Separation of variables and exact solution to the Dirac equation in curvilinear orthogonal coordinates with cylindrical symmetry
DOI10.1063/1.528972zbMath0726.58067OpenAlexW2072720735MaRDI QIDQ3350364
Publication date: 1990
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.528972
symmetryasymptotic solutionsordinary differential equationsspinorscurvilinear coordinatesDirac equationcharged particlesseparation of variablesorthogonal transformationscylindrical configurationelliptical configuration
Model quantum field theories (81T10) Applications of global analysis to the sciences (58Z05) PDEs in connection with quantum mechanics (35Q40)
Cites Work
- Particle creation by black holes
- Dirac equation in external vector fields: Separation of variables
- On separable solutions of Dirac’s equation for the electron
- Matrix operator symmetries of the Dirac equation and separation of variables
- Solution of the Klein-Gordon and Dirac Equations for a Particle with a Plane Electromagnetic Wave and a Parallel Magnetic Field
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