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The introduction of the quantum kinetic energy term via the Hamilton-Jacobi approach

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Abstract.

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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Authors and Affiliations

  1. Department of Physics, Islamic Azad University, Mashhad Branch, Mashhad, Iran

    Maedeh Mollai, Mohammad Razavi & Safa Jami

  2. Department of Physics, Khayyam Higher Education Institute (KHEI), Mashhad, Iran

    Ali Ahanj

  3. School of Physics, Institute for Research in Fundamental Science (IPM), Tehran, Iran

    Ali Ahanj

Authors
  1. Maedeh Mollai
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  2. Mohammad Razavi
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  3. Safa Jami
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  4. Ali Ahanj
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Mollai, M., Razavi, M., Jami, S. et al. The introduction of the quantum kinetic energy term via the Hamilton-Jacobi approach. Eur. Phys. J. Plus 128, 1 (2013). https://doi.org/10.1140/epjp/i2013-13001-9

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  • DOI: https://doi.org/10.1140/epjp/i2013-13001-9

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