TY  - JOUR
AU  - Scott, T. C.
AU  - Aubert-Frécon, M.
AU  - Grotendorst, J.
TI  - New Approach for the Electronic Energies of the Hydrogen Molecular Ion
JO  - Chemical physics
VL  - 324
SN  - 0301-0104
CY  - Amsterdam [u.a.]
PB  - Elsevier Science
M1  - PreJuSER-54814
PY  - 2006
N1  - Record converted from VDB: 12.11.2012
AB  - Herein, we present analytical solutions for the electronic energy eigenvalues of the hydrogen molecular ion H-2(+), namely the one-electron two-fixed-center problem. These are given for the homonuclear case for the countable infinity of discrete states when the (2)Sigma(+) states. In this case, these solutions are the roots of a set of two coupled three-term magnetic quantum number m is zero, i.e., for, recurrence relations. The eigensolutions are obtained from an application of experimental mathematics using Computer Algebra as its principal tool and are vindicated by numerical and algebraic demonstrations. Finally, the mathematical nature of the eigenenergies is identified. (c) 2005 Elsevier B.V. All rights reserved.
KW  - J (WoSType)
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000238272100005
DO  - DOI:10.1016/j.chemphys.2005.10.031
UR  - https://juser.fz-juelich.de/record/54814
ER  -