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Second invariant for two-dimensional classical super systems

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Abstract

Construction of superpotentials for two-dimensional classical super systems (forN > 2) is carried out. Some interesting potentials have been studied in their super form and also their integrability.

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References

  1. E T Whittaker,Analytical dynamics of particle and rigid bodies (Cambridge University Press, London, 1960) p. 332

    Google Scholar 

  2. S C Mishra, R S Kaushal and K C Tripathy,J. Math. Phys. 25, 2217 (1984)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  3. R S Kaushal, S C Mishra and K C Tripathy,Phys. Lett. A102, 7 (1984)

    ADS  MathSciNet  Google Scholar 

  4. R S Kaushal, S C Mishra and K C Tripathy,J. Math. Phys. 26, 420 (1985)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  5. C R Holt,J. Math. Phys. 23, 1037 (1982)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  6. E D’Hoker and L Vinet,Lett. Math. Phys. 8, 439 (1989)

    Article  MathSciNet  Google Scholar 

  7. L Bouguiax, P Dauby and V Hussain,J. Math. Phys. 28, 447 (1987)

    ADS  Google Scholar 

  8. K C Tripathy, L K Tripathy,ICTP, Trieste, preprint No. IC/89/233 (1988)

  9. S C Mishra and Veena Mishra,Sing. J. Phys. 8, 7 (1991)

    Google Scholar 

  10. M Lutzky,J. Phys. A12, 973 (1979)

    ADS  MathSciNet  Google Scholar 

  11. M Lakshmanan and P Kaliappan,J. Math. Phys. 24, 795 (1983)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  12. P G L Leach,J. Math. Phys. 26, 77 (1985)

    Google Scholar 

  13. W Sarlet, F M Mahomed and P G L Leach,J. Phys. A20, 277 (1987)

    ADS  MathSciNet  Google Scholar 

  14. V I Inozemtsev,Phys. Lett. A96, 447 (1983)

    ADS  MathSciNet  Google Scholar 

  15. R S Kaushal and S C Mishra,Pramana - J. Phys. 26, 109 (1986)

    Article  ADS  Google Scholar 

  16. Y F Chang, M Tabor and J Weiss,J. Math. Phys. 23, 531 (1982)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  17. B Dorizzi, B Grammaticos and A Ramani,J. Math. Phys. 24, 2282 (1983)

    Article  ADS  MathSciNet  Google Scholar 

  18. A Ramani, B Dorizzi and B Grammaticos,Phys. Rev. Lett. 49, 1539 (1982)

    Article  ADS  MathSciNet  Google Scholar 

  19. J R Ray and J L Reid,J. Math. Phys. 20, 2054 (1979)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  20. P J Olver,Applications of Lie groups to differential equations (Springer, New York, 1986)

    MATH  Google Scholar 

  21. Yu A Gol’fand and E P Likhtman,JETP Lett. 13, 323 (1971)

    ADS  Google Scholar 

  22. P Ramond,Phys. Rev. D3, 2415 (1971)

    ADS  MathSciNet  Google Scholar 

  23. J L Gervais and B Sakita,Nucl. Phys. B34, 633 (1971)

    ADS  MathSciNet  Google Scholar 

  24. A Neveu and J Schwarz,Nucl. Phys. B31, 86 (1971)

    Article  ADS  Google Scholar 

  25. J Wess and B Zumino,Nucl. Phys. B70, 39 (1974)

    Article  ADS  MathSciNet  Google Scholar 

  26. P Fayet and S Ferrara,Phys. Rep. C32, 249 (1977)

    Article  ADS  MathSciNet  Google Scholar 

  27. E C G Sudarshan and N Mukunda,Classical dynamics - a modern prospective (Wiley, New York, 1974)

    Google Scholar 

  28. F Ravndal,Proceeding of the CERN School of Physics (CERN, Geneva, 1984) p. 300

    Google Scholar 

  29. H R Lewis and P G L Leach,J. Math. Phys. 23, 2371 (1982)

    Article  MATH  ADS  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Department of Physics, Kurukshetra University, 136 119, Kurukshetra, India

    S. C. Mishra

  2. Department of Computer Science, Govt. College, 133 302, Kalka, India

    Roshan Lal

  3. Physics Department, Maitreyee College, Chanakyapuri, Bapudham, University of Delhi, 110 021, Delhi, India

    Veena Mishra

Authors
  1. S. C. Mishra
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  2. Roshan Lal
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  3. Veena Mishra
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Mishra, S.C., Lal, R. & Mishra, V. Second invariant for two-dimensional classical super systems. Pramana - J Phys 61, 633–644 (2003). https://doi.org/10.1007/BF02706112

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  • DOI: https://doi.org/10.1007/BF02706112

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