×

zbMATH — the first resource for mathematics

Supersymmetric variational energies of 3d confined potentials. (English) Zbl 1065.81548
Summary: Within the approach of supersymmetric quantum mechanics associated with the variational method a recipe to construct the superpotential of three-dimensional confined potentials in general is proposed. To illustrate the construction, the energies of the harmonic oscillator and the Hulthén potential, both confined in three dimensions are evaluated. Comparison with the corresponding results of other approximative and exact numerical results is presented.

MSC:
81Q60 Supersymmetry and quantum mechanics
PDF BibTeX XML Cite
Full Text: DOI arXiv
References:
[1] Witten, E., Nucl. phys. B, 188, 513, (1981)
[2] Cooper, F.; Khare, A.; Sukhatme, U.P., Supersymmetry in quantum mechanics, (2001), World Scientific Singapore · Zbl 0988.81001
[3] Drigo Filho, E.; Ricotta, R.M., Mod. phys. lett. A, 10, 1613, (1995)
[4] Drigo Filho, E.; Ricotta, R.M., Phys. lett. A, 269, 269, (2000)
[5] Drigo Filho, E.; Ricotta, R.M., Mod. phys. lett. A, 15, 1253, (2000)
[6] Drigo Filho, E.; Ricotta, R.M., Phys. lett. A, 299, 137, (2002)
[7] Kostov, M.K.; Cole, M.W.; Mahan, G.D.
[8] Gleisberg, F.; Wonneberger, W.
[9] Yildirim, T.; Harris, A.B.
[10] de Castro, A.S.; Pereira, W.G., Phys. lett. A, 308, 131, (2003)
[11] Aguilera-Navarro, V.C.; Gomes, J.F.; Zimerman, A.H.; Ley Koo, E., J. phys. A: math. gen., 16, 2943, (1983)
[12] Marin, J.L.; Cruz, S.A.; Marin, J.L.; Cruz, S.A., J. phys. B: at. mol. opt. phys., Am. J. phys., 59, 931, (1991)
[13] Sinha, A.; Roychoudhury, R.; Varshni, Y.P., Can. J. phys., 79, 939, (2001)
[14] Sinha, A.; Roychoudhury, R.; Varshni, Y.P., Can. J. phys., 78, 141, (2000)
[15] Sinha, A.
[16] Fernández, D.J.; Negro, J.; del Olmo, M.A., Ann. phys., 252, 386, (1996)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.