https://doi.org/10.1140/epjp/i2013-13001-9
Regular Article
The introduction of the quantum kinetic energy term via the Hamilton-Jacobi approach
1
Department of Physics, Islamic Azad University, Mashhad Branch, Mashhad, Iran
2
Department of Physics, Khayyam Higher Education Institute (KHEI), Mashhad, Iran
3
School of Physics, Institute for Research in Fundamental Science (IPM), Tehran, Iran
Received:
8
May
2012
Revised:
4
December
2012
Accepted:
6
December
2012
Published online:
7
January
2013
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.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2013
