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Symmetry, Integrability and Geometry: Methods and Applications, 2009, Volume 5, 005, 10 pp.
DOI: https://doi.org/10.3842/SIGMA.2009.005 (Mi sigma351) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Generalized Nonanalytic Expansions, $\mathcal{PT}$-Symmetry and Large-Order Formulas for Odd Anharmonic Oscillators

Ulrich D. Jentschuraa, Andrey Surzhykovb, Jean Zinn-Justinc

a Department of Physics, Missouri University of Science and Technology, Rolla MO65409-0640, USA
b Physikalisches Institut der Universität, Philosophenweg 12, 69120 Heidelberg, Germany
c CEA, IRFU and Institut de Physique Théorique, Centre de Saclay, F-91191 Gif-Sur-Yvette, France
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DOI: https://doi.org/10.3842/SIGMA.2009.005
Abstract: The concept of a generalized nonanalytic expansion which involves nonanalytic combinations of exponentials, logarithms and powers of a coupling is introduced and its use illustrated in various areas of physics. Dispersion relations for the resonance energies of odd anharmonic oscillators are discussed, and higher-order formulas are presented for cubic and quartic potentials.
Keywords: $\mathcal{PT}$-symmetry; asymptotics; higher-order corrections; instantons.
Received: October 30, 2008; in final form January 7, 2009; Published online January 13, 2009
Bibliographic databases:
Document Type: Article
MSC: 81Q15; 81T15
Language: English
Citation: Ulrich D. Jentschura, Andrey Surzhykov, Jean Zinn-Justin, “Generalized Nonanalytic Expansions, $\mathcal{PT}$-Symmetry and Large-Order Formulas for Odd Anharmonic Oscillators”, SIGMA, 5 (2009), 005, 10 pp.
Citation in format AMSBIB
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\paper Generalized Nonanalytic Expansions, $\mathcal{PT}$-Symmetry and Large-Order Formulas for Odd Anharmonic Oscillators
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\vol 5
\papernumber 005
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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