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Inversion transformation in the Schrödinger equation

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Literature Cited

  1. Yu. N. Demkov and V. N. Ostrovskii, Zh. Eksp. Teor. Fiz.,60, 2011 (1971).

    Google Scholar 

  2. J. D. Jackson, Classical Electrodynamics, New York (1962).

  3. Yu. V. Martynenko, O. B. Firsov, and M. I. Chibisov, Zh. Eksp. Teor. Fiz.,44, 225 (1963).

    Google Scholar 

  4. F. Vogt and G. H. Wannier, Phys. Rev.,95, 1190 (1954).

    Google Scholar 

  5. J. C. Maxwell, The Scientific Papers, Vols. 1, 2, Dover, New York (1952).

    Google Scholar 

  6. V. A. Fock, Izv. Akad. Nauk SSSR, Otd. Mat. Estes. Nauk, No. 2, 169 (1935).

    Google Scholar 

  7. Yu. N. Demkov, in: Problems of the Theory of Atomic Collisions, No. 2 [in Russian], State University, Leningrad (1981), pp. 172–184.

    Google Scholar 

  8. F. M. Morse and H. Feshbach, Methods of Theoretical Physics, Vol. 1, McGraw Hill, New York (1953).

    Google Scholar 

  9. N. B. Sukhomlin, “Symmetry and the integration of some equations of mathematical physics,” Authoris Abstract of Candidate's Dissertation [in Russian], Kalm State University, Elista (1981).

    Google Scholar 

  10. A. Érdelyi et al. (eds), High Transcendental Functions (California Institute of Technology H. Bateman M. S. Project), Vol. 2, McGraw Hill, New York (1953).

    Google Scholar 

  11. Ch. Snow, “Hypergeometric and Legendre functions with applications to integral equations of potential theory,” Appl. Math. Ser.,19 (1952).

  12. Yu. N. Demkov and V. S. Rudakov, Zh. Eksp. Teor. Fiz.,59, 2035 (1970).

    Google Scholar 

  13. N. V. Semenova, Vestn. Leningr. Univ. Fiz. Khim., No. 16, 26 (1982).

    Google Scholar 

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Leningrad State University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 60, No. 3, pp. 423–431, September, 1984.

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Demkov, Y.N., Semenova, N.V. Inversion transformation in the Schrödinger equation. Theor Math Phys 60, 914–920 (1984). https://doi.org/10.1007/BF01017894

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