Convergence of an exact quantization scheme
Artur Avila
Abstract
It has been shown by Voros V that the spectrum of the one-dimensional homogeneous anharmonic oscillator (Schrödinger operator with potential q2M, M>1) is a fixed point of an explicit non-linear transformation. We show that this fixed point is globally and exponentially attractive in spaces of properly normalized sequences.
Create a lesson
Related papers
Limit cycles of singular algebraic foliations on the real projective plane
Tianwei Gan, Hongjin He, Dongmei Xiao
Quadratic Hubbard trees, automata, and ray connections
Eduardo Ventilari Sodré
Algorithmic Non-dimensionalisation of Polynomial Dynamical Systems with CRNNondim
Georgio Hawi, Martin Wechselberger
Statistical Stability and Linear Response for Suspension Measures under Base and Roof Perturbations
Aparna Rajput
Generating Forbidden Words and Measures of Maximal Entropy for Subshifts
Xinxing Wu, Xu Zhang
Large deviation of preimages of points under the dynamics of a holomorphic correspondence
Bharath Krishna Seshadri, Shrihari Sridharan