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Lie-isotopic algebraic approach to formal nonpotential scattering theory

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Lettere al Nuovo Cimento (1971-1985)

Summary

We give a preliminary, formal approach to nonpotential scattering theory, which leans in an essential way on the Lie-isotopic algebraic structure. In the time-dependent case, the central result is an equation for the isotopic evolution operator which may be solved by a generalization of Magnus’ expansion. In the time-independent formalism, we obtain a purely algebraic isotopic version of Lippmann-Schwinger equations for the Møller operators and of the Born series.

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References

  1. Hadronic J.,2, 1252 (1979);3, 1 (1979);4, 608, 1161 (1981).

  2. R. M. Santilli:Foundations of Theoretical Mechanics, Vol. II:Birkhoffian Generalization of Hamiltonian Mechanics (Springer-Verlag, New York, N. Y., Heidelberg, 1983).

    Google Scholar 

  3. Hadronic J.,5, 245, 679, 1194, 1627 (1982);6, 1400 (1983);7, 911 (1984).

  4. H. G. Myung andR. M. Santilli:Hadronic J.,5, 1277 (1982).

    MathSciNet  Google Scholar 

  5. H. G. Myung andR. M. Santilli:Hadronic J.,5, 1367 (1982).

    MathSciNet  Google Scholar 

  6. R. Mignani, H. C. Myung andR. M. Santilli:Hadronic J.,6, 1873 (1983).

    Google Scholar 

  7. M. Gasperini:Hadronic J.,6, 935, 1462 (1983). See alsoM. Nishioea:Hadronic J.,6, 1480 (1983).

    MathSciNet  MATH  Google Scholar 

  8. R. M. Santilli:Lett. Nuovo Cimento,37, 337, 545 (1983);38, 509 (1983).

    Article  MathSciNet  Google Scholar 

  9. H. C. Myung:Hadronic J.,7, 76, 931 (1984).

    MathSciNet  MATH  Google Scholar 

  10. R. Mignani:Hadronic J.,4, 2185 (1981).

    MathSciNet  Google Scholar 

  11. R. Mignani:Hadronic J.,5, 1120 (1982).

    MathSciNet  Google Scholar 

  12. R. Mignani:Lett. Nuovo Cimento,39, 406 (1984).

    Article  MathSciNet  Google Scholar 

  13. R. Mionani:Towards a nonpotential scattering theory, Hadronic. J., in press.

  14. W. Magnus:Commun. Pure Appl. Math.,7, 649 (1954). See alsoD. W. Robinson:Helv. Phys. Acta,36, 140 (1963).

    Article  MathSciNet  MATH  Google Scholar 

  15. P. Pechukas andJ. C. Light:J. Ghem. Phys.,44, 3897 (1966).

    ADS  Google Scholar 

  16. Y. Alhassid andR. D. Levine:Phys. Rev. Lett,54, 739 (1985).

    Article  MathSciNet  ADS  Google Scholar 

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Authors and Affiliations

  1. Dipartimento di Fisica dell’ Università « La Sapienza », P.le A. Moro 2, 00185, Roma, Italia

    R. Mignani

  2. Sezione di Roma, Istituto Nazionale di Fisica Nucleare, Italia

    R. Mignani

  3. Division of Physics, I.B.R., 96 Prescott Street, 02138, Cambridge, MA

    R. Mignani

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  1. R. Mignani
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Mignani, R. Lie-isotopic algebraic approach to formal nonpotential scattering theory. Lett. Nuovo Cimento 43, 355–362 (1985). https://doi.org/10.1007/BF02746966

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  • DOI: https://doi.org/10.1007/BF02746966

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