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Time-Dependent Semiclassical Scattering Theory. II. Atomic Collisions
Abstract
We derive "classical" equations for the relative motion of two atoms as their insides make a given quantum transition. The classical changes in relative energy and angular momentum associated with this description just balance the corresponding quantum changes in internal energy and angular momentum for the transition involved. The work is based on a generalization of Hamilton's principle, suggested in a natural way by Feynman's formulation of quantum mechanics; the semiclassical scattering theory which emerges is, in essence, a justification and extension of the impact-parameter method. Applications to low-energy atomic collisions are discussed briefly.
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Citations
Cites
Non-adiabatic crossing of energy levels
Zener, C. (1932) · Proceedings of the Royal Society of London Series A Containing Papers of a Mathematical and Physical Character · doi:10.1098/rspa.1932.0165 · Cited by 4,572
Cited by
Reaction-rate theory: fifty years after Kramers
Hänggi, P., Talkner, P., & Borkovec, M. (1990) · Reviews of Modern Physics · doi:10.1103/revmodphys.62.251 · Cited by 6,154
Ab Initio Multiple Spawning: Photochemistry from First Principles Quantum Molecular Dynamics
Ben-Nun, M., Quenneville, J., & Martínez, T. J. (2000) · The Journal of Physical Chemistry A · doi:10.1021/jp994174i · Cited by 834
Recent Advances and Perspectives on Nonadiabatic Mixed Quantum–Classical Dynamics
Crespo-Otero, R., & Barbatti, M. (2018) · Chemical Reviews · doi:10.1021/acs.chemrev.7b00577 · Cited by 733
Mixed quantum-classical dynamics
Kapral, R., & Ciccotti, G. (1999) · The Journal of Chemical Physics · doi:10.1063/1.478811 · Cited by 678
Semiclassical Description of Nonadiabatic Quantum Dynamics
Stock, G., & Thoss, M. (1997) · Physical Review Letters · doi:10.1103/physrevlett.78.578 · Cited by 585
Metadata
- Authors
- Pechukas, P.
- Venue
- Physical Review
- Publisher
- American Physical Society (APS)
- Published
- 1969-05-05
- Volume
- 181
- Issue
- 1
- Pages
- 174-185
- ISSN
- 0031-899X (ISSN-L)
- OpenAlex
- W2800685835
- Cited by
- 422
- References
- 1
- FWCI
- 3.62
- Type
- journal article
- Language
- en
- Open access
- closed
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