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  A remark on the Dunne-Unsal relation in exact semi-classics

Gahramanov, I., & Tezgin, K. (2016). A remark on the Dunne-Unsal relation in exact semi-classics. Physical Review D, 93: 065037. doi:10.1103/PhysRevD.93.065037.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002A-12DC-2 Version Permalink: http://hdl.handle.net/21.11116/0000-0002-EBF3-3
Genre: Journal Article

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 Creators:
Gahramanov, Ilmar1, Author              
Tezgin, Kemal, Author
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: High Energy Physics - Theory, hep-th, Condensed Matter, cond-mat.other,Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP,Quantum Physics, quant-ph
 Abstract: 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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 Dates: 2015-12-2820162016
 Publication Status: Published in print
 Pages: 20 pages
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1512.08466
URI: http://arxiv.org/abs/1512.08466
DOI: 10.1103/PhysRevD.93.065037
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Title: Physical Review D
  Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : American Physical Society
Pages: - Volume / Issue: 93 Sequence Number: 065037 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: /journals/resource/111088197762258