Abstract
We consider Wigner functions in two space dimensions. In particular, we focus on Wigner functions corresponding to energy eigenstates of a non-relativistic particle moving in two dimensions in the absence of a potential. With the help of the Weyl-Wigner correspondence we first transform the eigenvalue equations for energy and angular momentum into phase space. As a result we arrive at partial differential equations in phase space which determine the corresponding Wigner function. We then solve the resulting equations using appropriate coordinates.
Original language | English |
---|---|
Journal | Journal of Modern Optics |
Volume | 54 |
Issue number | 13-15 |
Pages (from-to) | 2017-2032 |
ISSN | 0950-0340 |
DOIs | |
Publication status | Published - 2007 |