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arXiv · 2108.05719

Compact equations for the envelope theory

Lorenzo Cimino·Claude Semay
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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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Lorenzo Cimino, Claude Semay. 2021-08-12. Compact equations for the envelope theory. https://doi.org/10.1007/s13538-021-01047-7

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