Quantization on a torus without position operators

  • Shogo Tanimura
  • Published 2003

Abstract

We formulate quantum mechanics in the two-dimensional torus without using position operators. We define an algebra with only momentum operators and shift operators and construct an irreducible representation of the algebra. We show that it realizes quantum mechanics of a charged particle in a uniform magnetic field. We prove that any irreducible… (More)

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Cite this paper

@inproceedings{Tanimura2003QuantizationOA, title={Quantization on a torus without position operators}, author={Shogo Tanimura}, year={2003} }