Preface | p. ix |
Contributors | p. xi |
Unstable States: From Quantum Mechanics to Statistical Physics | p. 1 |
Introduction | p. 2 |
Quantum Resonances | p. 3 |
Collisions | p. 26 |
Statistical Physics | p. 33 |
Concluding Remarks | p. 42 |
Acknowledgment | p. 42 |
Appendices | p. 42 |
References | p. 46 |
Unstable States in Laser Assisted and Controlled Molecular Processes | p. 51 |
Introduction | p. 52 |
General Theory of Laser-Molecule Interactions | p. 55 |
Numerical Methodologies | p. 68 |
Processes and Mechanisms for Molecular Fragmentations in IR and UV-Vis Frequency Regimes | p. 74 |
XUV+IR Pump-Probe Spectroscopy of Molecular Dissociative Ionization | p. 81 |
ZWRs and EPs in Molecular Photodissociation | p. 88 |
Conclusion | p. 99 |
Acknowledgments | p. 101 |
References | p. 101 |
Coherence Effects in Laser-Induced Continuum Structure | p. 105 |
Introduction | p. 106 |
A Brief Historical Survey of LICS | p. 107 |
ETT and its Connection with LICS | p. 108 |
QC and LICS | p. 128 |
The Connection between LICS, CC, and AP | p. 135 |
Summary | p. 149 |
Acknowledgments | p. 150 |
References | p. 150 |
Theory and State-Specific Methods for the Analysis and Computation of Field-Free and Field-Induced Unstable States in Atoms and Molecules | p. 163 |
Beyond Pure Formalism: The Importance of Solving Efficaciously the Many-Electron Problem (MEP) for Unstable (or No stationary, or Resonance) States in the Field-Free and Field-Induced Spectra of Many-Electron Atoms and Molecules | p. 167 |
Principal Characteristics of the Dominant Theoretical Approaches to the Computation of Unstable States in Atoms and Molecules Up to About the End of the 1960s-Early 1970s | p. 173 |
Field-Free Hamiltonian: The Form of Wavefunctions for Resonance States in the Context of Time- and of Energy-Dependent Theories and its Use for Phenomenology and Computation | p. 186 |
Aspects of the Nature and of the Preparation of 0 and of Its Connection to the Resonance Eigenfunction | p. 198 |
The Form of the Resonance Eigenfunction and the Complex Eigenvalue Schrödinger Equation | p. 208 |
Computation via the CESE SSA. Many-Body Expansion and Partial Widths with Interchannel Coupling | p. 214 |
Two Examples of Results from the Application of the CESE Approach | p. 217 |
The State-Specific Calculation of 0 | p. 221 |
Understanding the Electronic Structures of Resonances and Their Effects on Spectra in the Framework of the SSA | p. 234 |
The Use of 0s and of Scattering Wavefunctions in the SSEA for the Solution of the TDSE | p. 245 |
Field-Induced Quantities Obtained as Properties of Resonance States in the Framework of the CESE-SSA | p. 246 |
Conclusion and Synopsis | p. 254 |
References | p. 258 |
Quantum Theory of Reactive Scattering in Phase Space | p. 269 |
Introduction | p. 271 |
Phase Space Structures Underlying Reaction Dynamics | p. 274 |
Quantum Normal Form Representation of the Activated Complex | p. 290 |
The Cumulative Reaction Probability | p. 296 |
Gamov-Siegert Resonances | p. 306 |
Further Challenges | p. 308 |
Conclusions | p. 317 |
Appendix | p. 318 |
Acknowledgments | p. 329 |
References | p. 329 |
The State-Specific Expansion Approach to the Solution of the Polyelectronic Time-Dependent Schrödinger Equation for Atoms and Molecules in Unstable States | p. 333 |
Introduction | p. 335 |
On the Nonperturbative Solution of the TDSE for Problems Where a Ground or an Excited State of an Atom (Molecule) Interacts With a Strong Electromagnetic Pulse of Short Duration | p. 343 |
AB Initio Computation of Unusual Time-Dependent Molecular Processes Using Judiciously Chosen Expansions for the (t) | p. 349 |
The State-Specific Expansion Approach (SSEA) | p. 355 |
The Theory and Computation of Stationary State-Specific Wavefunctions for Low- and High-Lying States | p. 368 |
Applications of the SSEA | p. 382 |
Conclusion | p. 397 |
References | p. 398 |
Theory of Resonant States: An Exact Analytical Approach for Open Quantum Systems | p. 407 |
Introduction | p. 408 |
Properties of Resonant States in 3D (The Half-Line in ID) | p. 411 |
Extension to ID (the Full Line) | p. 422 |
Scattering and Tunneling in the Energy Domain | p. 426 |
Transient Phenomena | p. 433 |
Conclusions | p. 446 |
Acknowledgments | p. 447 |
Appendices | p. 448 |
References | p. 452 |
Quantum Electrodynamics of One-Photon Wave Packets | p. 457 |
Introduction | p. 458 |
Quantum Electrodynamics of a Material Two-level System-Basic Aspects | p. 460 |
Quantum Electrodynamics with Controlled Mode Selection | p. 467 |
Conclusions and Outlook | p. 480 |
References | p. 481 |
Quantum Decay at Long Times | p. 485 |
Introduction | p. 486 |
Examples and Simple Models | p. 491 |
Three-Dimensional Models of a Particle Escaping from a Trap | p. 495 |
Physical Interpretations of Long-time Decay | p. 501 |
The Problematic Experimental Observation | p. 511 |
Enhancing Post-Exponential Decay via Distant Detectors | p. 520 |
Final Comments | p. 529 |
Acknowledgments | p. 529 |
References | p. 529 |
Index | p. 537 |
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