Variational Perturbation Theory for the Ground-State Wave Function
Quantum Physics
2016-11-23 v1
Abstract
We evaluate perturbatively the density matrix in the low-temperature limit and thus the ground-state wave function of the anharmonic oscillator up to second order in the coupling constant. We then employ Kleinert's variational perturbation theory to determine the ground-state wave function for all coupling strengths.
Cite
@article{arxiv.quant-ph/0105095,
title = {Variational Perturbation Theory for the Ground-State Wave Function},
author = {Axel Pelster and Florian Weissbach},
journal= {arXiv preprint arXiv:quant-ph/0105095},
year = {2016}
}
Comments
The article is a contribution to the book "Fluctuating Paths and Fields - Dedicated to Hagen Kleinert on the Occasion of His 60th Birthday", Eds. Wolfhard Janke, Axel Pelster, Hans-Juergen Schmidt, and Michael Bachmann (World Scientific, Singapore, 2001), p. 315-326