Neutrino in the presence of gravitational fields: Separation of variables

DOI10.1063/1.529630zbMath0761.35089OpenAlexW2031947101MaRDI QIDQ4027881

Víctor M. Villalba, German V. Shishkin

Publication date: 9 March 1993

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

Full work available at URL: https://doi.org/10.1063/1.529630

zbMATH Keywords

separation of variables in the Dirac equation

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)

Related Items (12)

Solving Dirac equation using the tridiagonal matrix representation approach ⋮ Exact solutions of the Dirac equation in a nonfactorizable metric ⋮ Exact solutions of Dirac equation for neutrinos in presence of external fields ⋮ Electrically neutral Dirac particles in the presence of external fields: Exact solutions ⋮ The evolution of the Dirac field in curved space-times ⋮ An exact spinor solution in Kantowski–Sachs cosmology ⋮ Eigenvalues and eigenfunctions of the Dirac operator on spheres and pseudospheres ⋮ Exact solution of the Dirac equation for a Coulomb and scalar potential in the presence of an Aharonov–Bohm and a magnetic monopole fields ⋮ Quantum states of a trapped Dirac particle in a pseudoscalar potential ⋮ Neutrino in the presence of gravitational fields: Exact solutions ⋮ Exact solutions to the Dirac equation for neutrinos propagating in a particular Vaidya background ⋮ The Dirac particle in the presence of the tensor wave on the background of gravitation

Cites Work

• Separation of variables and quantum numbers for Weyl neutrino fields on curved space-time
• Exact solutions for coupled Einstein, Dirac, Maxwell and zero-mass scalar fields
• Interaction of Neutrinos and Gravitational Fields
• Non-factorizable separable systems and higher-order symmetries of the Dirac operator
• Exact solutions of Einstein’s equations for space-time with local rotational symmetry in which the Dirac equation separates
• Dirac equation in external vector fields: Separation of variables
• Solution of the Dirac equation in Kasner’s space-time
• Separation of variables in the Dirac equation in Stackel spaces
• Separation of variables and exact solution to Dirac and Weyl equations in Robertson–Walker space-times
• Separability of the Dirac equation in a class of perfect fluid space-times with local rotational symmetry
• Exact solutions for space-times with local rotational symmetry in which the Dirac equation separates
• Exact scalar and spinor solutions in some rotating universes
• Separation of variables and exact solution of the Dirac equation in nonstatic Minkowski spacetimes
• Separation of variables and symmetry operators for the neutrino and Dirac equations in the space-times admitting a two-parameter abelian orthogonally transitive isometry group and a pair of shearfree geodesic null congruences
• Matrix operator symmetries of the Dirac equation and separation of variables
• On the Separation of Variables for the Laplace Equation $\Delta \psi + K^2 \psi = 0$ in Two- and Three-Dimensional Minkowski Space

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