Anharmonic Oscillator Equations:Treatment Parallel to Mathieu Equation
Quantum Physics
2007-05-23 v2 Mesoscale and Nanoscale Physics
High Energy Physics - Theory
Abstract
The treatment of anharmonic oscillators (including double-wells) by instanton methods is wellknown. The alternative differential equation method is not so wellknown. Here we reformulate the latter completely parallel to the strong coupling case of the cosine potential and Mathieu equation for which extensive literature and monographs exist.
Keywords
Cite
@article{arxiv.quant-ph/0407235,
title = {Anharmonic Oscillator Equations:Treatment Parallel to Mathieu Equation},
author = {Jiu--Qing Liang and H. J. W. Mueller--Kirsten},
journal= {arXiv preprint arXiv:quant-ph/0407235},
year = {2007}
}
Comments
Revised, minor corrections, calculations shifted to appendices, references added