Bounded solutions of fermions in the background of mixed vector-scalar Pöschl-Teller–like potentials

@article{Castro2006BoundedSO,
  title={Bounded solutions of fermions in the background of mixed vector-scalar P{\"o}schl-Teller–like potentials},
  author={Luis B. Castro and A. S. M. de Castro and Marcelo B. Hott},
  journal={EPL},
  year={2006},
  volume={77},
  pages={20009}
}
The problem of a fermion subject to a convenient mixing of vector and scalar potentials in a two-dimensional space-time is mapped into a Sturm-Liouville problem. For a specific case which gives rise to an exactly solvable effective modified Poschl-Teller potential in the Sturm-Liouville problem, bound-state solutions are found. The behaviour of the upper and lower components of the Dirac spinor is discussed in detail and some unusual results are revealed. The Dirac delta potential as a limit of… Expand
16 Citations

Figures from this paper

Stationary states of fermions in a sign potential with a mixed vector–scalar coupling
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 equalExpand
Scattering and bound states of fermions in a mixed vector–scalar smooth step potential
Abstract 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 orExpand
RELATIVISTIC EFFECTS OF MIXED VECTOR-SCALAR-PSEUDOSCALAR POTENTIALS FOR FERMIONS IN 1+1 DIMENSIONS
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 theExpand
Mixed scalar-vector-pseudoscalar Hulthén potential in view of spin and pseudospin symmetries: 1 + 1 dimensions
Abstract.In this paper, we present exact solutions of the Dirac equation with the mixed scalar-vector-pseudoscalar Hulthén potential under spin and pseudospin (p-spin) symmetry limits in 1 + 1Expand
Scalar–vector–pseudoscalar Cornell potential for a spin-1/2 particle under spin and pseudospin symmetries: 1+1 dimensions
Abstract The Cornell potential consists of Coulomb and linear potentials, i.e. − a / x + b x , that has received a great deal of attention in particle and nuclear physics. In this paper, we presentExpand
Real spectra for the non-Hermitian Dirac equation in 1+1 dimensions with the most general coupling
Abstract 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 ofExpand
APPROXIMATE BOUND DIRAC STATES FOR PSEUDOSCALAR HULTHÉN POTENTIAL
In this paper, we present approximate analytical solutions of the Dirac equation with the pseudoscalar Hulthen potential under spin and pseudospin (p-spin) symmetry limits in (3+1) dimensions. TheExpand
On the 2D Dirac oscillator in the presence of vector and scalar potentials in the cosmic string spacetime in the context of spin and pseudospin symmetries
The Dirac equation with both scalar and vector couplings describing the dynamics of a two-dimensional Dirac oscillator in the cosmic string spacetime is considered. We derive the Dirac-Pauli equationExpand
Dirac bound states of anharmonic oscillator in external fields
We explore the effect of the external magnetic and Aharonov-Bohm (AB) flux fields on the energy levels of Dirac particle subjects to mixed scalar and vector anharmonic oscillator field in theExpand
Bound Dirac states for pseudoscalar Cornell potential: 3+1 dimensions
The Cornell potential consists of Coulomb and linear potentials, i.e.−a/r + br, that it has received a great deal of attention in particle physics. In this paper, we present exact solutions of theExpand
...
1
2
...

References

SHOWING 1-10 OF 22 REFERENCES
Practical Quantum Mechanics
Part I: One-Body Problems without Spin. One-Dimensional Problems. Problems of Two or Three Degrees of Freedom without Spherical Symmetry. The Angular Momentum. Potentials of Spherical Symmetry. TheExpand
The Dirac Equation
Dirac's discovery of a relativistic wave equation for the electron was published in 1928 soon after the concept of intrisic spin angular momentum was proposed by Goudsmit and Uhlenbeck to explain theExpand
Advances in Nuclear Physics
Progress in Nuclear PhysicsVol. 5. Edited by Prof. O. R. Frisch. (Progress Series.) Pp. vii + 325. (London and New York: Pergamon Press, Ltd., 1956.) 80s. net; 12.50 dollars.
Quantum mechanics
Quantum Mechanics for Organic Chemists.By Howard E. Zimmerman. Pp. x + 215. (Academic: New York and London, May 1975.) $16.50; £7.90.
Practical Quantum Mechanics (Springer-Verlag, Berlin
  • 1999
Phys. Lett. A
  • Phys. Lett. A
  • 2006
Ann. Phys
  • Ann. Phys
  • 2005
Phys. Lett. A
  • Phys. Lett. A
  • 2004
Am. J. Phys
  • Am. J. Phys
  • 2003
Phys. Lett. A
  • Phys. Lett. A
  • 2002
...
1
2
3
...