Improvement of the envelope theory with the dominantly orbital state method
Quantum Physics
2015-07-28 v1
Abstract
The envelope theory, also known as the auxiliary field method, is a simple technique to compute approximate solutions of Hamiltonians for identical particles in dimensions. The quality of the approximate eigenvalues can be improved by adding a free parameter in the characteristic global quantum number of the solutions. A method is proposed to determine the value of this parameter by comparing the eigenvalues computed with the envelope theory to the corresponding ones computed with a -body generalization of the dominantly orbital state method. The accuracy of the procedure is tested with several systems.
Keywords
Cite
@article{arxiv.1504.04146,
title = {Improvement of the envelope theory with the dominantly orbital state method},
author = {Claude Semay},
journal= {arXiv preprint arXiv:1504.04146},
year = {2015}
}
Comments
arXiv admin note: text overlap with arXiv:1501.01383