# 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

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#### References

SHOWING 1-10 OF 22 REFERENCES

Practical Quantum Mechanics

- Physics
- 1971

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. The… Expand

The Dirac Equation

- 2008

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 the… Expand

Advances in Nuclear Physics

- Engineering
- Nature
- 1957

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

- Nature
- 1975

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