Simulating quantum particles in nonsimply connected space

1991
13 pages
Published in:
  • Int.J.Mod.Phys.A 6 (1991) 2175-2187

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Abstract: (WSP)
The usual simulation methods are inapplicable for a particle in a non-simply-connected space, because closed paths are divided into homotopy classes. The probability distribution over these classes is calculated analytically at low temperatures. A simulation algorithm is proposed.
  • quantum mechanics
  • topology
  • numerical methods: Monte Carlo
  • path integral
  • Aharonov-Bohm effect
  • field theory
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