Skip to main content
Log in

Quaternionic Formulation of Supersymmetric Quantum Mechanics

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

Quaternionic formulation of supersymmetric quantum mechanics has been developed consistently in terms of Hamiltonians, super partner Hamiltonians, and supercharges for free particle and interacting field in one and three dimensions. Supercharges, super partner Hamiltonians and energy eigenvalues are discussed and it has been shown that the results are consistent with the results of quantum mechanics.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Adler, S.L.: Quaternionic Quantum Mechanics. Oxford University Press, London (1995)

    MATH  Google Scholar 

  2. Das, A., Okubo, S., Pernice, S.A.: Mod. Phys. Lett. A 12, 581 (1997)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  3. Soucek, J.: J. Phys. A: Math. Gen. 14, 1629 (1981)

    Article  ADS  MathSciNet  Google Scholar 

  4. Witten, E.: Nucl. Phys. B 188, 513 (1981)

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  6. Clark, T.E., Love, S.T.: Nucl. Phys. B 231, 91 (1984)

    Article  ADS  Google Scholar 

  7. De Crombrugghe, M., Rittenberg, V.: Ann. Phys. 151, 99 (1983)

    Article  Google Scholar 

  8. Andrianov, A., Borisov, N.V., Ioffe, M.V.: Phys. Lett. A 105, 19 (1984)

    Article  ADS  MathSciNet  Google Scholar 

  9. Khare, A., Maharana, J.: Nucl. Phys. B 244, 409 (1984)

    Article  ADS  MathSciNet  Google Scholar 

  10. Sukumar, C.V.: J. Phys. A: Math. Gen. 18, L57, L697 (1985)

    Article  ADS  MathSciNet  Google Scholar 

  11. Leblanc, M., Lozano, G., Min, H.: Ann. Phys. (N.Y.) 219, 328 (1992)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  12. Davies, A.J.: Phys. Rev. A 49, 714 (1994)

    Article  ADS  MathSciNet  Google Scholar 

  13. Rajput, B.S.: Indian J. Pure Appl. Phys. 36, 249 (1998)

    Google Scholar 

  14. Negi, O.P.S.: Higher dimensional supersymmetry. arXiv:hep-th/0608019

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to O. P. S. Negi.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rawat, S., Negi, O.P.S. Quaternionic Formulation of Supersymmetric Quantum Mechanics. Int J Theor Phys 48, 305–314 (2009). https://doi.org/10.1007/s10773-008-9803-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-008-9803-1

Keywords

Navigation