Electrically neutral Dirac particles in the presence of external fields: Exact solutions

DOI10.1063/1.530340zbMath0784.35095arXivhep-th/9307061OpenAlexW2039138327MaRDI QIDQ4276747

Víctor M. Villalba, German V. Shishkin

Publication date: 6 April 1994

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9307061

zbMATH Keywords

Dirac equationseparation of variablesspherical coordinatesexact solutions in terms of special functionselectrical neutral particles

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Solutions to PDEs in closed form (35C05)

Related Items (6)

Essential spectrum of the Dirac Hamiltonian for a spin 1/2 neutral particle with an anomalous magnetic moment in an asymptotically constant magnetic field ⋮ Exact solutions of the Dirac equation in a nonfactorizable metric ⋮ Exact solutions of Dirac equation for neutrinos in presence of external fields ⋮ Evaluation of the bound states of a quantum system via the differential quadrature method: extended to coupled differential equations ⋮ Exact solution of the Dirac equation for a Coulomb and scalar potential in the presence of an Aharonov–Bohm and a magnetic monopole fields ⋮ Quasi-exact solvability of Dirac-Pauli equation and generalized Dirac oscillators

Cites Work

• Exact solutions of the Dirac equation with surface delta interactions
• Interaction of Neutrinos and Gravitational Fields
• Dirac equation in external vector fields: Separation of variables
• On separable solutions of Dirac’s equation for the electron
• Neutrino in the presence of gravitational fields: Separation of variables
• Relativistic particles in a constant magnetic field

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