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Extended universal correlation diagrams for the quantum mechanical one-electron two-centre problem

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Zeitschrift für Physik D Atoms, Molecules and Clusters

Abstract

We have recomputed exact correlation diagrams for the energy of excited states; the system consists of an electron (or a different negatively charged particle) moving in the field of two fixed point chargesZ a ,Z b . The ratiosq=Z a/Zb taken into consideration here were 1, 2, and 3. In the caseq=3, three avoided crossings of energy curves belonging to states of equal symmetry type are contained in the diagram.

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References

  1. Hartmann, H., Helfrich, K.: Theor. Chim. Acta10, 406 (1968)

    Article  Google Scholar 

  2. Helfrich, K.: Theor. Chim. Acta16, 263 (1970)

    Article  Google Scholar 

  3. Vinitskii, S.I., Melezhik, V.S., Ponomarev, L.I. et al.: Sov. Phys. JETP52, 353 (1980)

    Google Scholar 

  4. Helfrich, K.: Habilitationsschrift, Frankfurt a.M. 1971

  5. Helfrich, K.: Theoret. Chim. Acta30, 169 (1973)

    Google Scholar 

  6. Helfrich, K.: Theoret. Chim. Acta52, 163 (1979)

    Google Scholar 

  7. Salin, A.: Comp. Phys. Commun.14, 121 (1978)

    Google Scholar 

  8. Briggs, J.S.: Rep. Prog. Phys.39, 217 (1976)

    Google Scholar 

  9. Rost, J.M., Briggs, J.S.: Z. Phys. D5, 339 (1987)

    Google Scholar 

  10. Helfrich, K.: Int. Series Num. Math. (Birkhäuser Basel)83, 115

  11. Helfrich, K., Hartmann, H.: Theor. Chim. Acta3, 21 (1965)

    Google Scholar 

  12. Ponomarev, L.I., Puzynina, T.P.: Sov. Phys. JETP25, 846 (1967)

    Google Scholar 

  13. Ponomarev, L.I., Puzynina, T.P.: The problem of two centres in quantum mechanics. V. Algorithm. Preprint Dubna (1970)

  14. Power, J.D.: Philos. Trans. R. Soc. London274, 663 (1973)

    Google Scholar 

  15. Hunter, G., Pritchard, H.O.: J.C.P.46, 2146 (1967)

    Google Scholar 

  16. Winter, T.G., Duncan, M.O., Lane, N.F.: J. Phys. B10, 285 (1977)

    Google Scholar 

  17. Monroe, E.: Proc. Cambr. Philos. Soc.34, 375 (1938)

    Google Scholar 

  18. Marrack, P.E.: Proc. Cambr. Philos. Soc.35, 44 (1939)

    Google Scholar 

  19. Gershtein, G.S., Krivchenkov, V.D.: Sov. Phys. JETP13, 1044 (1961)

    Google Scholar 

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Authors and Affiliations

  1. Theoretische Chemie, I.N. Stranski-Institut, Technische Hochschule, Ernst Reuter-Platz 7, D-1000, Berlin, Germany

    K. Helfrich

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  1. K. Helfrich
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Dedicated to the memory of Professor Dr. Hermann Hartmann (May 4, 1914–October 22, 1984)

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Helfrich, K. Extended universal correlation diagrams for the quantum mechanical one-electron two-centre problem. Z Phys D - Atoms, Molecules and Clusters 13, 295–299 (1989). https://doi.org/10.1007/BF01398896

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  • DOI: https://doi.org/10.1007/BF01398896

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