The return of the quartic oscillator. The complex WKB method

A. Voros

Displaying similar documents to “The return of the quartic oscillator. The complex WKB method”

Resurgent methods in semi-classical asymptotics

Eric Delabaere, Frédéric Pham (1999)

Annales de l'I.H.P. Physique théorique

Similarity:

Semi-classical eigenstates at the bottom of a multidimensional well

T. F. Pankratova (1995)

Annales de l'I.H.P. Physique théorique

Similarity:

Resurgence relations for classes of differential and difference equations

Boele Braaksma, Robert Kuik (2004)

Annales de la Faculté des sciences de Toulouse : Mathématiques

Similarity:

Borel summation and splitting of separatrices for the Hénon map

Vassili Gelfreich, David Sauzin (2001)

Annales de l’institut Fourier

Similarity:

We study two complex invariant manifolds associated with the parabolic fixed point of the area-preserving Hénon map. A single formal power series corresponds to both of them. The Borel transform of the formal series defines an analytic germ. We explore the Riemann surface and singularities of its analytic continuation. In particular we give a complete description of the “first” singularity and prove that a constant, which describes the splitting of the invariant manifolds, does not vanish....

Nonlinear Evolution Equations and Analyticity. I

Tosio Kato, Kyûya Masuda (1986)

Annales de l'I.H.P. Analyse non linéaire

Similarity: