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Paper   IPM / P / 13859
School of Physics
  Title:   The introduction of the quantum kinetic energy term via the Hamilton-Jacobi approach
1.  M. Mollai
2.  M. Razavi
3.  S. Jami
4.  A. Ahanj
  Status:   Published
  Journal: Eur. Phys. J. plus
  Year:  2013
  Pages:   128:1
  Supported by:  IPM
In this work, the quantum Hamilton-Jacobi equation, according to the Roncadelli and Schulman method, with some relevant modifications, and based on the de Broglie-Bohm approach to quantum mechanics, has been rewritten; also it has been extended to the relativistic regime. Then, based on the results, we have introduced a term as -quantum kinetic energy- which could provide a meaningful link between the Brownian theory and the nature of the wave function, once the existence of an additional real space-filling fluid has been accepted.

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