output
19972022
most citedOn the metric operator for the imaginary cubic oscillator

121 citations

Showing 2012 · math-phShow all

6 papers · 2 filters

math-ph2012

The research program of Stochastic Deformation (with a view toward Geometric Mechanics)

Jean-Claude Zambrini

We give an overview of a program of Stochastic Deformation of Classical Mechanics and the Calculus of Variations, strongly inspired by the quantization method.

math-ph2012★ 3 cited

A deformation of the method of characteristics and the Cauchy problem for Hamiltonian PDEs in the small dispersion limit

Davide Masoero, Andrea Raimondo

We introduce a deformation of the method of characteristics valid for Hamiltonian perturbations of a scalar conservation law in the small dispersion limit. Our method of analysis i…

math-ph2012★ 121 cited

On the metric operator for the imaginary cubic oscillator

Petr Siegl, David Krejcirik

We show that the eigenvectors of the PT-symmetric imaginary cubic oscillator are complete, but do not form a Riesz basis. This results in the existence of a bounded metric operator…

math-ph2012★ 5 cited

Painleve I, Coverings of the Sphere and Belyi Functions

Davide Masoero

The theory of poles of solutions of Painleve-I is equivalent to the Nevanlinna problem of constructing a meromorphic function ramified over five points - counting multiplicities -…

math-ph2012★ 5 cited

From simplicial Chern-Simons theory to the shadow invariant II

Atle Hahn

This is the second of a series of papers in which we introduce and study a rigorous "simplicial" realization of the non-Abelian Chern-Simons path integral for manifolds M of the fo…

math-ph2012★ 5 cited

From simplicial Chern-Simons theory to the shadow invariant I

Atle Hahn

This is the first of a series of papers in which we introduce and study a rigorous "simplicial" realization of the non-Abelian Chern-Simons path integral for manifolds M of the for…