2 citations · 2 across the 2 of their papers we have counts for
4 papers
Gibbs measures as unique KMS equilibrium states of nonlinear Hamiltonian PDEs
Zied Ammari, Vedran Sohinger
The classical Kubo-Martin-Schwinger (KMS) condition is a fundamental property of statistical mechanics characterizing the equilibrium of infinite classical mechanical systems. It w…
A path-integral analysis of interacting Bose gases and loop gases
Jürg Fröhlich, Antti Knowles, Benjamin Schlein +1
We review some recent results on interacting Bose gases in thermal equilibrium. In particular, we study the convergence of the grand-canonical equilibrium states of such gases to t…
A microscopic derivation of Gibbs measures for nonlinear Schrödinger equations with unbounded interaction potentials
Vedran Sohinger
We study the derivation of the Gibbs measure for the nonlinear Schrödinger equation (NLS) from many-body quantum thermal states in the high-temperature limit. In this paper, we con…
Unconditional Uniqueness Results for the Nonlinear Schrödinger Equation
Sebastian Herr, Vedran Sohinger
We study the problem of unconditional uniqueness of solutions to the cubic nonlinear Schrödinger equation. We introduce a new strategy to approach this problem on bounded domains,…