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

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    • 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

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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