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

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

2009-01-13

arxiv.org/abs/0901.1858v1

SIGMA 5:005,2009

Physics

Mathematical Physics

Scientific paper

10.3842/SIGMA.2009.005

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.

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