Abstract
A Gaussian form of the generator coordinate wave function is used to find the exact weight function for the ground state of H-atom using HWG integral equation. Exact pairs of GC wave functions and weight functions are then constructed for other simple Hamiltonians using a simple integral which converts an exponential into a Gaussian. A discussion as to how a GC wave function can be used as a trial variational wave function is also presented.
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Ullah, N. Exact generator coordinate wave functions for some simple hamiltonians. Pramana - J. Phys 31, 87–91 (1988). https://doi.org/10.1007/BF02846962
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DOI: https://doi.org/10.1007/BF02846962