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Sur Les Solutions De L'equation De Schrödinger Atomique Et Le Cas Particulier De Deux Electrons

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Part of the book series: Lecture Notes in Physics ((LNP,volume 195))

Abstract

A previous report [L1] determines the behavior of the solutions of the atomic Schrödinger equation near the nucleus, when the nucleus has an infinite mass. The description of that behavior makes use of some operators. Another previous report [L2] gives closed analytic forms of their kernels. The present report expresses all those kernels by means of one generating function ; then it-clarifies

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Bibliographie

  1. K. JÖRGENS and J. WEIDMANN, Spectral Properties of Hamiltonian Operators, Lecture Notes in Mathematics, 313, Springer (1973).

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  2. A.M. ERMOLAEV, Vestn. Leningrad Univ., 14, no 22, p 46 (1958).

    Google Scholar 

  3. V.A. FOCK, Izvestia Akademii Nauk SSSR, Ser. Fiz, 18, p 1961 (1954). Traduction anglaise: D. Kngl. Norske Videnskab Selsk. Forh. 31, p. 138 (1958).

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  4. T. KATO, Some Mathematical Problems in Quantum Mechanics, Progress of Theoretical Physics, Supplement no 40 (1967).-Trans. Amer. Math. Soc. 70, p. 212 (1951).

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  5. J. LERAY, 6ème Congrès du Groupement de mathématiciens d'expression latine, p. 179–189, Gauthier-Villars (1982)

    Google Scholar 

  6. J. LERAY, Proc. of the Intern. meeting dedicated to the memory of Professor Carlo Miranda, Meth. of Funct. Anal. and Theory of Ellipt. Equ., Liguori, Naples (1982).

    Google Scholar 

  7. John D. MORGAN III, The convergence of Fock's expansion for S-state eigen-functions of the helium atom (preprint).

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  8. B. SIMON, Functional Integration and Quantum Physics, Academic Press, New-York (1979). *** DIRECT SUPPORT *** A3418152 00006

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Philippe G. Ciarlet Maurice Roseau

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© 1984 Springer-Verlag

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Leray, J. (1984). Sur Les Solutions De L'equation De Schrödinger Atomique Et Le Cas Particulier De Deux Electrons. In: Ciarlet, P.G., Roseau, M. (eds) Trends and Applications of Pure Mathematics to Mechanics. Lecture Notes in Physics, vol 195. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-12916-2_60

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  • DOI: https://doi.org/10.1007/3-540-12916-2_60

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12916-5

  • Online ISBN: 978-3-540-38800-5

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