
Many-Particle Quantum Dynamics in Atomic and Molecular Fragmentation
By: J. Ullrich (Editor), V. P. Shevelko (Editor), Joachim Ullrich (Editor)
Hardcover | 23 July 2003
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548 Pages
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| Kinematics of Atomic and Molecular Fragmentation Reactions | p. 1 |
| General Considerations | p. 1 |
| Definitions and Parameters | p. 2 |
| Fragmentation Reactions for Atomic Targets | p. 4 |
| Particle Kinematics: Fragmentation of Atoms | p. 6 |
| Momentum and Energy Conservation Equations in the Nonrelativistic Case | p. 6 |
| Transverse-and Longitudinal-Momentum Balances | p. 9 |
| Fast Ion-Atom Collisions: Small Momentum, Energy, and Mass Transfers | p. 10 |
| Fast Ion-Atom Collisions: Recoil-Ion Momenta | p. 12 |
| Relativistic Case | p. 14 |
| Ion-Atom Collisions: Illustrative Examples | p. 15 |
| Single-Electron Capture | p. 15 |
| Target Ionization | p. 18 |
| Photon-Atom Collisions | p. 20 |
| Photoeffect | p. 20 |
| Compton Effect | p. 24 |
| Particle Kinematics: Fragmentation of Molecules | p. 25 |
| Many-Body Dissociation of Fast Molecular Beams | p. 25 |
| Longitudinal Fragment Velocity Components in the Approximation z0 = 0 | p. 28 |
| Transverse Fragment Velocity Components in the Approximation of Zero-Beam Extension | p. 28 |
| Transverse Fragment Velocity Components in the Approximation of Zero-Beam Divergence | p. 29 |
| Fragmentation into Two Particles with Equal Masses | p. 29 |
| References | p. 31 |
| Recoil-Ion Momentum Spectroscopy and "Reaction Microscopes" | p. 33 |
| Introduction | p. 33 |
| Imaging Spectrometers for Ions | p. 33 |
| Time Focusing | p. 37 |
| Reconstruction of Momentum Components | p. 37 |
| Spectrometers with Position-Focusing | p. 39 |
| Electric-Field Distortions and Calibration | p. 40 |
| Target Preparation | p. 41 |
| Supersonic Jets | p. 41 |
| Atomic Traps (MOTRIMS) | p. 44 |
| Position-Sensitive Detectors | p. 45 |
| Wedge and Strip Anodes | p. 45 |
| Delay-Line Anodes | p. 47 |
| Multiple-Hit Detection | p. 48 |
| Imaging Spectrometers for Electrons | p. 50 |
| Direct Imaging of Electrons | p. 51 |
| Reaction Microscopes: Magnetic Guiding of Electrons | p. 52 |
| Reconstruction of Electron Momenta | p. 53 |
| New Developments | p. 55 |
| References | p. 57 |
| Multiparticle Imaging of Fast Molecular Ion Beams | p. 59 |
| Introduction | p. 59 |
| Basic Concepts | p. 59 |
| Distances and Times: Order of Magnitude | p. 59 |
| Three-Dimensional vs. Two-Dimensional Imaging | p. 61 |
| Detector Concepts and Development | p. 62 |
| Optical Detection | p. 63 |
| Electrical Detection | p. 64 |
| Image Reconstruction | p. 65 |
| Two-Body Fragmentation | p. 65 |
| Three-Body Channel | p. 67 |
| Conclusion and Outlook | p. 68 |
| References | p. 69 |
| Neutral-Atom Imaging Techniques | p. 71 |
| Introduction | p. 71 |
| Fast-Beam Apparatus | p. 72 |
| Detector Requirements and Specifications | p. 73 |
| Multihit Methods and Readout System | p. 74 |
| Data-Reduction Algorithms | p. 76 |
| Two-Body Decay | p. 76 |
| Many-Body Decay | p. 77 |
| Projection of the Multidimensional Cross Sections | p. 79 |
| Two-Body Decay | p. 79 |
| Three-Body Decay | p. 80 |
| References | p. 81 |
| Collisional Breakup in Coulomb Systems | p. 83 |
| Introduction | p. 83 |
| Exterior Complex Scaling: Circumventing Asymptotic Boundary Conditions | p. 84 |
| Scattered-Wave Formalism: Options for Computing the Wave Function | p. 86 |
