Unified Treatment of Even and Odd Anharmonic Oscillators of Arbitrary Degree

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dc.creatorJentschura, U. D.
dc.creatorSurzhykov, A.
dc.creatorZinn-Justin, J.
dc.date2009-01-30
dc.date.accessioned2026-07-07T12:36:34Z
dc.date.available2026-07-07T12:36:34Z
dc.descriptionWe present a unified treatment, including higher-order corrections, of anharmonic oscillators of arbitrary even and odd degree. Our approach is based on a dispersion relation which takes advantage of the PT-symmetry of odd potentials for imaginary coupling parameter, and of generalized quantization conditions which take into account instanton contributions. We find a number of explicit new results, including the general behaviour of large-order perturbation theory for arbitrary levels of odd anharmonic oscillators, and subleading corrections to the decay width of excited states for odd potentials, which are numerically significant.
dc.description5 pages, RevTeX
dc.identifierhttps://arxiv.org/abs/0901.4964
dc.identifierhttp://arxiv.org/abs/0901.4964
dc.identifierPhys.Rev.Lett. 102 (2009) 011601
dc.identifierdoi:10.1103/PhysRevLett.102.011601
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218139
dc.subjectMathematical Physics
dc.titleUnified Treatment of Even and Odd Anharmonic Oscillators of Arbitrary Degree
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