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Open Quantum Systems Decoherence
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Generalized Nonanalytic Expansions, PT-Symmetry and Large-Order Formulas for Odd Anharmonic Oscillators
arXiv
Authors: Ulrich D. Jentschura, Andrey Surzhykov, Jean Zinn-Justin
Year
2009
Paper ID
9285
Status
Preprint
Abstract Read
~2 min
Abstract Words
52
Citations
N/A
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.
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- The concept of a generalized nonanalytic expansion which involves nonanalytic combinations of exponentials, logarithms and powers of a coupling is introduced and its use...
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