Zeitschrift für Physik A Hadrons and Nuclei

, Volume 353, Issue 3, pp 341–343 | Cite as

On a class of solvable Pauli-Schrödinger hamiltonians

  • S. Codriansky
  • P. Cordero
  • S. Salamó


To every scalar potential for which the bound state problem of the Schrödinger equation can be (at least partially) solved it is possible to associate a new potential containing Pauli matrices and for which the associated Pauli-Schrödinger equation can also be solved to the same extent. The new system can be regarded as a finite break of the supersymmetry that the original system and its supersymmetric partner have.


11.30.Pb 03.65.Ge 


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  1. 1.
    Natanzon G.A.: Teor. Mat. Fiz.38, 146 (1979)Google Scholar
  2. 2.
    Turbiner A.V., Ushveridze A.G.: Phys. Lett. A126, 181 (1987).Google Scholar
  3. 2a.
    Turbiner A.V.: Commun. Math. Phys.118, 467 (1988)Google Scholar
  4. 3.
    Mijatovic M., Ivanovski G., Veljanoski B., Trencevski K.: Z. Phys. A345, 65 (1993), Mijatovic M., Ivanovski G., Veljanoski B.: Z. Phys. A348, 139 (1994)Google Scholar
  5. 4.
    Cordero P., Salamó S.: J. Phys. A: Math. Gen.24, 5299 (1991); Found. Phys.23, 675 (1993); J. Math. Phys.35 3301 (1994)Google Scholar
  6. 5.
    Alhassid Y., Gürsey F., Iachello F.: Phys. Rev. Lett.50, 873 (1983); Alhassid Y., Iachello F., Wu J.: Phys. Lett.56, 271 (1986); Ann. Phys.148, 346 (1983); Wu J., Alhassid Y., Gürsey F.: Ann. Phys.196, 163 (1989); Wu J., Alhassid Y.: J. Math. Phys.31, 557 (1990)Google Scholar
  7. 6.
    Barut A.O., Inomata A., Wilson R.: J. Phys. A: Math. Gen.20, 4083 (1987)Google Scholar
  8. 7.
    Cooper F., Freedman B.: Ann. Phys.146, 262 (1983)Google Scholar
  9. 8.
    Cooper F., Ginocchio J., Kahare A.: Phys. Rev. D36, 2458 (1987)Google Scholar
  10. 9.
    Calvo M., Codriansky S.: J. Math. Phys.24, 553 (1983); Calvo M.: Phys. Rev. B18, 5073 (1978); Phys. Rev. B19, 5507 (1979)Google Scholar
  11. 10.
    Cordero P., Salamó S.: Condensed Matter Theories, Vol. 7, Proto A.N., Aliaga J., Eds. Plenum Press (1992)Google Scholar
  12. 11.
    Shifman M.A.: Int. J. Mod. Phys. A4 3305 (1989); Roy P., Roy B., Roychoudhury R.: Phys. Lett. A,139, 427 (1989)Google Scholar

Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • S. Codriansky
    • 1
    • 2
  • P. Cordero
    • 3
  • S. Salamó
    • 4
  1. 1.Centro de FísicaInstituto Venezolano de Investigaciones CientíficasCaracasVenezuela
  2. 2.Departamento de Matemáticas y FísicaInstituto Pedagógico de CaracasCaracasVenezuela
  3. 3.Departamento de FísicaUniversidad de ChileSantiagoChile
  4. 4.Departamento de FísicaUniversidad Simón BolívarCaracasVenezuela

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