Weyl-Wigner correspondence in two space dimensions

Jens Peder Dahl, S. Varro, A. Wolf, W.P. Schleich

Research output: Contribution to journalJournal articleResearchpeer-review


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 languageEnglish
JournalJournal of Modern Optics
Issue number13-15
Pages (from-to)2017-2032
Publication statusPublished - 2007


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