The PT Symmeter » Roberto Tateo http://ptsymmetry.net PT Symmetry articles and information Wed, 24 Dec 2014 09:54:41 +0000 en hourly 1 http://wordpress.org/?v=3.0.4 Quasi-exact solvability, resonances and trivial monodromy in ordinary differential equations http://ptsymmetry.net/?p=972&utm_source=rss&utm_medium=rss&utm_campaign=quasi-exact-solvability-resonances-and-trivial-monodromy-in-ordinary-differential-equations http://ptsymmetry.net/?p=972#comments Mon, 24 Sep 2012 05:58:07 +0000 dwh http://ptsymmetry.net/?p=972 Patrick Dorey, Clare Dunning, Roberto Tateo

A correspondence between the sextic anharmonic oscillator and a pair of third-order ordinary differential equations is used to investigate the phenomenon of quasi-exact solvability for eigenvalue problems involving differential operators with order greater than two. In particular, links with Bender-Dunne polynomials and resonances between independent solutions are observed for certain second-order cases, and extended to the higher-order problems.

http://arxiv.org/abs/1209.4736
Mathematical Physics (math-ph); High Energy Physics – Theory (hep-th); Quantum Physics (quant-ph)

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