27 citations · 129 across the 19 of their papers we have counts for
18 papers
Effective Dynamics of Translationally Invariant Magnetic Schrödinger Equations in the High Field Limit
Gheorghe Nenciu, Evelyn Richman, Christof Sparber
We study the large field limit in Schrödinger equations with magnetic vector potentials describing translationally invariant -fields with respect to the -axis. In a first ste…
Essential self-adjointness of symmetric first-order differential systems and confinement of Dirac particles on bounded domains in
Gheorghe Nenciu, Irina Nenciu, Ryan Obermeyer
We prove essential self-adjointness of Dirac operators with Lorentz scalar potentials which grow sufficiently fast near the boundary of the spatial domain $Ω\subset\mat…
On essential self-adjointness for first order differential operators on domains in
Gheorghe Nenciu, Irina Nenciu
We consider general symmetric systems of first order linear partial differential operators on domains , and we seek sufficient conditions on the coefficients…
On the adiabatic theorem when eigenvalues dive into the continuum
Horia D. Cornean, Arne Jensen, Hans Konrad Knörr +1
We consider a reduced two-channel model of an atom consisting of a quantum dot coupled to an open scattering channel described by a three-dimensional Laplacian. We are interested i…
Drift-diffusion equations on domains in : essential self-adjointness and stochastic completeness
Gheorghe Nenciu, Irina Nenciu
We consider the problem of quantum and stochastic confinement for drift-diffusion equations on domains . We obtain various sufficient conditions on the behav…
On the construction of composite Wannier functions
Horia D. Cornean, Ira Herbst, Gheorghe Nenciu
We give a constructive proof for the existence of an -dimensional Bloch basis which is both smooth (real analytic) and periodic with respect to its -dimensional quasi-momenta…