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Remark on the Dunne-Unsal relation in exact semi-classics

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arxiv 1512.08466 v3 pith:3CZBFO4P submitted 2015-12-28 hep-th cond-mat.othermath-phmath.MPquant-ph

Remark on the Dunne-Unsal relation in exact semi-classics

Ilmar Gahramanov , Kemal Tezgin This is my paper
classification hep-th cond-mat.othermath-phmath.MPquant-ph
keywords relationanharmonicdunne-unsalgenushigheroscillatorspotentialsapplicable
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Recently, it is realized that non-perturbative instanton effects can be generated to all orders by perturbation theory around a degenerate minima via Dunne-Unsal relation in several quantum mechanical systems. In this work we verify the Dunne-Unsal relation for resonance energy levels of one-dimensional polynomial anharmonic oscillators. We show that the relation is applicable to cubic and quartic anharmonic oscillators which are genus one potentials. However for higher order (higher genus) anharmonic potentials the relation is not satisfied and is subject to a certain extension.

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Cited by 3 Pith papers

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