Add to ORKGWe consider the ID massless Dirac operator on the real line with compactly supported potentials. We study resonances as the poles of scattering matrix or equivalently as the zeros of modified Fredholm determinant. We obtain the following properties of the resonances: (1) asymptotics of counting function, (2) estimates on the resonances and the forbidden domain, (3) the trace formula in terms of resonances. (C) 2014 Elsevier Inc: All rights reserved
AbstractWe determine the leading asymptotics of the resonance counting function for a class of Schrö...
24 pagesWe study the asymptotic distribution of the resonances near the Landau levels $\Lambda_q =(...
We show that the absolutely continuous part of the spectral function of the one-dimensional Dirac op...
We consider the 1D massless Dirac operator on the real line with compactly supported potentials. We ...
This thesis consists of a summary of four papers dealing with resonances of Dirac operators on Eucli...
We consider self-adjoint Dirac operators D = D0 + V(x), where D0 is the free three-dimensional Dirac...
The spectral and scattering theory for 1-dimensional Dirac operators with mass m and with zero-range...
We show that the non-embedded eigenvalues of the Dirac operator on the real line with complex mass a...
Motivated by their appearance in the physical sciences, scattering resonances of the three-dimension...
We study the self-adjoint Dirac operators D = D0 + V (x), where D0 is the free three-dimensional Dir...
We prove that a Schnol'-type theorem holds for massless Dirac operators under minimal assumptions on...
The zero modes and zero resonances of the Dirac operator H = α ·D +Q(x) are discussed, where α = (α1...
We discuss resonances for Schrödinger operators in whole- and half-line problems. One of our goals i...
Many typos were corrected.The present paper is devoted to the study of resonances for one-dimensiona...
Abstract. Oscillation theory for one-dimensional Dirac operators with sep-arated boundary conditions...
AbstractWe determine the leading asymptotics of the resonance counting function for a class of Schrö...
24 pagesWe study the asymptotic distribution of the resonances near the Landau levels $\Lambda_q =(...
We show that the absolutely continuous part of the spectral function of the one-dimensional Dirac op...
We consider the 1D massless Dirac operator on the real line with compactly supported potentials. We ...
This thesis consists of a summary of four papers dealing with resonances of Dirac operators on Eucli...
We consider self-adjoint Dirac operators D = D0 + V(x), where D0 is the free three-dimensional Dirac...
The spectral and scattering theory for 1-dimensional Dirac operators with mass m and with zero-range...
We show that the non-embedded eigenvalues of the Dirac operator on the real line with complex mass a...
Motivated by their appearance in the physical sciences, scattering resonances of the three-dimension...
We study the self-adjoint Dirac operators D = D0 + V (x), where D0 is the free three-dimensional Dir...
We prove that a Schnol'-type theorem holds for massless Dirac operators under minimal assumptions on...
The zero modes and zero resonances of the Dirac operator H = α ·D +Q(x) are discussed, where α = (α1...
We discuss resonances for Schrödinger operators in whole- and half-line problems. One of our goals i...
Many typos were corrected.The present paper is devoted to the study of resonances for one-dimensiona...
Abstract. Oscillation theory for one-dimensional Dirac operators with sep-arated boundary conditions...
AbstractWe determine the leading asymptotics of the resonance counting function for a class of Schrö...
24 pagesWe study the asymptotic distribution of the resonances near the Landau levels $\Lambda_q =(...
We show that the absolutely continuous part of the spectral function of the one-dimensional Dirac op...