Dynamics of the τ-Wigner distribution function

Autor: B J Spisak, D Wozniak, D Kolaczek
Rok vydání: 2022
Předmět:
Zdroj: Journal of Physics A: Mathematical and Theoretical. 55:504003
ISSN: 1751-8121
1751-8113
DOI: 10.1088/1751-8121/acaa15
Popis: Some of the non-classical distribution functions defined on the phase space can be unified owing to specific parameterization. The latter allows one to think about the general form of the equation of motion (EOM) for such parameterized distribution functions. Motivated by this idea, we derive the EOM for so-called the τ-Wigner distribution function (WDF). This parameterization directly results from a modification of the linear transformation of the spatial variables which is used to derive the original WDF and its EOM. The derived equation is analytically solved for the case of linear potential. The point symmetries of this last equation are also analyzed.
Databáze: OpenAIRE