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000054814 084__ $$2WoS$$aChemistry, Physical
000054814 084__ $$2WoS$$aPhysics, Atomic, Molecular & Chemical
000054814 1001_ $$0P:(DE-HGF)0$$aScott, T. C.$$b0
000054814 245__ $$aNew Approach for the Electronic Energies of the Hydrogen Molecular Ion
000054814 260__ $$aAmsterdam [u.a.]$$bElsevier Science$$c2006
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000054814 520__ $$aHerein, 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.
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000054814 7001_ $$0P:(DE-HGF)0$$aAubert-Frécon, M.$$b1
000054814 7001_ $$0P:(DE-Juel1)132118$$aGrotendorst, J.$$b2$$uFZJ
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