Title

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

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.

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.

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