Search
Search Results
-
Norm resolvent convergence of Dirichlet Laplacian in unbounded thin waveguides
The proof of norm resolvent convergence of Dirichlet Laplacian to effective operators, as the diameter of spatial waveguides vanishes, is extended to...
-
Relative Convergence Estimates for the Spectral Asymptotic in the Large Coupling Limit
We prove optimal convergence estimates for eigenvalues and eigenvectors of a class of singular/stiff perturbed problems. Our profs are constructive...
-
On Pseudo-Hermitian Operators with Generalized C-symmetries
The concept of C-symmetries for pseudo-Hermitian Hamiltonians is studied in the Krein space framework. A generalization of C-symmetries is suggested. -
Stability Properties of Feynman's Operational Calculus for Exponential Functions of Noncommuting Operators
Stability properties of Feynman's operational calculus are addressed in the setting of exponential functions of noncommuting operators. Applications...
-
On the One Dimensional Behaviour of Atoms in Intense Homogeneous Magnetic Fields
We show that the Hamiltonian of an atomic ion with N bosonic electrons which is submitted to an homogeneous magnetic field and when appropriately... -
Rank one perturbations of not semibounded operators
Rank one perturbations of selfadjoint operators which are not necessarily semibounded are studied in the present paper. It is proven that such...
-