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    • A generalized Schrödinger formalism as a Hilbert space representation of a generalized Liouville equation

      R K Varma

      Quantum Mechanics Volume 49 Issue 1 July 1997 pp 17-31

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/049/01/0017-0031

    • Keywords

       

      Classical and quantum mechanics; Hilbert space representation charged particle dynamics; non-Planckian discrete states

    • Abstract

       

      A generalized Schrödinger formalism has been presented which is obtained as a Hilbert space representation of a Liouville equation generalized to include the action as a dynamical variable, in addition to the positions and the momenta. This formalism applied to a classical mechanical system had been shown to yield a similar set of Schrödinger like equations for the classical dynamical system of charged particles in a magnetic field. The novel quantum-like predictions for this classical mechanical system have been experimentally demonstrated and the results are presented.

    • Author Affiliations

       

      R K Varma1

      1. Physical Research Laboratory, Ahmedabad - 380 009, India

    • Dates

       
      Published
      July 1997

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