Abstract
The Schrödinger-like equation written in terms of the displacement operator is solved analytically for a inverse square plus Coulomb-like potential. Starting from the new Hamiltonian, the effects of the spatially dependent mass on the bound states and normalized wave functions of the “usual” inverse square plus Coulomb interaction are discussed.
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References
Synder H.S.: Phys. Rev. 71, 38 (1947)
Connes, A.: Noncommutative Geometry. Academic Press (1994)
Kempf A., Mangano G., Mann R.B.: Phys. Rev. D 52, 1108 (1995)
Gamboa J., Loewe M., Rojas J.C.: Phys. Rev. D 64, 067901 (2001)
von, Roos, O.: Phys. Rev. B 27, 7547 (1983)
BenDaniel D.J., Duke C.B.: Phys. Rev. 152, 683 (1966)
Dutra A.S., Almeida C.A.S.: Phys. Lett. A 275, 25 (2000)
Costa Filho R.N., Almeida M.P., Farias G.A., Andrade J.S. Jr: Phys. Rev. A 84, 050120 (2011)
Mazharimousavi S.H.: Phys. Rev. A 85, 034102 (2012)
Costa Filho R.N., Alencar G., Skagerstam B., Andrade J.S. Jr: EPL 101, 10009 (2013)
Vubangsi M., Tchoffo M., Fai L.C.: Phys. Scr. 89, 025101 (2014)
Wong C.W.: Introduction to Mathematical Physics-Methods and Concepts. Oxford University Press, New York (1991)
Abramowitz, M., Stegun, I.A. (eds.): Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Dover Publications, New York (1965)
Gradshteyn, I.S., Ryzhik, I.M.: Table of integrals, series, and products. Academic Press, New York (2007)
Dong S.H., Sun G.H.: Phys. Scr. 70, 94 (2004)
Nasser I., Abdelmonem M.S., Bahlouli H., Alhaidari A.D.: J. Phys. B 40, 4245 (2007)
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Arda, A., Sever, R. Effective Mass Quantum Systems with Displacement Operator: Inverse Square Plus Coulomb-Like Potential. Few-Body Syst 56, 697–702 (2015). https://doi.org/10.1007/s00601-015-1008-6
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DOI: https://doi.org/10.1007/s00601-015-1008-6