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Perturbation method with triangular propagators and anharmonicities of
intermediate strength
Miloslav Znojil
abstract: I propose a new version of the Rayleigh - Schr\"{o}dinger perturbation
method. It admits a lower triangular matrix in place of the usual diagonal
propagator. Illustrated on rational anharmonicities
polynomial}(x)/polynomial}(x), treated as perturbations of (quasi-)exact
anharmonic oscilators. In this sense the method works in an
intermediate-coupling regime and bridges the gap between the weak- and
strong-coupling expansions.
- oai_identifier:
- oai:arXiv.org:quant-ph/9910114
- categories:
- quant-ph
- comments:
- 37 pages (Latex file, incl. 6 tables) plus 6 ps file figures, to be
submitted to J. Math. Chem
- arxiv_id:
- quant-ph/9910114
- journal_ref:
- J. Math. Chem. 28 (2000) 139 - 167.
- created:
- 1999-10-27
Full article ▸
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