Classical versus quantum dynamics for a driven relativistic oscillator
Abstract
We compare the time evolution of the quantummechanical spatial probability density obtained by solving the timedependent Dirac equation with its classical counterpart obtained from the relativistic Liouville equation for the phasespace density in a regime in which the dynamics is essentially relativistic. For a resonantly driven onedimensional 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.
 Publication:

Physical Review A
 Pub Date:
 March 2000
 DOI:
 10.1103/PhysRevA.61.035402
 Bibcode:
 2000PhRvA..61c5402W
 Keywords:

 32.80.t;
 03.65.w;
 Photon interactions with atoms;
 Quantum mechanics