Author(s)

Arquimedes Ruiz-Columbié¹, Hira Farooq², Luis Grave de Peralta^2,3*

¹Wind Energy Program, Texas Tech University, Lubbock, TX, USA.
²Department of Physics and Astronomy, Texas Tech University, Lubbock, TX, USA.
³Nano Tech Center, Texas Tech University, Lubbock, TX, USA.

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.

Quantum Mechanics, Bohm Quantum Mechanics, Quantum Hydrodynamics, Relativistic Quantum Mechanics

Ruiz-Columbié, A. , Farooq, H. and de Peralta, L. (2021) Direct Relativistic Extension of the Madelung-de-Broglie-Bohm Reformulations of Quantum Mechanics and Quantum Hydrodynamics. Journal of Modern Physics, 12, 1418-1434. doi: 10.4236/jmp.2021.1210085.