| Time-Independent Approach: Linear Equations | p. 86 |
| Time-Dependent Approach: Wavepacket Propagation | p. 88 |
| Extraction of Physical Cross Sections | p. 90 |
| Flux-Operator Approach | p. 91 |
| Formal Rearrangement Theory and Scattering Amplitudes for Three-Body Breakup | p. 92 |
| Multielectron Targets | p. 95 |
| Asymptotic Subtraction | p. 97 |
| Conclusion | p. 99 |
| References | p. 100 |
| Hyperspherical <$>{cal R}<$>-Matrix with Semiclassical Outgoing Waves | p. 103 |
| The Double-Electronic Continuum Problem | p. 103 |
| The ', 2e' Case: a Stationary Formulation | p. 104 |
| Outline of the Three-Step H<$>{cal R}<$>M-SOW Resolution Scheme | p. 105 |
| First Step: Extraction of the Solution at R0 | p. 107 |
| <$>{cal R}<$>-Matrix Relation | p. 107 |
| Local Properties of the Adiabatic Channels | p. 107 |
| Frame Transformation | p. 108 |
| Discussion | p. 109 |
| Second Step: Propagation of the Solution from R0 to Rmax | p. 110 |
| Defining a Semiclassical Treatment of the R-motion | p. 110 |
| Solving the Resulting R-Propagation Equation | p. 112 |
| Third Step: Extraction of the DPI Cross Sections at Rmax | p. 113 |
| Definition of the DPI Cross Sections | p. 113 |
| The Flux-Based Extraction: A Specificity of H<$>{cal R}<$>M-SOW | p. 114 |
| Structure of the Outgoing Flux at Intermediate Distances | p. 116 |
| Extracting the H<$>{cal R}<$>M-SOW Single-Ionization Cross Sections | p. 116 |
| Comments on the Current State-of-the-Art in the Field | p. 117 |
| References | p. 120 |
| Convergent Close-Coupling Approach to Electron-Atom Collisions | p. 121 |
| Introduction | p. 121 |
| Electron-Hydrogen Collisions | p. 121 |
| Structure | p. 122 |
| Scattering | p. 123 |
| S-Wave Model: Proof-of-Principle | p. 128 |
| Full Calculations | p. 131 |
| Conclusions and Future Directions | p. 134 |
| References | p. 134 |
| Close-Coupling Approach to Multiple-Atomic Ionization | p. 137 |
| Introduction: Photoionization vs. Electron-Ion Scattering | p. 137 |
| Two-Electron Photoionization | p. 138 |
| Shake-Off and Two-Step Mechanisms | p. 138 |
| Ground-State Correlation and Gauge Invariance | p. 139 |
| Total Cross Sections for Ionization-Excitation and Double Photoionization of Helium Isoelectronic Sequence | p. 140 |
| Angular Correlation in Two-Electron Continuum: TDCS and Circular Dichroism | p. 142 |
| Symmetrized Amplitudes of Double Photoionization and "Practical Parametrization" of TDCS | p. 144 |
| Beyond Two-Electron Targets: Double Photoionization of Beryllium and Triple Photoionization of Lithium | p. 147 |
| Two-Electron Charged Particle Impact Ionization | p. 148 |
| (,2e) and (e,3e) Reactions on Helium | p. 148 |
| Second Born Corrections | p. 149 |
| Conclusion: Towards Larger Dynamical Freedom | p. 150 |
| References | p. 150 |
| Numerical Grid Methods | p. 153 |
| Introduction | p. 153 |
| Solution of the Time-Dependent Schrodinger EquationUsing Numerical Spatial Grids and High-Order Time Propagation | p. 153 |
| Time Propagation using Taylor Series and Arnoldi Propagator Methods | p. 154 |
| Grid Methods: Finite-Difference and Discrete Variable Representation (DVR) Methods for Spatial Variables | p. 155 |
| Mixed Finite-Difference and Basis-Set Techniques for Spatial Variables in Spherical Geometry with Application to Laser-Driven Helium | p. 158 |
| Mixed Finite-Difference and DVR Techniquesfor Spatial Variables in Cylindrical Geometry with Application to Laser-driven H2 | p. 163 |
| Conclusions | p. 167 |
| References | p. 168 |
