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math.SP2023
Flux and symmetry effects on quantum tunneling
Bernard Helffer, Ayman Kachmar, Mikael Persson Sundqvist
Motivated by the analysis of the tunneling effect for the magnetic Laplacian, we introduce an abstract framework for the spectral reduction of a self-adjoint operator to a hermitia…
math.FA2023
Stability estimates for semigroups in the Banach case
Bernard Helffer
The purpose of this paper is to revisit previous works of the author with J. Sjöstrand (2010--2021) proved in the Hilbert case by considering the Banach case at the light of a pape…