Stationary states of fermions in a sign potential with a mixed vector-scalar coupling
arXiv:1310.8473 · doi:10.1016/j.aop.2013.10.008
Abstract
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. When the vector coupling and the scalar coupling have different magnitudes, an isolated solution shows that the fermion under a strong potential can be trapped in a highly localized region without manifestation of Klein's paradox. It is also shown that the lonely bound-state solution disappears asymptotically as one approaches the conditions for the realization of spin and pseudospin symmetries.
4 figures
References in corpus (15)
- Pseudospin symmetry in single particle resonant states
- Relating pseudospin and spin symmetries through charge conjugation and chiral transformations: the case of the relativistic harmonic oscillator
- Perturbative interpretation of relativistic symmetries in nuclei
- Pseudospin symmetry in supersymmetric quantum mechanics: Schrödinger equations
- Spin symmetry in Dirac negative energy spectrum in density-dependent relativistic Hartree-Fock theory
- Spin and pseudospin symmetries and the equivalent spectra of relativistic spin-1/2 and spin-0 particles
- Spin and pseudospin symmetries of the Dirac equation with confining central potentials
- Spin and Pseudospin symmetries in the Dirac equation with central Coulomb potentials
- Relating pseudospin and spin symmetries through chiral transformation with tensor interaction
- Relativistic Effects of Mixed Vector-Scalar-Pseudoscalar Potentials for Fermions in 1+1 Dimensions
- Dynamical symmetry of Dirac hydrogen atom with spin symmetry and its connection with Ginocchio's oscillator
- Bounded solutions of fermions in the background of mixed vector-scalar Pöschl-Teller-like potentials
- Confinement of spin-0 and spin-1/2 particles in a mixed vector-scalar coupling with unequal shapes for the potentials
- Bound states of bosons and fermions in a mixed vector-scalar coupling with unequal shapes for the potentials
- Unified Treatment of Mixed Vector-Scalar Screened Coulomb Potentials for Fermions
Cited by in corpus (5)
- Scattering and bound states of fermions in a mixed vector-scalar smooth step potential
- Fermions in the background of mixed vector-scalar-pseudoscalar square potentials
- Unsuitable use of spin and pseudospin symmetries with a pseudoscalar Cornell potential
- On the Klein's paradox in the presence of a scalar potential
- Fermions embedded in a scalar-vector kink-like smooth potential