Advertisement

International Journal of Theoretical Physics

, Volume 48, Issue 4, pp 986–993 | Cite as

Shape Invariant Potential and Semi-Unitary Transformations (SUT) for Supersymmetry Harmonic Oscillator in T 4-Space

  • P. S. Bisht
  • O. P. S. Negi
Article
  • 35 Downloads

Abstract

Constructing the Semi-Unitary Transformations (SUT) to obtain the supersymmetric partner Hamiltonians for a one dimensional harmonic oscillator, it has been shown that under this transformation the supersymmetric partner loses its ground state in T 4-space while its eigen functions constitute a complete orthonormal basis in a subspace of full Hilbert space.

Keywords

Supersymmetry Superluminal Transformations Semi Unitary Transformations 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Grendenshtein, L.: JETP Lett. 38, 356 (1983) ADSGoogle Scholar
  2. 2.
    Bilnaiuk, O.M.P., Deshpande, V.K., Sudarshan, E.C.G.: Am. J. Phys. 30, 718 (1962) CrossRefADSGoogle Scholar
  3. 3.
    Feinberg, G.: Phys. Rev. 159, 1089 (1967) CrossRefADSGoogle Scholar
  4. 4.
    Recami, E., Mignani, R.: Riv. Nuovo Cimento 4, 209 (1974) CrossRefGoogle Scholar
  5. 5.
    Antippa, A.F., Everett, E.: Phys. Rev. D 8, 2352 (1973) CrossRefADSGoogle Scholar
  6. 6.
    Antippa, A.F., Everett, E.: Phys. Rev. D 11, 724 (1975) CrossRefMathSciNetGoogle Scholar
  7. 7.
    Recami, E., Mignani, R.: Lett. Nuovo Cimento 4, 144 (1972) CrossRefGoogle Scholar
  8. 8.
    Recami, E., Mignani, R.: Lett. Nuovo Cimento 9, 367 (1973) Google Scholar
  9. 9.
    Recami, E., Maccarrone, G.D.: Lett. Nuovo Cimento 28, 151 (1980) CrossRefMathSciNetGoogle Scholar
  10. 10.
    Recami, E.: Riv. Nuovo Cimento 9, 1 (1986) MathSciNetGoogle Scholar
  11. 11.
    Recami, E.: Found. Phys. 17, 239 (1987) CrossRefADSMathSciNetGoogle Scholar
  12. 12.
    Negi, O.P.S., Rajput, B.S.: Lett. Nuovo Cimento 32, 117 (1981) CrossRefMathSciNetGoogle Scholar
  13. 13.
    Negi, O.P.S., Rajput, B.S.: J. Math. Phys. 23, 1964 (1982) CrossRefADSMathSciNetGoogle Scholar
  14. 14.
    Rajput, B.S., Purohit, K.D., Negi, O.P.S.: Ind. J. Pure Appl. Phys. 19, 1081 (1981) Google Scholar
  15. 15.
    Rajput, B.S., Purohit, K.D., Negi, O.P.S.: Ind. J. Pure Appl. Phys. 20, 22 (1982) MathSciNetGoogle Scholar
  16. 16.
    Negi, O.P.S., Rajput, B.S.: Ind. J. Pure Appl. Phys. 21, 28 (1983) MathSciNetGoogle Scholar
  17. 17.
    Negi, O.P.S., Rajput, B.S.: Ind. J. Pure Appl. Phys. 21, 232 (1983) MathSciNetGoogle Scholar
  18. 18.
    Pant, M.C., Bisht, P.S., Negi, O.P.S., Rajput, B.S.: Ind. J. Pure Appl. Phys. 38, 440 (2000) Google Scholar
  19. 19.
    Pant, M.C., Bisht, P.S., Negi, O.P.S., Rajput, B.S.: Can. J. Phys. 78, 303 (2000) CrossRefADSGoogle Scholar
  20. 20.
    Chandola, H.C., Rajput, B.S.: J. Math. Phys. 26, 208 (1985) CrossRefADSMathSciNetGoogle Scholar
  21. 21.
    Bora, S., Rajput, B.S.: Pramana (India) 44, 501 (1995) CrossRefADSGoogle Scholar
  22. 22.
    Demers, P.: Can. J. Phys. 53, 1687 (1975) MATHMathSciNetGoogle Scholar
  23. 23.
    Kalitzin, N.: Lett. Nuovo Cimento 16, 449 (1967) Google Scholar
  24. 24.
    Cole, E.A.B.: Nuovo Cimento A 44, 157 (1978) CrossRefMathSciNetGoogle Scholar
  25. 25.
    Ziino, G.: Lett. Nuovo Cimento 24, 171 (1979) CrossRefMathSciNetGoogle Scholar
  26. 26.
    Pappas, P.T.: Lett. Nuovo Cimento 22, 601 (1978) CrossRefADSMathSciNetGoogle Scholar
  27. 27.
    Cooper, F., Khare, A., Sukhatme, U.: Phys. Rep. 251, 267 (1995) CrossRefMathSciNetGoogle Scholar
  28. 28.
    Bisht, P.S., Negi, O.P.S.: Int. J. Theor. Phys. (2008). doi: 10.1007/s10773-008-9839-2 Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.Department of PhysicsKumaun UniversityAlmoraIndia

Personalised recommendations