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

  • Quantum Mechanics
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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.

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Authors and Affiliations

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

    R K Varma

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  1. R K Varma
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Varma, R.K. A generalized Schrödinger formalism as a Hilbert space representation of a generalized Liouville equation. Pramana - J Phys 49, 17–31 (1997). https://doi.org/10.1007/BF02856335

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  • DOI: https://doi.org/10.1007/BF02856335

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