Some equivalences between the auxiliary field method and the envelope theory
Quantum Physics
2009-03-23 v2 Mathematical Physics
math.MP
Abstract
The auxiliary field method has been recently proposed as an efficient technique to compute analytical approximate solutions of eigenequations in quantum mechanics. We show that the auxiliary field method is completely equivalent to the envelope theory, which is another well-known procedure to analytically solve eigenequations, although relying on different principles \textit{a priori}. This equivalence leads to a deeper understanding of both frameworks.
Cite
@article{arxiv.0811.0748,
title = {Some equivalences between the auxiliary field method and the envelope theory},
author = {F. Buisseret and C. Semay and B. Silvestre-Brac},
journal= {arXiv preprint arXiv:0811.0748},
year = {2009}
}
Comments
v2 to appear in J. Math. Phys