| S-Matrix Approach to Intense-Field Processesin Many-Electron Systems | p. 169 |
| Introduction | p. 169 |
| The Rearranged Many-Body S-Matrix Theory | p. 169 |
| Applications to Intense-Field Ionization Dynamics | p. 171 |
| Intense-Field Ionization of Atoms | p. 171 |
| Recoil-Momentum Distributions for Nonsequential Double Ionization | p. 172 |
| Intense-Field Ionization of Molecules | p. 177 |
| Conclusion | p. 181 |
| References | p. 182 |
| Quantum Orbits and Laser-Induced Nonsequential Double Ionization | p. 185 |
| Introduction | p. 185 |
| The S-Matrix Element | p. 186 |
| Volkov Wave Functions | p. 186 |
| The S Matrix in the Strong-Field Approximation | p. 187 |
| Quantum Orbits | p. 188 |
| The Saddle-Point Approximation | p. 188 |
| The Simple-Man Model | p. 190 |
| Classical Cutoffs | p. 191 |
| The Long and the Short Orbits | p. 192 |
| An Analytical Approximation to the Complex Quantum Orbits | p. 193 |
| Results | p. 194 |
| The Choice of the Electron-Electron Interaction Potential | p. 195 |
| The Case of the Contact Electron-Electron Interaction | p. 196 |
| Distribution of the Ion Momentum and the Electron Momenta | p. 197 |
| Resonances and the Effects of Orbits with Long Travel Time | p. 198 |
| Channel Closings | p. 200 |
| Relation to Formal Scattering Theory | p. 201 |
| Conclusions | p. 202 |
| References | p. 202 |
| Time-Dependent Density Functional Theory in Atomic Collisions | p. 205 |
| Introduction | p. 205 |
| Basic Concepts of Time-Dependent Density-Functional Theory | p. 206 |
| Time-Dependent Kohn-Sham Equations | p. 207 |
| Kohn-Sham Potential | p. 208 |
| Numerical Solution of the Kohn-Sham Equations | p. 210 |
| Extraction of Observables | p. 211 |
| Exact Functionals | p. 211 |
| Approximate Functionals | p. 213 |
| Applications | p. 214 |
| Many-Electron Atoms in Strong Laser Fields | p. 214 |
| Ion-Atom Collisions Involving Many Active Electrons | p. 215 |
| Fragmentation of Atomic Clusters in Collisions with Ions | p. 216 |
| Conclusion | p. 216 |
| References | p. 218 |
| Electronic Collisions in Correlated Systems: From the Atomic to the Thermodynamic Limit | p. 221 |
| Introduction | p. 221 |
| Two Charged-Particle Scattering | p. 221 |
| Three-Particle Coulomb Continuum States | p. 222 |
| Coulomb Three-Body Scattering in Parabolic Coordinates | p. 223 |
| Remarks on the Structure of the Three-Body Hamiltonian | p. 224 |
| Dynamical Screening | p. 227 |
| Theory of Excited N-Particle Finite Systems | p. 228 |
| Continuum States of N-Charged Particles | p. 228 |
| Green' Function Theory of Finite Correlated Systems | p. 230 |
| Application to Four-Body Systems | p. 231 |
| Thermodynamics and Phase Transitions in Finite Systems | p. 231 |
| Collective Response Versus Short-Range Dynamics | p. 232 |
| Manifestations of Collective Response in Finite Systems | p. 233 |
| The Quantum Field Approach: Basic Concepts | p. 233 |
| The Single-Particle Green's Function for Extended Systems | p. 234 |
| Particle-Particle and Hole-Hole Spectral Functions | p. 237 |
| The Two-Particle Photocurrent | p. 239 |
| Conclusion | p. 242 |
| References | p. 242 |
| From Atoms to Molecules | p. 245 |
| Introduction | p. 245 |
| Double Ionization of Helium by Photoabsorption | p. 245 |
| Energy, Momentum, and Angular Momentum Considerations | p. 245 |
| Probability and Mechanisms of Double Ionization | p. 246 |
| Electron and Ion Momentum Distributions | p. 249 |
| Fully Differential Cross Sections | p. 250 |
| Double Ionization of Helium by Compton Scattering | p. 253 |
