Optimized Perturbation Theory for Wave Functions of Quantum Systems
High Energy Physics - Theory
2014-11-18 v1 Statistical Mechanics
funct-an
Mathematical Physics
Functional Analysis
math.MP
Quantum Physics
Abstract
The notion of the optimized perturbation, which has been successfully applied to energy eigenvalues, is generalized to treat wave functions of quantum systems. The key ingredient is to construct an envelope of a set of perturbative wave functions. This leads to a condition similar to that obtained from the principle of minimal sensitivity. Applications of the method to quantum anharmonic oscillator and the double well potential show that uniformly valid wave functions with correct asymptotic behavior are obtained in the first-order optimized perturbation even for strong couplings.
Cite
@article{arxiv.hep-th/9612097,
title = {Optimized Perturbation Theory for Wave Functions of Quantum Systems},
author = {T. Hatsuda and T. Kunihiro and T. Tanaka},
journal= {arXiv preprint arXiv:hep-th/9612097},
year = {2014}
}
Comments
11 pages, RevTeX, three ps figures