Tunnel effect and symmetries for non-selfadjoint operators
Tunnel effect and symmetries for non-selfadjoint operators
We study low lying eigenvalues for non-selfadjoint semiclassical differential operators, where symmetries play an important role. In the case of the Kramers-Fokker-Planck operator, we show how the presence of certain supersymmetric and 𝒫𝒯-symmetric structures leads to precise results concerning the reality and the size of the exponentially small eigenvalues in …