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.Pubblicazioni consigliate
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https://hdl.handle.net/11583/1663073
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