Z Haba 1994 J. Phys. A: Math. Gen. 27 4247 doi:10.1088/0305-4470/27/12/029
Quantum dynamics of a particle in a plane wave
Z Haba
Show affiliationsWe discuss quantum dynamics of a particle in a time and space periodic field. We consider a soluble model of a particle in a plane wave, and reduce the quantum problem to a random Riccati equation. We show that solutions of the Riccati equation experience an abrupt change from a periodic to non-periodic behaviour under a variation of classical parameters with respect to the Planck constant. As a consequence the classical results on particle trapping by an electromagnetic wave need a quantum correction.
- PACS
- MSC
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81P20 Stochastic mechanics (including stochastic electrodynamics)
- Subjects
- Dates
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Issue 12 (21 June 1994)
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Quantum dynamics of a particle in a plane wave
Z Haba 1994 J. Phys. A: Math. Gen. 27 4247
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