Klein-Gordon Equation in Hydrodynamical Form
Journal Article
·
· Journal of Mathematical Physics
- ORNL
We follow and modify the Feshbach-Villars formalism by separating the Klein-Gordon equation into two coupled time-dependent Schroedinger equations for the particle and antiparticle wave functions with positive probability densities. We find that the equation of motion for the probability densities is in the form of relativistic hydrodynamics where various forces have their physical and classical counterparts. An additional element is the presence of the quantum stress tensor that depends on the derivatives of the amplitude of the wave function.
- Research Organization:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC)
- DOE Contract Number:
- DE-AC05-00OR22725
- OSTI ID:
- 1006455
- Journal Information:
- Journal of Mathematical Physics, Vol. 51, Issue 12; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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