• New light on the optical equivalence theorem and a new type of discrete diagonal coherent state representation

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/010/03/0227-0238

    • Keywords

       

      Optical equivalence theorem; coherent states; overcomplete family of states; discrete diagonal representation

    • Abstract

       

      In many instances we find it advantageous to display a quantum optical density matrix as a generalized statistical ensemble of coherent wave fields. The weight functions involved in these constructions turn out to belong to a family of distributions, not always smooth functions. In this paper we investigate this question anew and show how it is related to the problem of expanding an arbitrary state in terms of an overcomplete subfamily of the overcomplete set of coherent states. This provides a relatively transparent derivation of the optical equivalence theorem. An interesting by-product is the discovery of a new class of discrete diagonal representations.

    • Author Affiliations

       

      N Mukunda1 E C G Sudarshan1 2

      1. Centre for Theoretical Studies, Indian Institute of Science, Bangalore - 560 012
      2. Department of Physics, University of Texas, Austin, Texas, USA
    • Dates

       
  • Pramana – Journal of Physics | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2017-2019 Indian Academy of Sciences, Bengaluru.