| Double Ionization of H2 | p. 254 |
| Conclusions and Open Questions | p. 256 |
| References | p. 257 |
| Vector Correlations in Dissociative Photoionizationof Simple Molecules Induced by Polarized Light | p. 261 |
| Introduction | p. 261 |
| (Ve, VA+, ê) Photoelectron-Photoion Vector Correlations in Dissociative Photoionization of Small Molecules | p. 263 |
| Experimental Approaches | p. 263 |
| Electron-Ion Kinetic Energy Correlation | p. 264 |
| (Ve, VA+, ê) Angular Correlations | p. 266 |
| (VA+, VB+,...ê) Vector Correlations in Multiple Ionization of Small Polyatomic Molecules | p. 276 |
| Conclusion and Perspectives | p. 277 |
| References | p. 278 |
| Relaxation Dynamics of Core Excited Molecules Probed by Auger-Electron-Ion Coincidences | p. 283 |
| Introduction | p. 283 |
| Experimental Approaches | p. 284 |
| Description of the DTA (Double-Toroidal Analyzer) | p. 286 |
| Mass Spectrometer and Coincidence Regime | p. 287 |
| Nuclear Motion in Competition with Resonant Auger Relaxation | p. 288 |
| Mapping Potential Energy Surfaces by Core Electron Excitation: BF3 | p. 289 |
| Molecular Dissociation Mediated by Bending Motion in the Core-Excited CO2 | p. 292 |
| Selective Photofragmentation | p. 293 |
| Dynamical Angular Correlation of the Photoelectron and the Auger Electron | p. 296 |
| Conclusions and Perspectives | p. 297 |
| References | p. 299 |
| Laser-Induced Fragmentation of Triatomic Hydrogen | p. 303 |
| Introduction | p. 303 |
| Signatures of Many-Body Interactions in Predissociation | p. 305 |
| Scalar Observables | p. 306 |
| Observation of Vector Correlations | p. 306 |
| Imaging Molecular Dynamics in Triatomics | p. 307 |
| Two-Body Decay | p. 308 |
| Three-Body Decay | p. 310 |
| Interpretation of Experimental Maps of Nonadiabatic Coupling | p. 311 |
| Outlook | p. 314 |
| References | p. 315 |
| Nonsequential Multiple Ionization in Strong Laser Fields | p. 317 |
| Introduction | p. 317 |
| Strong-Field Single Ionization | p. 319 |
| Electron Rescattering on the Ion Core | p. 321 |
| Is Momentum Conserved in a Strong Laser Pulse? | p. 323 |
| An Experimental Setup | p. 326 |
| The Momentum Spectrometer | p. 327 |
| The Laser System | p. 329 |
| Neon Multiple Ionization | p. 330 |
| Argon Double Ionization: The Differences Compared to Neon | p. 334 |
| Conclusions and Perspectives | p. 335 |
| References | p. 336 |
| Helium Double Ionization in Collisions with Electrons | p. 339 |
| Introduction | p. 339 |
| Experimental Setup | p. 341 |
| Low Momentum Transfer Collisions | p. 342 |
| Impulsive Collisions with Large Momentum Transfer | p. 347 |
| Conclusion and Outlook | p. 349 |
| References | p. 350 |
| Fast p-He Transfer Ionization Processes: A Window to Reveal the Non-s2 Contributions in the Momentum Wave Function of Ground-State He | p. 353 |
| Introduction | p. 353 |
| Experimental Technique | p. 356 |
| Experimental Results and Discussion of Observed Momentum Patterns | p. 359 |
| Shake-Off Process From Non-s2 Contributions | p. 370 |
| Conclusions | p. 374 |
| References | p. 377 |
| Single and Multiple Ionizationin Strong Ion-Induced Fields | p. 379 |
| Introduction | p. 379 |
| Interaction of Ion-Generated Strong Fields with Atoms and Single Ionization | p. 380 |
| Ion-Generated Fields | p. 380 |
| Single Ionization at Small Perturbations | p. 381 |
| Single Ionization for Strong Ion-Induced Fields at Large Perturbations | p. 386 |
| Double Ionization in Ion-Generated Strong Fields | p. 394 |
