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A new method of solving the many-body Schrödinger equation

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Abstract

A new method of solving the many-body Schrödinger equation is proposed. It is based on the use of constant particle-particle interaction potential surfaces (IPSs) and the representation of the many-body wave function in a configuration interaction form with coefficients depending on the total interaction potential. For these coefficients the corresponding set of linear ordinary differential equations is obtained. A hierarchy of approximations is developed for IPSs. The solution of a simple exactly solvable model and He-like ions proves that this method is more accurate than the conventional configuration interaction method and demonstrates a better convergence with increasing basis set.

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Correspondence to V. M. Tapilin.

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Translated from Zhurnal Strukturnoi Khimii, Vol. 58, No. 1, pp. 7-14, January-February, 2017.

Original Russian Text © 2017 V. M. Tapilin.

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Tapilin, V.M. A new method of solving the many-body Schrödinger equation. J Struct Chem 58, 1–8 (2017). https://doi.org/10.1134/S0022476617010012

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  • DOI: https://doi.org/10.1134/S0022476617010012

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