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Time-Dependent Harmonic Oscillator and the Wigner Function
New Phys.: Sae Mulli 2019; 69: 1308~1312
Published online December 31, 2019;
© 2019 New Physics: Sae Mulli.

Seoktae KOH*

Department of Science Education, Jeju National University, Jeju 63243, Korea
Correspondence to:
Received September 11, 2019; Revised October 29, 2019; Accepted October 29, 2019.
cc This is an open-access article distributed under the terms of the Creative Commons Attribution Non-Commercial License ( which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
We consider a harmonic oscillator with time-dependent mass and frequency. Using the Lewis-Reisenfeld invariant approach, we calculate the wave function of the time-dependent harmonic oscillator. Then, we calculate the Wigner function of that oscillator. For a specific example, we consider the Caldirola-Kanai oscillator, and we find that the Wigner function of the Caldirola-Kanai oscillator
PACS numbers: 98.80.Cq,04.62.+v, 04.50.Kd, 11.30.-j
Keywords: Harmonic oscillator, Time-dependent, Wigner function, Squeezed state

January 2020, 70 (1)
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