39 citations · 153 across the 14 of their papers we have counts for
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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…
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…
The periodic defocusing Ablowitz-Ladik equation and the geometry of Floquet CMV matrices
Luen-Chau Li, Irina Nenciu
In this work, we show that the periodic defocusing Ablowitz-Ladik equation can be expressed as an isospectral deformation of Floquet CMV matrices. We then introduce a Poisson Lie g…
On essential self-adjointness for magnetic Schroedinger and Pauli operators on the unit disc in R^2
Gh. Nenciu, I. Nenciu
We study the question of magnetic confinement of quantum particles on the unit disk $\ID$ in $\IR^2$, i.e. we wish to achieve confinement solely by means of the growth of the magne…
CMV matrices in random matrix theory and integrable systems: a survey
Irina Nenciu
We present a survey of recent results concerning a remarkable class of unitary matrices, the CMV matrices. We are particularly interested in the role they play in the theory of ran…