Skip to main content
SpringerLink
Log in

Effective mass schrödinger equation for exactly solvable class of one-dimensional potentials

  • Published:
Journal of Mathematical Chemistry Aims and scope Submit manuscript

We deal with the exact solutions of Schrödinger equation characterized by position-dependent effective mass via point canonical transformations. The Morse, Pöschl-Teller, and Hulthén type potentials are considered, respectively. With the choice of position-dependent mass forms, exactly solvable target potentials are constructed. Their energy of the bound states and corresponding wavefunctions are determined exactly.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Alhaidari A.D. (2002). Phys. Rev. A 66: 042116

    Article  Google Scholar 

  2. Roy B, and Roy P, Phys. Lett. A 340 (2005) 70:arXiv:quant-ph/0106028

  3. Yu J, Dong S.H. (2004). Phys. Lett. A 325: 194

    Article  CAS  Google Scholar 

  4. Chen G, Chen Z.D. (2004). Phys. Lett. A 331: 312

    Article  CAS  Google Scholar 

  5. Yu J, Dong S.H., Sun G.H. (2004). Phys. Lett. A 322: 290

    Article  CAS  Google Scholar 

  6. Bencheikh K, Berkane K, Bouizane S, (2004). J. Phys. A 37: 10719

    Article  CAS  Google Scholar 

  7. Milanović V., Iković Z., (1999). J. Phys. A 32:7001

    Article  Google Scholar 

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

    Article  CAS  Google Scholar 

  9. Ou Y.C., Cao Z.Q., Shen Q.H. (2004). J. Phys. A 37: 4283

    Article  Google Scholar 

  10. Bagchi B, Gorain P, Quesne C, and Roychoudhury R, Mod. Phys. Lett. A 19 (2004) 2765; Czech J. Phys. 54 (2004) 1019

  11. Bagchi B, Banerjee A, Quesne C, Tkachuk V.M. (2005). J. Phys. A 38: 2929

    Article  Google Scholar 

  12. Bastard G, (1989). Wave Mechanics Applied to Heterostructure. Les Edition de Physique, Les Ulis

    Google Scholar 

  13. Saavedra de F.A., Boronat J, Polls A, Fabrocini S (1994). Phys. Rev. B 50: 4282

    Article  Google Scholar 

  14. Serra L.I., Lipparini E, (1997). Eur. Phys. Lett 40: 667

    Article  CAS  Google Scholar 

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

    Article  CAS  Google Scholar 

  16. Puente A, Serra L, Casas M, (1994). Z. Phys. D 31: 283

    Article  CAS  Google Scholar 

  17. Ring P, Schuck P,(1980). The Nuclear Many-Body Problem. Springer-Verlag, New York

    Google Scholar 

  18. Lévy Leblond J.M., (1995). Phys. Rev. A 52: 1845

    Article  Google Scholar 

  19. Chetouani L, Dekar L, Hammann T.F. (1995). Phys. Rev. A 52: 82

    Article  CAS  Google Scholar 

  20. Koç R., Koca M, (2003). J. Phys. A 36: 8105

    Article  Google Scholar 

  21. Roy B, Roy P (2002). J. Phys. A 35: 3961

    Article  Google Scholar 

  22. Dekar L, Chetouani L, and Hammann T.F. Phys. Rev. A 59 (1999) 107; J. Math. Phys. 39 (1998) 2551.

    Google Scholar 

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

    Article  Google Scholar 

  24. Plastino A.R., Rigo A, Casas M, Garcias F, Plastino A, (1999). Phys. Rev. A 60: 4318

    Article  CAS  Google Scholar 

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

    Article  CAS  Google Scholar 

  26. Gönül B., Gönül B., Tutcu D, özer O. (2002). Mod. Phys. Lett. A 17: 2057

    Article  Google Scholar 

  27. Gönül B., özer O., Gönül B., üzgün F. (2002). Mod. Phys. Lett. A 17: 2354

    Google Scholar 

  28. Montemayer R, (1987). Phys. Rev. A 36: 1562

    Article  Google Scholar 

  29. Junker G, (1990). J. Phys. A 23: L881

    Article  Google Scholar 

  30. De R, Dutt R, Sukhatme U (1992). J. Phys. A 25: L843

    Article  Google Scholar 

  31. Dutt R, Khare A, Varshni Y.P. (1995). J. Phys. A 28: L107

    Article  Google Scholar 

  32. Dong S.H., Lozada-Cassou M., (2005). Phys. Lett. A 337: 313

    Article  CAS  Google Scholar 

  33. Jia C.S., Diao Y.F., Li M, Yang Q.B., Sun L.T., Huang R.Y. (2004). J. Phys. A 37: 11275

    Article  Google Scholar 

  34. Jiang L, Yi L.Z., Jia C.S. (2005). Phys. Lett. A 345: 279

    Article  CAS  Google Scholar 

  35. M. Aktaş and Sever R, Theor. Chem. Acc. (THEOCHEM) 710 (2004) 219: arXiv: hep-th/0409139

  36. Flügge S., (1971). Practical Quantum Mechanics. Springer-Verlag, Berlin

    Google Scholar 

  37. Arai A, (1991). J. Math. Anal. Appl. 158: 63

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Faculty of Arts and Sciences, Kırıkkale University, 71450, Kırıkkale, Turkey

    Metin Aktaş

  2. Department of Physics, Middle East Technical University, 06531, Ankara, Turkey

    Ramazan Sever

Authors
  1. Metin Aktaş
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ramazan Sever
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ramazan Sever.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Aktaş, M., Sever, R. Effective mass schrödinger equation for exactly solvable class of one-dimensional potentials. J Math Chem 43, 92–100 (2008). https://doi.org/10.1007/s10910-006-9181-y

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10910-006-9181-y

Keywords

PACS Numbers

Search

Navigation