Anharmonic Oscillator Equations:Treatment Parallel to Mathieu Equation

Jiu--Qing Liang; H. J. W. Mueller--Kirsten

Anharmonic Oscillator Equations:Treatment Parallel to Mathieu Equation

量子物理 2007-05-23 v2 介观与纳米尺度物理高能物理 - 理论

作者: Jiu--Qing Liang , H. J. W. Mueller--Kirsten

摘要

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.

关键词

harmonic oscillator in quantum mechanics differential equations partial differential equations

引用

@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}
}

备注

Revised, minor corrections, calculations shifted to appendices, references added

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