chiral Molecules |
|
|
144 | (4) |
|
4.8 Attosecond Transient Absorption Spectroscopy |
|
|
148 | (5) |
|
4.8.1 Dynamics of Rydberg and Valence States In Molecular Nitrogen Probed by ATAS |
|
|
148 | (3) |
|
4.8.2 Time-Resolved X-Ray Absorption Spectroscopy Using a Table-Top High-Harmonic Source |
|
|
151 | (2) |
|
|
153 | (10) |
|
5 Electronic Decay Cascades in Chemical Environment |
|
|
163 | (36) |
|
|
|
|
|
163 | (2) |
|
5.2 Interatomic Decay Processes |
|
|
165 | (12) |
|
5.2.7 Interatomic Coulombic Decay (ICD) |
|
|
165 | (4) |
|
5.2.2 Electron-Transfer Mediated Decay |
|
|
169 | (2) |
|
5.2.3 Radiative Charge Transfer and Charge Transfer Through Curve Crossing |
|
|
171 | (6) |
|
5.3 Decay Cascades in Weakly Bound Atomic and Molecular Systems |
|
|
177 | (12) |
|
|
171 | (2) |
|
5.3.2 Resonant Auger-ICD Cascades |
|
|
173 | (5) |
|
|
178 | (3) |
|
5.3.4 Electronic Decay Cascades in Microsolvated Clusters |
|
|
181 | (2) |
|
5.3.5 Interatomic Coulombic Decay Cascades in Multiply Excited Clusters |
|
|
183 | (6) |
|
|
189 | (1) |
|
|
190 | (1) |
|
|
190 | (9) |
|
6 Ah Initio Semiclassical Evaluation of Vibrational Resolved Electronic Spectra With Thawed Gaussians |
|
|
199 | (38) |
|
|
|
|
199 | (1) |
|
|
200 | (1) |
|
|
200 | (1) |
|
6.2 Molecular Quantum Dynamics Induced by the Interaction With Electromagnetic Field |
|
|
200 | (2) |
|
6.2.1 Exact Dynamics, Electric Dipole Approximation, and Quasiresonant Condition |
|
|
201 | (1) |
|
6.2.2 Perturbation Theory, Zero-Temperature and Condon Approximations |
|
|
201 | (1) |
|
6.3 Semiclassical Approximation to Quantum Dynamics |
|
|
202 | (2) |
|
6.4 Thawed Gaussian Approximation |
|
|
204 | (3) |
|
6.4.1 Thawed Gaussian Approximation |
|
|
204 | (1) |
|
6.4.2 Parameter Propagation of the Thawed Gaussian Wavepacket |
|
|
205 | (1) |
|
6.4.3 Extended Thawed Gaussian Approximation (ETGA) |
|
|
205 | (1) |
|
6.4.4 Multiple Thawed Gaussians (n-TGA) |
|
|
206 | (1) |
|
6.4.5 (Non)Conservation of Norm, Inner Product, and Energy |
|
|
206 | (1) |
|
6.5 Time-Dependent Approach to Electronic Spectroscopy |
|
|
207 | (4) |
|
6.5.1 Linear Absorption Spectra |
|
|
207 | (1) |
|
6.5.2 Condon Approximation |
|
|
208 | (1) |
|
6.5.3 Connection to Fidelity Amplitude |
|
|
208 | (1) |
|
6.5.4 Herzberg-Teller Approximation |
|
|
209 | (1) |
|
6.5.5 Rotational Averaging of the Spectrum |
|
|
210 | (1) |
|
6.5.6 Time-Resolved Electronic Spectra |
|
|
210 | (1) |
|
6.6 "Standard Models" of Electronic Spectroscopy |
|
|
211 | (3) |
|
6.6.1 Several Few-Dimensional Examples |
|
|
212 | (2) |
|
6.7 On-the-Fly Ab Initio Implementation of the Thawed Gaussian Approximation |
|
|
214 | (1) |
|
6.8 Examples of on-the-Fly Ab Initio Calculations of Electronic Spectra |
|
|
215 | (8) |
|
6.8.1 Absorption and Photoelectron Spectra of Ammonia |
|
|
215 | (2) |
|
6.8.2 Absorption Spectra Beyond Condon Approximation |
|
|
217 | (1) |
|
