Geodesic flows, von Neumann equation and quantum mechanics on non commutative cylinder

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Abstract

We study quantum mechanics on the noncommutative cylinder via Moyal deformed geodesic flows on the group of area preserving diffeomorphism. This equation coincides exactly with the von Neumann equation. Using discretization techniques of Kemmoku and Saito we obtain the discrete Schrödinger equation on noncommutative cylinder. Thus we reproduce the result of Balachandran et al.

Original languageBritish English
Pages (from-to)2151-2160
Number of pages10
JournalModern Physics Letters A
Volume21
Issue number28
DOIs
StatePublished - 14 Sep 2006

Keywords

  • Area-preserving diffeomorphism
  • Moyal
  • Noncommutative
  • Von Neumann equation

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