Foundations of Physics

, Volume 21, Issue 6, pp 649–663 | Cite as

On the quantum Hamilton-Jacobi formalism

  • Antonio Soares de Castro
  • Alvaro de Souza Dutra


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.


Harmonic Oscillator Standard Case 
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Copyright information

© Plenum Publishing Corporation 1991

Authors and Affiliations

  • Antonio Soares de Castro
    • 1
  • Alvaro de Souza Dutra
    • 1
    • 2
  1. 1.UNESP/Campus de Guaratinguetá, DFQGuaratinguetá, SPBrasil
  2. 2.Centro Brasileiro de Pesquisas Físicas, DCPRio de Janeiro, RJBrasil

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