The Wigner function negative value domains and energy function poles of the polynomial oscillator

E. E. Perepelkin; B. I. Sadovnikov; N. G. Inozemtseva; E. V. Burlakov; P. V. Afonin

doi:10.1016/j.physa.2022.127339

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arXiv · 2111.13261

The Wigner function negative value domains and energy function poles of the polynomial oscillator

E. E. Perepelkin·B. I. Sadovnikov·N. G. Inozemtseva·E. V. Burlakov·P. V. Afonin

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Abstract

For a quantum oscillator with the polynomial potential an explicit expression that describes the energy distribution as a coordinate (and momentum) function is obtained. The presence of the energy function poles is shown for the quantum system in the domains where the Wigner function has negative values.

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E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva, E. V. Burlakov, P. V. Afonin. 2021-11-25. The Wigner function negative value domains and energy function poles of the polynomial oscillator. https://doi.org/10.1016/j.physa.2022.127339

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