6.8.3 Emission Spectra of Large Systems: Quinquethiophene |
|
|
218 | (2) |
|
6.8.4 Vibrationally Resolved Pump-Probe Spectra |
|
|
220 | (3) |
|
6.9 Conclusion and Outlook |
|
|
223 | (2) |
|
|
225 | (6) |
|
7 Atomic and Molecular Tunneling Processes in Chemistry |
|
|
231 | (1) |
|
|
|
|
231 | (1) |
|
7.7.7 Aim and Overview of the Article |
|
|
231 | (1) |
|
7.1.2 The Quantum Mechanical Tunneling Process for "Heavy" Particles (Atoms and Molecules): a Tour d `Horizon' |
|
|
231 | (2) |
|
7.1.3 A Brief History of the Discovery of the Tunnel Effect and Further Developments |
|
|
233 | (1) |
|
7.2 Tunneling and Parity Violation in Chiral Molecules |
|
|
234 | (13) |
|
7.2.1 Exact and Approximate Studies of Tunneling in Prototypical Molecules: Hydrogen Peroxide and Ammonia Isotopomers |
|
|
234 | (2) |
|
7.2.2 Tunneling in Chiral Molecules Where Parity Violation Dominates Over Tunneling |
|
|
236 | (5) |
|
7.3 Tunneling Processes in Weakly Bound Complexes |
|
|
241 | (3) |
|
7.4 Tunneling Processes in Slightly Asymmetric Potentials, Tunneling Switching, and the Molecular Quantum Switch |
|
|
244 | (3) |
|
7.5 Isomerization Reactions Which Are Substantially Influenced by Tunneling |
|
|
247 | (8) |
|
7.5.1 A Brief Overview Over Some Recent Studies |
|
|
247 | (2) |
|
7.5.2 Ammonia as a Prototype for the Inversion at Nitrogen and Mode Selective Control of Tunneling Processes |
|
|
249 | (3) |
|
7.5.3 Methyl Group Internal Rotation as a Prototype for Tunneling |
|
|
252 | (3) |
|
7.6 Tunneling in Bimolecular Reactions |
|
|
255 | (5) |
|
7.6.1 Direct Bimolecular Reactions |
|
|
255 | (1) |
|
7.6.2 Bimolecular Reactions With Intermediate Complex Formation |
|
|
256 | (4) |
|
7.7 Tunneling in Ions and in Electronically Excited States |
|
|
260 | (1) |
|
7.8 Tunneling of Molecules Inside a Cage |
|
|
261 | (1) |
|
7.9 Concluding Remarks on Tunneling |
|
|
262 | (2) |
|
|
264 | (1) |
|
|
265 | (18) |
|
8 Ultrafast Femtosecond Dynamics and High-Resolution Spectroscopy of Molecular Cations |
|
|
283 | (18) |
|
|
|
|
|
283 | (1) |
|
8.2 Ultrafast Hydrogen Migration in Methanol Cation |
|
|
284 | (2) |
|
8.3 Periodical Emission of H from Methanol |
|
|
286 | (3) |
|
8.4 Strong Field Vibrational Spectroscopy of Methanol Cation and Its Isotopologues |
|
|
289 | (4) |
|
8.5 High-Resolution Rovibrational Spectroscopy of D2 and D1 |
|
|
293 | (5) |
|
|
298 | (1) |
|
|
298 | (1) |
|
|
298 | (3) |
|
9 Quantum Dynamics in Water Clusters |
|
|
301 | (1) |
|
|
|
|
301 | (1) |
|
9.2 Ring-Polymer Instanton Approach |
|
|
302 | (4) |
|
9.2.1 Semiclassical Theory |
|
|
302 | (1) |
|
9.2.2 Optimization Algorithm |
|
|
303 | (1) |
|
|
304 | (2) |
|
9.3 Tunneling in Various Water Clusters |
|
|
306 | (14) |
|
|
306 | (3) |
|
|
309 | (5) |
|
|
314 | (2) |
|
9.3.4 Water Hexamer Prism |
|
|
316 | (4) |
|
|
320 | (7) |
|
|
327 | (1) |
|
|
327 | (1) |
Author Index |
|
327 | (22) |
Index |
|
349 | |