Analytical Solution for Gross-Pitaevskii Equation in Phase Space and Wigner Function

Autor:	Martins, A. X., Paiva, R. A. S., Petronilo, G., Luz, R. R., Ulhoa, S. C., Amorim, R. G. G., Filho, T. M. R.
Rok vydání:	2020
Předmět:	Mathematical Physics High Energy Physics - Theory
Druh dokumentu:	Working Paper
Popis:	In this work we study symplectic unitary representations for the Galilei group. As a consequence a Non-Linear Schr\"odinger equation is derived in phase space. The formalism is based on the non-commutative structure of the star-product, and using the group theory approach as a guide a physically consistent theory is constructed in phase space. The state is described by a quasi-probability amplitude that is in association with the Wigner function. With these results, we solve the Gross-Pitaevskii equation in phase space and obtained the Wigner function for the system considered. Comment: 12 pages, 3 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2001.10925 Zobrazit plný text záznamu View this record from Arxiv