DOI: https://doi.org/10.30970/jps.06.60
GREEN'S FUNCTION OF THE MODEL TWO-CENTRE QUANTUM-MECHANICAL PROBLEM
M. V. Khoma, V. Yu. Lazur
Uzhhorod National University,
32, Voloshin Str., Uzhhorod, UA-88000, Ukraine
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Journal of Physical Studies 6(1), 60–73 (2002)
DOI: https://doi.org/10.30970/jps.06.60 GREEN'S FUNCTION OF THE MODEL TWO-CENTRE QUANTUM-MECHANICAL PROBLEMM. V. Khoma, V. Yu. Lazur
Uzhhorod National University, |
|
The expansions of a Green's function for the Simmons molecular potential (SMP) over spheroidal function are built. The solutions of degenerate hypergeometric equation are used as basis function system while expanding regular and irregular model spheroidal functions into series. Rather simple three-terms recurrence relations are obtained for the coefficients of these expansions. Much attentions is given to different asymptotic representation as well as Sturmian expansions of the Green's function of the two-centre SMP wave functions. In all cases considered the Green's function is reduced to the form similar to the Hostler's representation of the Coulomb Green's function.
PACS number(s): 31.15.-p, 02.03.Mv, 02.03.Hq