Direct Relativistic Extension of the Madelung-de-Broglie-Bohm Reformulations of Quantum Mechanics and Quantum Hydrodynamics  

作　　者：Arquimedes Ruiz-Columbié Hira Farooq Luis Grave de Peralta Arquimedes Ruiz-Columbié;Hira Farooq;Luis Grave de Peralta(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)

机构地区：[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

出　　处：《Journal of Modern Physics》2021年第10期1418-1434,共17页现代物理（英文）

摘　　要：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<span style="white-space:nowrap;">?</span>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.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<span style="white-space:nowrap;">?</span>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.

关 键 词：Quantum Mechanics Bohm Quantum Mechanics Quantum Hydrodynamics Relativistic Quantum Mechanics 

分 类 号：O41[理学—理论物理]