Two-dimensional problem of two Coulomb centers at small intercenter distances |
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| Authors: | D I Bondar M Hnatich V Yu Lazur |
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| Institution: | (1) Uzhgorod National University, Uzhgorod, Ukraine;(2) Institute of Experimental Physics, Slovak Academy of Sciences, Kosiče, Slovakia |
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| Abstract: | We use analytic methods to analyze the discrete spectrum for the problem (Z1eZ2)2 in the united-atom limit (R ≪ 1) and obtain asymptotic expansions for the quantum defect and energy terms of the system (Z1eZ2)2 at small intercenter distances R up to terms of the order O(R6). We investigate the effect of the dimensionality factor on the energy spectrum of the hydrogen molecular ion H
2
+
.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 148, No. 2, pp. 269–287, August, 2006. |
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| Keywords: | planar problem of two Coulomb centers boundary layer phenomena confluent Heun equation Mathieu functions Ince equation |
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