Related Experiment Video
Updated: Jun 25, 2026

Assembly and Characterization of an External Driver for the Generation of Sub-Kilohertz Oscillatory Flow in Microchannels
Published on: January 28, 2022
Unified treatment of even and odd anharmonic oscillators of arbitrary degree
Ulrich D Jentschura1, Andrey Surzhykov, Jean Zinn-Justin
1Department of Physics, Missouri University of Science and Technology, Rolla Missouri 65409-0640, USA.
Abstract:
We present a unified treatment, including higher-order corrections, of anharmonic oscillators of arbitrary even and odd degree. Our approach is based on a dispersion relation which takes advantage of the PT symmetry of odd potentials for imaginary coupling parameter, and of generalized quantization conditions which take into account instanton contributions. We find a number of explicit new results, including the general behavior of large-order perturbation theory for arbitrary levels of odd anharmonic oscillators, and subleading corrections to the decay width of excited states for odd potentials, which are numerically significant.
Related Concept Videos
Even and Odd Signals
Properties of Fourier series II
A function f(t) is...
One-Degree-of-Freedom System
A one-degree-of-freedom system is defined by an independent variable that determines its state and behavior. One example of a one-degree-of-freedom system is a simple harmonic oscillator, such as a...
Forced Oscillations
Oscillations about an Equilibrium Position
Damped Oscillations
Although friction and other non-conservative...

