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@ARTICLE{Scott:41804,
      author       = {Scott, T. C. and Aubert-Frécon, M. and Andrae, D. and
                      Grotendorst, J. and Morgan III, J. D. and Glasser, M. L.},
      title        = {{E}xchange {E}nergy for {T}wo-{A}ctive-{E}lectron
                      {D}iatomic {S}ystems {W}ithin the {S}urface {I}ntegral
                      {M}ethod},
      journal      = {Applicable algebra in engineering, communication and
                      computing},
      volume       = {15},
      issn         = {0938-1279},
      address      = {Berlin},
      publisher    = {Springer},
      reportid     = {PreJuSER-41804},
      pages        = {101 - 128},
      year         = {2004},
      note         = {Record converted from VDB: 12.11.2012},
      abstract     = {We have analyzed and reduced a general (quantum-mechanical)
                      expression for the atom-atom exchange energy formulated as a
                      five-dimensional surface integral, which arises in studying
                      the charge exchange processes in diatomic molecules. It is
                      shown that this five-dimensional surface integral can be
                      decoupled into a three-dimensional integral and a
                      two-dimensional angular integral which can be solved
                      analytically using a special decomposition. Exact solutions
                      of the two-dimensional angular integrals are presented and
                      generalized. Algebraic aspects, invariance properties and
                      exact solutions of integrals involving Legendre and
                      Chebyshev polynomials are also discussed.},
      keywords     = {J (WoSType)},
      cin          = {ZAM},
      ddc          = {510},
      cid          = {I:(DE-Juel1)VDB62},
      pnm          = {Betrieb und Weiterentwicklung des Höchstleistungsrechners},
      pid          = {G:(DE-Juel1)FUEK254},
      shelfmark    = {Computer Science, Interdisciplinary Applications / Computer
                      Science, Theory $\&$ Methods / Mathematics, Applied},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000224435700002},
      doi          = {10.1007/s00200-004-0156-6},
      url          = {https://juser.fz-juelich.de/record/41804},
}