Generalized Nonanalytic Expansions, PT-Symmetry and Large-Order Formulas for Odd Anharmonic Oscillators
Mathematical Physics
2013-09-10 v1 High Energy Physics - Theory
math.MP
Quantum Physics
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.
Keywords
Cite
@article{arxiv.0901.1858,
title = {Generalized Nonanalytic Expansions, PT-Symmetry and Large-Order Formulas for Odd Anharmonic Oscillators},
author = {Ulrich D. Jentschura and Andrey Surzhykov and Jean Zinn-Justin},
journal= {arXiv preprint arXiv:0901.1858},
year = {2013}
}