Quantum and classical probability distributions for arbitrary Hamiltonian
Quantum Physics
2016-05-18 v1
Abstract
In the limit of large quantum excitations, the classical and quantum probability distributions for a Schr\"odinger equation can be compared by using the corresponding WKBJ solutions whose rapid oscillations are averaged. This result is extended for one-dimensional Hamiltonians with a non-usual kinetic part. The validity of the approach is tested with a Hamiltonian containing a relativistic kinetic energy operator.
Cite
@article{arxiv.1512.05083,
title = {Quantum and classical probability distributions for arbitrary Hamiltonian},
author = {Claude Semay and Ludovic Ducobu},
journal= {arXiv preprint arXiv:1512.05083},
year = {2016}
}