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arXiv · 1208.1082

Symmetric Tensor Decomposition Description of Fermionic Many-Body Wavefunctions

Wataru Uemura·Osamu Sugino
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Abstract

The configuration interaction (CI) is a versatile wavefunction theory for interacting fermions but it involves an extremely long CI series. Using a symmetric tensor decomposition (STD) method, we convert the CI series into a compact and numerically tractable form. The converted series encompasses the Hartree-Fock state in the first term and rapidly converges to the full-CI state, as numerically tested using small molecules. Provided that the length of the STD-CI series grows only moderately with the increasing complexity of the system, the new method will serve as one of the alternative variational methods to achieve full-CI with enhanced practicability.

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Wataru Uemura, Osamu Sugino. 2012-08-06. Symmetric Tensor Decomposition Description of Fermionic Many-Body Wavefunctions. https://doi.org/10.1103/physrevlett.109.253001

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