arXiv subjects

V. G. C. S. dos Santos

Publications and source records attributed to V. G. C. S. dos Santos.

2 recordsLinked to original sources

arXiv2009

Real spectra for non-Hermitian Dirac equation in 1+1 dimensions with a most general coupling

The most general combination of couplings of fermions with external potentials in 1+1 dimensions, must include vector, scalar and pseudoscalar potentials. We consider such a mixing of potentials in a PT-symmetric time-independent Dirac equation. The Dirac equation is mapped into an effective PT-symmetric Schrödinger equation. Despite the non-hermiticity of the effective potential, we find real energies for the fermion.

quant-ph↗

arXiv2002

Method of approximation for potentials in impenetrable boxes: Harmonic Oscillator and Coulomb potentials

In this work we develop an approach to obtain analytical expressions for potentials in an impenetrable box. It is illustrated through the particular cases of the harmonic oscillator and the Coulomb potential. In this kind of system the energy expression respect the correct quantum limits, which is a very important quality. The similarity of this kind of problem with the quasi exactly solvable potentials is explored in order to accomplish our goals.

hep-th↗