caa a22 4500 467910952 CHVBK 20180406152849.0 cr unu---uuuuu 170328e20060801xx s 000 0 eng 10.1007/s11232-006-0104-7 doi (NATIONALLICENCE)springer-10.1007/s11232-006-0104-7 Two-dimensional problem of two Coulomb centers at small intercenter distances [Elektronische Daten] [D. Bondar, M. Hnatich, V. Lazur] 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 + . Springer Science+Business Media, Inc., 2006 planar problem of two Coulomb centers nationallicence boundary layer phenomena nationallicence confluent Heun equation nationallicence Mathieu functions nationallicence Ince equation nationallicence Bondar D. Uzhgorod National University, Uzhgorod, Ukraine aut Hnatich M. Institute of Experimental Physics, Slovak Academy of Sciences, Kosiče, Slovakia aut Lazur V. Uzhgorod National University, Uzhgorod, Ukraine aut Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 148/2(2006-08-01), 1100-1116 0040-5779 148:2<1100 2006 148 11232 https://doi.org/10.1007/s11232-006-0104-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11232-006-0104-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bondar D. Uzhgorod National University, Uzhgorod, Ukraine aut NATIONALLICENCE 700 1- Hnatich M. Institute of Experimental Physics, Slovak Academy of Sciences, Kosiče, Slovakia aut NATIONALLICENCE 700 1- Lazur V. Uzhgorod National University, Uzhgorod, Ukraine aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 148/2(2006-08-01), 1100-1116 0040-5779 148:2<1100 2006 148 11232 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer