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On the quantum Hamilton-Jacobi formalism

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Abstract

Some postulates are introduced to go from the classical Hamilton-Jacobi theory to the quantum one. We develop two approaches in order to calculate propagators, establishing the connection between them and showing the equivalence of this picture with more known ones such as the Schrödinger's and the Feynman's formalisms. Applications of the above-mentioned approaches to both the standard case of the harmonic oscillator and to the harmonic oscillator with time-dependent parameters are made.

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Authors and Affiliations

  1. UNESP/Campus de Guaratinguetá, DFQ, Av. Dr. Ariberto Pereira da Cunha, 333, 12500, Guaratinguetá, SP, Brasil

    Antonio Soares de Castro & Alvaro de Souza Dutra

  2. Centro Brasileiro de Pesquisas Físicas, DCP, Av. Dr. Xavier Sigaud, 150, 22290, Rio de Janeiro, RJ, Brasil

    Alvaro de Souza Dutra

Authors
  1. Antonio Soares de Castro
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  2. Alvaro de Souza Dutra
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de Castro, A.S., de Souza Dutra, A. On the quantum Hamilton-Jacobi formalism. Found Phys 21, 649–663 (1991). https://doi.org/10.1007/BF00733275

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  • DOI: https://doi.org/10.1007/BF00733275

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