Extended Wigner function for the harmonic oscillator in the phase space

• URL: http://arxiv.org/abs/2003.11737v1
• Date: Thu, 26 Mar 2020 04:18:41 GMT
• Title: Extended Wigner function for the harmonic oscillator in the phase space
• Authors: E.E. Perepelkin, B.I. Sadovnikov, N.G. Inozemtseva, E.V. Burlakov
• Abstract summary: The Moyal equation for the harmonic oscillator has been presented as the wave equation of a 2D membrane in the phase plane. The Wigner function is equal to the deviation values of the points on the surface of the membrane from the equilibrium state. As an example, a time dependent Wigner function corresponding to the standing wave of quasi-probability density arising in the phase plane is considered.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: New time dependent Wigner functions for the quantum harmonic oscillator have been obtained in this work. The Moyal equation for the harmonic oscillator has been presented as the wave equation of a 2D membrane in the phase plane. The values of the Wigner function are equal to the deviation values of the points on the surface of the membrane from the equilibrium state. The positive and negative values of the Wigner function correspond to the direction of the deviation from the equilibrium state. As an example, a time dependent Wigner function corresponding to the standing wave of quasi-probability density arising in the phase plane is considered.

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