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

Author

Ulrich D. Jentschura, Missouri University of Science and TechnologyFollow
Andrey S. Surzhykov
Jean Zinn-Justin

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.

Recommended Citation

U. D. Jentschura et al., "Generalized Nonanalytic Expansions, PT-Symmetry and Large-Order Formulas for Odd Anharmonic Oscillators," Symmetry, Integrability and Geometry: Methods and Applications (SIGMA): Proceedings of the VIIth Workshop ''Quantum Physics with Non-Hermitian Operators (2008, Benasque, Spain), vol. 5, Institute of Mathematics, Jan 2009.

The definitive version is available at https://doi.org/10.3842/SIGMA.2009.005

Meeting Name

Proceedings of the VIIth Workshop ''Quantum Physics with Non-Hermitian Operators (2008: Jun. 29- Jul. 11, Benasque, Spain)

Department(s)

Physics

Keywords and Phrases

Asymptotics; Higher-order Corrections; Instantons; PT-symmetry

International Standard Serial Number (ISSN)

1815-0659

Document Type

Article - Conference proceedings

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2009 Institute of Mathematics, All rights reserved.

Publication Date

01 Jan 2009