Generalized Nonanalytic Expansions, PT-Symmetry and Large-Order Formulas for Odd Anharmonic Oscillators

Generalized Nonanalytic Expansions, PT-Symmetry and Large-Order Formulas for Odd Anharmonic Oscillators

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 discuss...

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Bibliographic Details
Main Authors: Ulrich D. Jentschura, Andrey Surzhykov, Jean Zinn-Justin
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2009-01-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
PT-symmetry
asymptotics
higher-order corrections
instantons
Online Access:http://dx.doi.org/10.3842/SIGMA.2009.005
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spelling doaj-6390234d28624b37a634dfcb2c4baaa72020-11-24T23:23:14ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592009-01-015005Generalized Nonanalytic Expansions, PT-Symmetry and Large-Order Formulas for Odd Anharmonic OscillatorsUlrich D. JentschuraAndrey SurzhykovJean Zinn-JustinThe 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.http://dx.doi.org/10.3842/SIGMA.2009.005PT-symmetryasymptoticshigher-order correctionsinstantons
collection DOAJ
language English
format Article
sources DOAJ
author Ulrich D. Jentschura
Andrey Surzhykov
Jean Zinn-Justin
spellingShingle Ulrich D. Jentschura
Andrey Surzhykov
Jean Zinn-Justin
Generalized Nonanalytic Expansions, PT-Symmetry and Large-Order Formulas for Odd Anharmonic Oscillators
Symmetry, Integrability and Geometry: Methods and Applications
PT-symmetry
asymptotics
higher-order corrections
instantons
author_facet Ulrich D. Jentschura
Andrey Surzhykov
Jean Zinn-Justin
author_sort Ulrich D. Jentschura
title Generalized Nonanalytic Expansions, PT-Symmetry and Large-Order Formulas for Odd Anharmonic Oscillators
title_short Generalized Nonanalytic Expansions, PT-Symmetry and Large-Order Formulas for Odd Anharmonic Oscillators
title_full Generalized Nonanalytic Expansions, PT-Symmetry and Large-Order Formulas for Odd Anharmonic Oscillators
title_fullStr Generalized Nonanalytic Expansions, PT-Symmetry and Large-Order Formulas for Odd Anharmonic Oscillators
title_full_unstemmed Generalized Nonanalytic Expansions, PT-Symmetry and Large-Order Formulas for Odd Anharmonic Oscillators
title_sort generalized nonanalytic expansions, pt-symmetry and large-order formulas for odd anharmonic oscillators
publisher National Academy of Science of Ukraine
series Symmetry, Integrability and Geometry: Methods and Applications
issn 1815-0659
publishDate 2009-01-01
description 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.
topic PT-symmetry
asymptotics
higher-order corrections
instantons
url http://dx.doi.org/10.3842/SIGMA.2009.005
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AT andreysurzhykov generalizednonanalyticexpansionsptsymmetryandlargeorderformulasforoddanharmonicoscillators
AT jeanzinnjustin generalizednonanalyticexpansionsptsymmetryandlargeorderformulasforoddanharmonicoscillators
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