48 citations · 130 across the 27 of their papers we have counts for
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math-ph2015
Non-autonomous quantum systems with scale-dependent interface conditions
Andrea Mantile
We consider a class of modified Schroedinger operators where the semiclassical Laplacian is perturbed with h-dependent interface conditions occurring at the boundaries of the poten…
math.AP2015★ 48 cited
Self-adjoint elliptic operators with boundary conditions on not closed hypersurfaces
A. Mantile, A. Posilicano, M. Sini
The abstract theory of self-adjoint extensions of symmetric operators is used to construct self-adjoint realizations of a second-order elliptic operator on with li…
math-ph2015
A linearized model of quantum transport with interface conditions in the adiabatic regime
Andrea Mantile
We introduce a modified model where h-dependent artificial interface conditions, occurring at the boundary of an interaction region, allow to obtain adiabatic approximations for th…