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Direct Relativistic Extension of the Madelung-de-Broglie-Bohm Reformulations of Quantum Mechanics and Quantum Hydrodynamics
Wind Energy Program, Texas Tech University, Lubbock, TX, USA
Department of Physics and Astronomy, Texas Tech University, Lubbock, TX, USA
Nano Tech Center, Texas Tech University, Lubbock, TX, USA
- 1 Wind Energy Program, Texas Tech University, Lubbock, TX, USA
- 2 Department of Physics and Astronomy, Texas Tech University, Lubbock, TX, USA
- 3 Nano Tech Center, Texas Tech University, Lubbock, TX, USA
Journal of Modern Physics·Volume 12 (2021)·Pages 1418–1434·Published 3 August 2021·DOI10.4236/jmp.2021.1210085
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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.
KeywordsQuantum MechanicsBohm Quantum MechanicsQuantum HydrodynamicsRelativistic Quantum Mechanics
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