Relativistic effects of mixed vector-scalar-pseudoscalar potentials for fermions in 1+1 dimensions
TLDR
In this article, the problem of fermions in the presence of a pseudoscalar plus a mixing of vector and scalar potentials which have equal or opposite signs is investigated.Abstract:
The problem of fermions in the presence of a pseudoscalar plus a mixing of vector and scalar potentials which have equal or opposite signs is investigated. We explore all the possible signs of the potentials and discuss their bound-state solutions for fermions and antifermions. The cases of mixed vector and scalar Poschl–Teller-like and pseudoscalar kink-like potentials, already analyzed in previous works, are obtained as particular cases.read more
Citations
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Scalar–vector–pseudoscalar Cornell potential for a spin-1/2 particle under spin and pseudospin symmetries: 1+1 dimensions
Majid Hamzavi,Ali Akbar Rajabi +1 more
TL;DR: In this paper, the Dirac equation is solved with the mixed scalar-vector-pseudoscalar Cornell potential under spin and pseudospin symmetry limits, and the corresponding eigenfunctions are given in the form of the biconfluent Heun polynomials.
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Real spectra for the non-Hermitian Dirac equation in 1+1 dimensions with the most general coupling
TL;DR: In this paper, the Dirac equation is mapped into an effective PT-symmetric Schrodinger equation, and the energy of the fermion is derived for the vector, scalar and pseudoscalar potentials.
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Stationary states of fermions in a sign potential with a mixed vector–scalar coupling
W.M. Castilho,A. S. de Castro +1 more
TL;DR: In this article, the scattering of a fermion in the background of a sign potential is considered with a general mixing of vector and scalar Lorentz structures with the scalar coupling stronger than or equal to the vector coupling under the Sturm-Liouville perspective.
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Pseudospin and spin symmetries in 1+1 dimensions: The case of the Coulomb potential
TL;DR: In this article, the problem of fermions in 1+1 dimensions in the presence of a pseudoscalar Coulomb potential plus a mixing of vector and scalar potentials which have equal or opposite signs is investigated.
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Scattering and bound states of fermions in a mixed vector–scalar smooth step potential
W.M. Castilho,A. S. de Castro +1 more
TL;DR: In this paper, the scattering of a fermion in the background of a smooth step potential is considered with a general mixing of vector and scalar Lorentz structures with the scalar coupling stronger than or equal to the vector coupling.
References
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