| Basic Mechanisms of Double Ionization | p. 394 |
| Double Ionization at Strong Perturbations | p. 395 |
| Multiple Ionization in Ion-Generated Strong Fields | p. 402 |
| A View Into the Future | p. 405 |
| Experiments in Storage Rings | p. 405 |
| Laser-Assisted Collisions | p. 405 |
| References | p. 406 |
| Coulomb-Explosion Imaging Studies of Molecular Relaxation and Rearrangement | p. 411 |
| Foil-induced Coulomb-Explosion Imaging | p. 411 |
| Experimental Procedure | p. 416 |
| Selected Results | p. 419 |
| Radiative Vibrational Relaxation of HD+ | p. 419 |
| The Quasilinear Molecule <$>{rm CH}_2^+<$> | p. 423 |
| Outlook | p. 425 |
| References | p. 426 |
| Charged-Particle-Induced Molecular Fragmentation at Large Velocities | p. 429 |
| Introduction | p. 429 |
| Molecular Fragmentation | p. 430 |
| Branching Ratios and Multielectron Removal Cross Sections | p. 430 |
| Orientation Effect | p. 432 |
| Fragmentation Dynamics | p. 434 |
| Non-Coulombic Fragmentation | p. 435 |
| Polyatomic Molecules | p. 436 |
| Projectile Momentum Transfer | p. 439 |
| Conclusion and Future Trends | p. 443 |
| References | p. 443 |
| Electron-Interaction Effects in Ion-Induced Rearrangement and Ionization Dynamics: A Theoretical Perspective | p. 447 |
| Introduction | p. 447 |
| Classification of Electron-Interaction Effects: A Density Functional Approach | p. 448 |
| Effects Associated with the Kohn-Sham Potential | p. 449 |
| Effects Associated with the Density Dependence of Observables | p. 451 |
| Identification of Electron-Interaction Effects: Comparison with Experiment | p. 452 |
| Static Exchange Effects | p. 452 |
| Response Effects | p. 454 |
| Pauli Blocking | p. 457 |
| What Lies Beyond: Correlation Effects | p. 459 |
| Concluding Remarks | p. 460 |
| References | p. 461 |
| Ionization Dynamics in Atomic Collisions | p. 463 |
| Introduction | p. 463 |
| Theory of Hidden Crossings | p. 464 |
| General Formalism | p. 465 |
| S-Ionization and Superpromotion | p. 466 |
| T-Ionization and Saddle-Point Electrons | p. 468 |
| D-Ionization and Radial Decoupling | p. 472 |
| Sturmian Theory | p. 473 |
| Scale Transformation of Solov'ev-Vinitsky | p. 473 |
| Sturmian Basis | p. 474 |
| Wave Functions and Transition Amplitudes in Fourier Space | p. 474 |
| Results of Calculations | p. 475 |
| Differential Cross Sections | p. 476 |
| Total Cross Sections | p. 479 |
| Conclusions | p. 481 |
| References | p. 482 |
| Fragment-Imaging Studies of Dissociative Recombination | p. 485 |
| Dissociative Recombination | p. 485 |
| Experimental Method | p. 486 |
| Diatomic Molecules | p. 488 |
| Branching Ratios for the Hydrogen Molecular Ion | p. 488 |
| Noncrossing Mode Recombination (HeH+) | p. 494 |
| Metastable States in CH+ | p. 494 |
| <$>{rm O}_2^+<$> and Similar, Atomspherically Relevant Species | p. 496 |
| Small Polyatomic Molecules | p. 498 |
| General Experimental Aspects | p. 498 |
| Triatomic Hydrogen (<$>{rm H}_3^+<$>) | p. 499 |
| The Water Ion | p. 505 |
| Conclusions and Outlook | p. 506 |
| References | p. 506 |
| Index | p. 509 |
| Table of Contents provided by Publisher. All Rights Reserved. |
ISBN: 9783540006671
ISBN-10: 3540006672
Series: Springer Series on Atomic, Optical, and Plasma Physics, 35
Published: 23rd July 2003
Format: Hardcover
Language: English
Number of Pages: 548
Audience: Professional and Scholarly
Publisher: Springer Nature B.V.
Country of Publication: DE
Dimensions (cm): 23.5 x 15.24 x 2.54
Weight (kg): 1.02
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