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Quasi-Sturm Functions in Problems of the Continuous Spectrum

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Quasi-Sturm (QS) functions are proposed as basis functions in a description of the states of the continuous spectrum of a quantum system. A representation of QS functions in closed analytical form is obtained. The advantages of the method are illustrated by an example of the two-particle scattering problem.

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References

  1. A. D. Alhaidari, E. J. Heller, H. A. Yamani, and M. S. Abdelmon, The J-Matrix Method: Developments and Applications. Springer Sciences, Business Media, New York (2008).

    Book  Google Scholar 

  2. I. Bray and A. T. Stelbovics, Phys. Rev. Lett., 69, 53 (1992).

    Article  ADS  Google Scholar 

  3. M. Rotenberg, Ann. Phys. (N.Y.), 19, 262 (1962).

  4. G. Rawitsher, Phys. Rev., C25, 2196 (1982).

    ADS  Google Scholar 

  5. D. M. Mitnik, F. D. Colavecchia, G. Gasaneo, and J. M. Randazzo, Comp. Phys. Comm., 182, 1145 (2011).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  6. E. J. Heller, Phys. Rev., A12, 1222 (1975).

    Article  ADS  Google Scholar 

  7. F. Demir, Z. T. Hlousek, and Z. Papp, Phys. Rev., A74, 014701 (2006).

    Article  ADS  Google Scholar 

  8. Z. Papp, Phys. Rev., A46, 4437 (1992).

    Article  ADS  Google Scholar 

  9. J. Révai, M. Sotona, and J. Žofka, J. Phys., G11, 745 (1985).

    Article  ADS  Google Scholar 

  10. H. A. Yamani and L. Fishman, J. Math. Phys., 16, 410 (1975).

    Article  ADS  Google Scholar 

  11. L. Hostler, J. Math. Phys., 5, 591 (1964).

    Article  ADS  MathSciNet  Google Scholar 

  12. I. S. Gradshtein and I. M. Ryzhik, Table of Integrals, Series and Products, Academic Press, New York (1980).

    Google Scholar 

  13. R. G. Newton, Scattering Theory of Waves and Particles, McGraw-Hill, New York (1966).

    Google Scholar 

  14. G. Gasaneo, D. M. Mitnik, J. M. Randazzo, et al., Phys. Rev., A87, 042707 (2013).

    Article  ADS  Google Scholar 

  15. T. N. Rescigno, M. Baertschy, D. Byrum, and C. W. McCurdy, Phys. Rev., A55, 4253 (1997).

    Article  ADS  Google Scholar 

Download references

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Correspondence to M. S. Aleshin.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 25–32, July, 2014.

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Aleshin, M.S., Zaitsev, S.A., Gasaneo, G. et al. Quasi-Sturm Functions in Problems of the Continuous Spectrum. Russ Phys J 57, 888–897 (2014). https://doi.org/10.1007/s11182-014-0321-8

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  • DOI: https://doi.org/10.1007/s11182-014-0321-8

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