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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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Main Authors: Jentschura, U.D., Surzhykov, A., Zinn-Justin, J.
Format: Article
Language:English
Published: Інститут математики НАН України 2009
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/149258
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spelling irk-123456789-1492582019-02-20T01:28:09Z Generalized Nonanalytic Expansions, PT-Symmetry and Large-Order Formulas for Odd Anharmonic Oscillators Jentschura, U.D. Surzhykov, A. Zinn-Justin, J. 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. 2009 Article Generalized Nonanalytic Expansions, PT-Symmetry and Large-Order Formulas for Odd Anharmonic Oscillators / U.D. Jentschura, A. Surzhykov, J. Zinn-Justin // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 30 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 81Q15; 81T15 http://dspace.nbuv.gov.ua/handle/123456789/149258 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
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.
format Article
author Jentschura, U.D.
Surzhykov, A.
Zinn-Justin, J.
spellingShingle Jentschura, U.D.
Surzhykov, A.
Zinn-Justin, J.
Generalized Nonanalytic Expansions, PT-Symmetry and Large-Order Formulas for Odd Anharmonic Oscillators
Symmetry, Integrability and Geometry: Methods and Applications
author_facet Jentschura, U.D.
Surzhykov, A.
Zinn-Justin, J.
author_sort Jentschura, U.D.
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 Інститут математики НАН України
publishDate 2009
url http://dspace.nbuv.gov.ua/handle/123456789/149258
citation_txt Generalized Nonanalytic Expansions, PT-Symmetry and Large-Order Formulas for Odd Anharmonic Oscillators / U.D. Jentschura, A. Surzhykov, J. Zinn-Justin // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 30 назв. — англ.
series Symmetry, Integrability and Geometry: Methods and Applications
work_keys_str_mv AT jentschuraud generalizednonanalyticexpansionsptsymmetryandlargeorderformulasforoddanharmonicoscillators
AT surzhykova generalizednonanalyticexpansionsptsymmetryandlargeorderformulasforoddanharmonicoscillators
AT zinnjustinj generalizednonanalyticexpansionsptsymmetryandlargeorderformulasforoddanharmonicoscillators
first_indexed 2023-05-20T17:32:35Z
last_indexed 2023-05-20T17:32:35Z
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