• Operator properties of generalized coherent state systems

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      https://www.ias.ac.in/article/fulltext/pram/056/02-03/0245-0265

    • Keywords

       

      Generalized coherent states; diagonal representation; induced representation theory

    • Abstract

       

      The main properties of standard quantum mechanical coherent states and the two generalizations of Klauder and of Perelomov are reviewed. For a system of generalized coherent states in the latter sense, necessary and sufficient conditions for existence of a diagonal coherent stable representation for all Hilbert-Schmidt operators are obtained. The main ingredients are Clebsch-Gordan theory and induced representation theory.

    • Author Affiliations

       

      N Mukunda1 2

      1. Centre for Theoretical Studies and Department of Physics, Indian Institute of Science, Bangalore - 560 012, India
      2. Jawaharlal Nehru Centre for Advanced Scientific Research, Jakkur, Bangalore - 560 064, India
    • Dates

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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