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

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dc.contributor.authorJentschura, U.D.
dc.contributor.authorSurzhykov, A.
dc.contributor.authorZinn-Justin, J.
dc.date.accessioned2019-02-19T19:28:14Z
dc.date.available2019-02-19T19:28:14Z
dc.date.issued2009
dc.description.abstractThe 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.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Proceedings of the VIIth Workshop “Quantum Physics with NonHermitian Operators” (June 29 – July 11, 2008, Benasque, Spain). U.D.J. acknowledges helpful conversations with C.M. Bender and J. Feinberg at PHHQP2008 at the conference venue in Benasque (Spain). A.S. acknowledges support from the Helmholtz Gemeinschaft (Nachwuchsgruppe VH–NG–421).uk_UA
dc.identifier.citationGeneralized 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.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2000 Mathematics Subject Classification: 81Q15; 81T15
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/149258
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleGeneralized Nonanalytic Expansions, PT-Symmetry and Large-Order Formulas for Odd Anharmonic Oscillatorsuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5, випуск за цей рік