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| Paper IPM / P / 13859 |
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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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