Noncentral potentials and spherical harmonics using supersymmetry and shape invariance

American Journal of Physics

Volumn 65, Issue 5, 1997, Pages 400-403

  Dutt, Ranabir ^a   Gangopadhyaya, Asim ^b   Sukhatme, Uday P ^c  

^a VISVA BHARATI UNIVERSITY   (India)

^b LOYOLA UNIVERSITY CHICAGO   (United States)

^c UNIVERSITY OF ILLINOIS AT CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031528459     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.18551     Document Type: Article

References (19)

1. E. Witten, "Dynamical breaking of supersymmetry," Nucl. Phys. B 188, 513-554 (1981).
2. F. Cooper and B. Freedman, "Aspects of supersymmetric quantum mechanics," Ann. Phys. NY 146, 262-288 (1983).
3. For a recent review of supersymmetric quantum mechanics and additional references see F. Cooper, A. Khare, and U. Sukhatme, "Supersymmetry and quantum mechanics," Phys. Rep. 251, 267-385 (1995).
4. L. Gendenshtein, "Derivation of exact spectra of the Schrodinger equation by means of supersymmetry," Pis'ma Zh. Eksp. Teor. Fiz. 38, 299-302 (1983) [JETP Lett. 38, 356-359 (1983)].
5. L. Gendenshtein, "Derivation of exact spectra of the Schrodinger equation by means of supersymmetry," Pis'ma Zh. Eksp. Teor. Fiz. 38, 299-302 (1983) [JETP Lett. 38, 356-359 (1983)].
6. R. Dutt, A. Khare, and U. P. Sukhatme, "Supersymmetry, shape invariance and exactly solvable potentials," Am. J. Phys. 56, 163-168 (1988).
7. M. Kibler and T. Negadi, "Motion of a particle in a Coulomb plus Bohm-Aharonov potential," Phys. Lett. A 124, 42-46 (1987).
8. A. Guha and S. Mukherjee, "Exact solution of the Schrödinger equation with noncentral parabolic potentials," J. Math. Phys. 28, 840-843 (1989).
9. Gh.E. Draganescu, C. Campiogotto, and M. Kibler. "On a generalized Aharonov-Bohm plus Coulomb system," Phys. Lett. A 170, 339-343 (1992).
10. M. Kibler and C. Campiogotto, "On a generalized Aharonov-Bohm plus oscillator system," Phys. Lett. A 181, 1-6 (1993), and references contained therein.
11. V. M. Villalba, "Bound states of the hydrogen atom in the presence of a magnetic monopole field and an Aharonov-Bohm potential," Phys. Lett. A 193, 218-222 (1994).
12. Y. Aharonov and D. Bohm, "Significance of electromagnetic potentials in quantum theory," Phys. Rev. 115, 485-491 (1959).
13. P. A. M. Dirac, "Quantized singularities in the electromagnetic field," Proc. R. Soc. London, Ser. A 133, 60-72 (1931).
14. L. I. Schiff, Quantum Mechanics, 3rd ed. (McGraw-Hill, New York, 1968), E. Merzbacher, Quantum Mechanics, 2nd ed. (Wiley, New York, 1970), L. Landau and E. M. Lifshitz, Quantum Mechanics, Non-relativistic Theory, 2nd ed. (Addison-Wesley, Reading, MA, 1965).
15. L. I. Schiff, Quantum Mechanics, 3rd ed. (McGraw-Hill, New York, 1968), E. Merzbacher, Quantum Mechanics, 2nd ed. (Wiley, New York, 1970), L. Landau and E. M. Lifshitz, Quantum Mechanics, Non-relativistic Theory, 2nd ed. (Addison-Wesley, Reading, MA, 1965).
16. L. I. Schiff, Quantum Mechanics, 3rd ed. (McGraw-Hill, New York, 1968), E. Merzbacher, Quantum Mechanics, 2nd ed. (Wiley, New York, 1970), L. Landau and E. M. Lifshitz, Quantum Mechanics, Non-relativistic Theory, 2nd ed. (Addison-Wesley, Reading, MA, 1965).
17. L. Chetonani, L. Guechi, and T. F. Harman, "Exact path integral solution of the Coulomb plus Aharonov-Bohm potential," J. Math. Phys. 30, 655-658 (1989).
18. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1970); G. Arfken, Mathematical Methods for Physicists (Academic, New York, 1995), 4th ed.
19. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1970); G. Arfken, Mathematical Methods for Physicists (Academic, New York, 1995), 4th ed.