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Analytically reduced form of multicenter integrals from Gaussian transformsThe four-dimensional Fourier-Feynman transformations previously used in analytically reducing the general class of integrals containing multicenter products of 1s hydrogenic orbitals, Coulomb or Yukawa potentials, and plane waves, are replaced by the one-dimensional Gaussian transformation. This reduces the previously required double-diagonalization of the quadratic form of the multicenter integrals to only one diagonalization, yielding a simpler reduced form of the integral. The present work also extends the result to include all s states and pairs of states with l not equal to zero summed over the m quantum number.
Document ID
19890042936
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Straton, Jack C.
(NASA Goddard Space Flight Center Greenbelt, MD, United States)
Date Acquired
August 14, 2013
Publication Date
February 15, 1989
Publication Information
Publication: Physical Review A - General Physics, 3rd Series
Volume: 39
ISSN: 0556-2791
Subject Category
Atomic And Molecular Physics
Accession Number
89A30307
Distribution Limits
Public
Copyright
Other

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