Exact solutions of Dirac equation on a 2D gravitational background

Abstract

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.

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

References in corpus (1)

• Families of exact solutions of a 2D gravity model minimally coupled to electrodynamics

Cited by in corpus (6)

• Ordering ambiguity versus representation
• Fermions in the Rindler spacetime
• The Dirac Equation in (1+2)-dimensional Gürses space-time backgrounds
• Combining The Tunneling And Anomaly Phenomena In Deriving the Gravitational Anomaly
• Exact solutions of Dirac equation on (1+1)-dimensional spacetime coupled to a static scalar field
• Zero energy states of Dirac equation in $(2+1)$-dimensional curved spacetime