The equation of motion is obtained for the Wigner distribution for time-dependent potentials. It is shown that one cannot obtain an equation of motion for the standard Wigner distribution but one can do so for the four-dimensional distribution of the variables position, momentum, time, and frequency. Three forms are given and it is shown that for time-independent potentials the new form reduces to the equations originally obtained by Wigner and Moyal.

Wigner equation of motion for time-dependent potentials / Galleani, Lorenzo; Cohen, L.. - In: JOURNAL OF MODERN OPTICS. - ISSN 0950-0340. - STAMPA. - 49:3/4(2002), pp. 561-569. [10.1080/09500340110088515]

Wigner equation of motion for time-dependent potentials

GALLEANI, Lorenzo;
2002

Abstract

The equation of motion is obtained for the Wigner distribution for time-dependent potentials. It is shown that one cannot obtain an equation of motion for the standard Wigner distribution but one can do so for the four-dimensional distribution of the variables position, momentum, time, and frequency. Three forms are given and it is shown that for time-independent potentials the new form reduces to the equations originally obtained by Wigner and Moyal.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/1663073
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