Quantum and classical probability distributions for arbitrary Hamiltonian

Autor: Semay, Claude, Ducobu, Ludovic
Rok vydání: 2015
Předmět:
Zdroj: Eur. J. Phys. 37 (2016) 045403
Druh dokumentu: Working Paper
DOI: 10.1088/0143-0807/37/4/045403
Popis: 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.
Databáze: arXiv