TITLE:
Direct Relativistic Extension of the Madelung-de-Broglie-Bohm Reformulations of Quantum Mechanics and Quantum Hydrodynamics
AUTHORS:
Arquimedes Ruiz-Columbié, Hira Farooq, Luis Grave de Peralta
KEYWORDS:
Quantum Mechanics, Bohm Quantum Mechanics, Quantum Hydrodynamics, Relativistic Quantum Mechanics
JOURNAL NAME:
Journal of Modern Physics,
Vol.12 No.10,
August
9,
2021
ABSTRACT: The basic equations of the non-relativistic quantum mechanics with trajectories and quantum hydrodynamics are extended to the relativistic domain. This is achieved by using a Schr?dinger-like equation, which describes a particle with mass and spin-0 and with the correct relativistic relation between its linear momentum and kinetic energy. Some simple but instructive free particle examples are discussed.