Document Type
Article
Publication Date
3-2000
Keywords
DIRAC-EQUATION, HARMONIC-GENERATION, CHAOS, MOTION, FIELDS, SPACE, ATOM, Optics, Physics
Abstract
We compare the time evolution of the quantum-mechanical spatial probability density obtained by solving the time-dependent Dirac equation with its classical counterpart obtained from the relativistic Liouville equation for the phase-space density in a regime in which the dynamics is essentially relativistic. For a resonantly driven one-dimensional harmonic oscillator, the simplest nontrivial model system to perform this comparison, we find that, despite the nonlinearity induced by relativity, the classical ensemble description matches the quantum evolution remarkably well.
Recommended Citation
Grobe, Rainer; Su, Qichang; Peverly, P J.; and Wagner, R E., "Classical versus quantum dynamics for a driven relativistic oscillator" (2000). Faculty publications – Physics. 15.
https://ir.library.illinoisstate.edu/fpphys/15
Comments
Originally published in Physical Review A by the American Physical Society.