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Triad of homogeneous and inhomogeneous three particle Lippmann-Schwinger equations

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Abstract

A general distribution theoretic treatment of the convergence of sequences involving wave functions show that the problem of non-uniqueness does not exist for the solutions of the Lippmann-Schwinger equation for multichannel scattering, in the eigenfunction space.

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References

  • Adhikari S K 1980Phys. Lett. A95 21

    ADS  MathSciNet  Google Scholar 

  • Adhikari S K and Glockle W 1980Phys. Rev. C21 54

    ADS  Google Scholar 

  • Baumgartel H and Wollenberg M 1983Mathematical Scattering Theory, Birkhawser Verlag

  • Faddeev L D 1964Mathematical Problems of Quantum Theory of Scattering for Three Particle System, Translated by J B Sykes AERE Harwell Berkshire UK

  • Gerjuoy E and Adhikari S K 1984Phys. Lett. A105 203

    ADS  Google Scholar 

  • Gerjuoy E and Adhikari S K 1985Phys. Rev. A31 2005

    ADS  MathSciNet  Google Scholar 

  • Gelfand I M, Graev M I and Vilenkin N Ya 1966Generalise function (New York: Academic Press) Vol 5

    Google Scholar 

  • Kanwal R P 1983Generalised Function (New York: Academic Press)

    Google Scholar 

  • Levin F S and Sandhas W 1984Phys. Rev. C29 1617

    ADS  Google Scholar 

  • Mukherjee S 1978Phys. Lett. B80 73

    ADS  Google Scholar 

  • Mukherjee S 1981aPhys. Lett. A81 207

    ADS  Google Scholar 

  • Mukherjee S 1981bPhys. Lett. A83 1

    ADS  Google Scholar 

  • Mukherjee S 1981cPramana — J. Phys. 16 81

    ADS  Google Scholar 

  • Mukherjee S 1982Pramana — J. Phys. 18 495

    ADS  Google Scholar 

  • Prugovecki E 1981Quantum Mechanics in Hilbert Space 2nd ed. (New York: Academic Press)

    MATH  Google Scholar 

  • Reed M and Simon B 1979Methods of Modern Mathematical Physics (Academic Press) Vol III

  • Richtmyer R D 1978Principles of Advanced Mathematical Physics (Berlin: Springer Verlag) Vols I and II

    MATH  Google Scholar 

  • Sandhas W 1976Few body dynamics (Ed.) A N Mitra (North Holland)

  • Schiff L I 1968Quantum Mechanics (New York: McGraw Hill)

    Google Scholar 

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Mukherjee, S. Triad of homogeneous and inhomogeneous three particle Lippmann-Schwinger equations. Pramana - J Phys 34, 173–182 (1990). https://doi.org/10.1007/BF02845761

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  • DOI: https://doi.org/10.1007/BF02845761

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