Related papers: Compact equations for the envelope theory

Compact equations for the envelope theory

URL: http://arxiv.org/abs/2108.05719v3
Date: Tue, 28 Dec 2021 16:11:50 GMT
Title: Compact equations for the envelope theory
Authors: Lorenzo Cimino, Claude Semay
Abstract summary: The envelope theory is a method to obtain approximate, but reliable, solutions for some quantum many-body problems. Quite general Hamiltonians can be considered for systems composed of an arbitrary number of different particles in $D$ dimensions.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: The envelope theory is a method to easily obtain approximate, but reliable, solutions for some quantum many-body problems. Quite general Hamiltonians can be considered for systems composed of an arbitrary number of different particles in $D$ dimensions. In the case of identical particles, a compact set of 3 equations can be written to find the eigensolutions. This set provides also a nice interpretation and a starting point to improve the method. It is shown here that a similar set of 7 equations can be determined for a system containing an arbitrary number of two different particles.

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