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arXiv · 1512.05083

Quantum and classical probability distributions for arbitrary Hamiltonian

Claude Semay·Ludovic Ducobu
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Abstract

In the limit of large quantum excitations, the classical and quantum probability distributions for a Schrödinger 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.

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Claude Semay, Ludovic Ducobu. 2015-12-16. Quantum and classical probability distributions for arbitrary Hamiltonian. https://doi.org/10.1088/0143-0807%2F37%2F4%2F045403

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