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@ARTICLE{Scott:54814,
      author       = {Scott, T. C. and Aubert-Frécon, M. and Grotendorst, J.},
      title        = {{N}ew {A}pproach for the {E}lectronic {E}nergies of the
                      {H}ydrogen {M}olecular {I}on},
      journal      = {Chemical physics},
      volume       = {324},
      issn         = {0301-0104},
      address      = {Amsterdam [u.a.]},
      publisher    = {Elsevier Science},
      reportid     = {PreJuSER-54814},
      year         = {2006},
      note         = {Record converted from VDB: 12.11.2012},
      abstract     = {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.},
      keywords     = {J (WoSType)},
      cin          = {ZAM},
      ddc          = {540},
      cid          = {I:(DE-Juel1)VDB62},
      pnm          = {Scientific Computing},
      pid          = {G:(DE-Juel1)FUEK411},
      shelfmark    = {Chemistry, Physical / Physics, Atomic, Molecular $\&$
                      Chemical},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000238272100005},
      doi          = {10.1016/j.chemphys.2005.10.031},
      url          = {https://juser.fz-juelich.de/record/54814},
}