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Supersymmetry and coherent states for the displacement-operator-derived effective mass system

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Abstract.

Applying the supersymmetric quantum mechanics approach, we derive shape-invariant trigonometric potentials for the displacement-operator-derived effective mass Hamiltonian. By linearizing the algebra resulting from SUSY-QM factorization of the constructed systems, their coherent states are defined and shown to be exponentially dependent on a function of the quantum numbers.

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References

  1. C. Quesne, V.M. Tkachuk, J. Phys. A: Math. Gen. 37, 4267 (2004)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  2. L. Sierra, E. Lipparini, Europhys. Lett. 40, 667 (1997)

    Article  ADS  Google Scholar 

  3. F.S.A. Cavalcante, R.N. Costa Filho, J. Ribeiro Filho, C.A.S. De Almeida, C.N. Freire, Phys. Rev. B 55, 1326 (1997)

    Article  ADS  Google Scholar 

  4. M. Barranco, M. Pi, S.M. Gatica, E.S. Hernandez, J. Navarro, Phys. Rev. B 56, 8997 (1997)

    Article  ADS  Google Scholar 

  5. C. Quesne, B. Bagchi, A. Banerjee, V.M. Tkachuk, Bulg. J. Phys. 33, 308 (2006)

    MATH  MathSciNet  Google Scholar 

  6. G. Ovando, J. Morales, J.J. Pena, G. Ares De Parga, Open Appl. Math. J. 3, 29 (2009)

    Article  MathSciNet  Google Scholar 

  7. A.R. Plastino, M. Casas, A. Plastino, Phys. Lett. A 281, 297 (2001)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  8. S. Cruz y Cruz, Trends Math. 2013, 229 (2013)

    Google Scholar 

  9. S.K. Moayedi, F. Abraham, M. Solimannejad, J. Mol. Struct. THEOCHEM 663, 15 (2003)

    Article  Google Scholar 

  10. H. Panahi, Z. Bakhshi, Acta Phys. Pol. B 41, 11 (2010)

    Google Scholar 

  11. A. de Souza Dutra, C.A.S. Almeida, Phys. Lett. A 275, 25 (2000)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  12. R.N. Costa Filho, M.P. Almeida, G.A. Farias, J.S. Andrade Jr., Phys. Rev. A 84, 050102 (2011)

    Article  ADS  Google Scholar 

  13. M. Vubangsi, M. Tchoffo, L.C. Fai, Phys. Scr. 89, 025101 (2014)

    Article  ADS  Google Scholar 

  14. M. Tchoffo, M. Vubangsi, L.C. Fai, Phys. Scr. 89, 105201 (2014)

    Article  ADS  Google Scholar 

  15. H. Weyl, Theory of Groups and Quantum Mechanics (Dover, New York, 1955)

  16. W. Miller, Lie Theory and Special Functions (Academic, New York, 1968)

  17. V. Milanovic, Z. Ikonic, J. Phys. A: Math. Gen. 32, 7001 (1999)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  18. B. Roy, Europhys. Lett. 72, 1 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  19. F. Cooper, A. Khare, U. Sukhatme, Supersymmetry in Quantum Mechanics (World Scientific, Singapore, 2001)

  20. B. Mielnik, O. Rosas-Ortiz, J. Phys. A: Math. Gen. 37, 10007 (2004)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  21. A.A. Andrianov, F. Cannata, J. Phys. A: Math. Gen. 37, 10297 (2004)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  22. S.H. Dong, Factorization Method in Quantum Mechanics (Springer, The Netherlands, 2007)

  23. D.J. BenDaniel, C.B. Duke, Phys. Rev. B 125, 683 (1966)

    Article  Google Scholar 

  24. T.L. Li, K.J. Kuhn, Phys. Rev. B 47, 12760 (1993)

    Article  ADS  Google Scholar 

  25. T. Gora, F. Williams, Phys. Rev. B 30, 1179 (1969)

    Article  Google Scholar 

  26. M. Vubangsi, M. Tchoffo, L.C. Fai, Eur. Phys. J. Plus 129, 105 (2014)

    Article  Google Scholar 

  27. O. Mustafa, arXiv:1208.2109v2 [quant-ph]

  28. A. de Souza Dutra, C.A.S. Almeida, Phys. Lett. A. 275, 25 (2000)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  29. O. Mustafa, S.H. Mazharimousavi, Phys. Lett. A. 373, 325 (2009)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  30. F. Cooper, A. Khare, U. Sukhatme, Phys. Rep. 251, 267 (1995)

    Article  ADS  MathSciNet  Google Scholar 

  31. L. Gendenshtein, Piz. Zh. Eksp. Teor. Fiz. 38, 299 (1983) (JETP Lett. 38

    Google Scholar 

  32. K. Ramazan, T. Hayriye, Ann. Phys. (Leipzig) 12, 684 (2003)

    Article  MATH  Google Scholar 

  33. R.J. Glauber, Phys. Rev. 131, 2766 (1963)

    Article  ADS  MathSciNet  Google Scholar 

  34. M. Novaes, M.A.M. de Aguiar, J.E.M. Hornos, J. Phys. A: Math. Gen. 36, 5773 (2003)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  35. J. Davidand, C. Fernandez, AIP Conf. Proc. 3, 1287 (2010)

    Google Scholar 

  36. Dusan Popov, J. Phys. A: Math. Gen. 34, 1 (2001)

    Article  Google Scholar 

  37. A.O. Barut, L. Girardello, Commun. Math. Phys. 21, 41 (1971)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  38. C. Aragone, G. Guerri, S. Salamo, J.N. Tani, J. Phys. A: Math. Nucl. Gen. 7, L149 (1974)

    Article  ADS  Google Scholar 

  39. A.M. Perelomov, Commun. Math. Phys. 26, 222 (1972)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  40. J. David, C. Fernández, V. Hussin, J. Phys. A: Math. Gen. 32, 3603 (1999)

    Article  MATH  Google Scholar 

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Authors and Affiliations

  1. Mesoscopic and Multilayer Structures Laboratory, University of Dschang, P.O. Box 417, Dschang, Cameroon

    M. Vubangsi, M. Tchoffo & L. C. Fai

  2. Department of Theoretical Physics, Saint Petersburg State University, Saint Petersburg, Russia

    Yu. M. Pis’mak

Authors
  1. M. Vubangsi
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  2. M. Tchoffo
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  3. L. C. Fai
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  4. Yu. M. Pis’mak
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Correspondence to M. Vubangsi.

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Vubangsi, M., Tchoffo, M., Fai, L.C. et al. Supersymmetry and coherent states for the displacement-operator-derived effective mass system. Eur. Phys. J. Plus 130, 7 (2015). https://doi.org/10.1140/epjp/i2015-15007-7

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