Harmonic Oscillator with a Step and Its Wigner Function

Seoktae Koh

Mar Sánchez–Córdova, Jasel Berra–Montiel, Alberto Molgado +1 more

Seoktae Koh

Jean Michel Sellier, Ivan Dimov

Li Kang

The quantum harmonic oscillator is a basic model for many complex ones.After integration,the Wigner function of quantum harmonic oscillator can be expressed by a simple form,which can be used to solve many related problems.This paper has placed the harmonic oscillator in non-commutative phase space,and studied the Wigner function of two-dimensional charged harmonic oscillator in electric field.The results show that when the non-commutative parameter is zero,the Wigner function of two-dimensional charged harmonic oscillator is equivalent to its form in commutative space.

Ya‐Hui Wang

Based on the property of wigner function,the Wigner function of charged Linear Harmonic Oscillator in non-commutative space was obtained by considering the noncommutative of the coordinate-coordinate in the relation of space variable.