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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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