Descriptions of operators in quantum mechanics

  • N Mukunda
Article

DOI: 10.1007/BF02898336

Cite this article as:
Mukunda, N. Proc. Indian Acad. Sci. (Math. Sci.) (1979) 88: 69. doi:10.1007/BF02898336

Abstract

The problem of expressing a general dynamical variable in quantum mechanics as a function of a primitive set of operators is studied from several points of view. In the context of the Heisenberg commutation relation, the Weyl representation for operators and a new Fourier-Mellin representation are related to the Heisenberg group and the groupSL(2,R) respectively. The description of unitary transformations via generating functions is analysed in detail. The relation between functions and ordered functions of noncommuting operators is discussed, and results closely paralleling classical results are obtained.

Keywords

Heisenberg group Weyl representation Fourier-Mellin representation for operators functions of operators 

Copyright information

© Indian Academy of Sciences 1979

Authors and Affiliations

  • N Mukunda
    • 1
  1. 1.Centre for Theoretical StudiesIndian Institute of ScienceBangalore

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