Generalized nonanalytic expansions, PT-symmetry and large-order formulas for odd anharmonic oscillators

Ulrich D. Jentschura, Andrey Surzhykov, Jean Zinn-Justin

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5 Citations (Scopus)

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.

Original languageEnglish
Article number005
JournalSymmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume5
DOIs
Publication statusPublished - Jan 1 2009

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Keywords

  • Asymptotics
  • Higher-order corrections
  • Instantons
  • PT-symmetry

ASJC Scopus subject areas

  • Analysis
  • Mathematical Physics
  • Geometry and Topology

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