Exact solutions of Dirac equation on a 2D gravitational background

Details Exact solutions of Dirac equation on a 2D gravitational background Exact solutions of Dirac equation on a 2D gravitational background

2002-08-19

arxiv.org/abs/gr-qc/0208053v2

Phys.Lett. A322 (2004) 173-178

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, title changed, content reduced, some references removed, To be published in PLA

Scientific paper

10.1016/j.physleta.2004.01.032

We obtain classes of two dimensional static Lorentzian manifolds, which
through the supersymmetric formalism of quantum mechanics admit the exact
solvability of Dirac equation on these curved backgrounds. Specially in the
case of a modified supersymmetric harmonic oscillator the wave function and
energy spectrum of Dirac equation is given explicitly.

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