Perturbation method with triangular propagators and anharmonicities of intermediate strength

Details Perturbation method with triangular propagators and anharmonicities of intermediate strength Perturbation method with triangular propagators and anharmonicities of intermediate strength

1999-10-27

arxiv.org/abs/quant-ph/9910114v1

J. Math. Chem. 28 (2000) 139 - 167.

Physics

Quantum Physics

37 pages (Latex file, incl. 6 tables) plus 6 ps file figures, to be submitted to J. Math. Chem

Scientific paper

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.

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