Compact equations for the envelope theory
Quantum Physics
2023-02-21 v3
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 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.
Cite
@article{arxiv.2108.05719,
title = {Compact equations for the envelope theory},
author = {Lorenzo Cimino and Claude Semay},
journal= {arXiv preprint arXiv:2108.05719},
year = {2023}
}
Comments
Improved presentation. References updated. Conclusions unchanged. To appear in Braz. J. Phys