Add to ORKGThe spectral and scattering theory for 1-dimensional Dirac operators with mass m and with zero-range interactions are fully investigated. Explicit expressions for the wave op-erators and for the scattering operator are provided. These new formulae take place in a representation which links, in a suitable way, the energies 1 and +1, and which empha-sizes the role of m. Finally, a topological version of Levinson's theorem is deduced, with the threshold effects at m automatically taken into account. 2010 Mathematics Subject Classication: 81U15, 35Q41
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We study spectral properties of some discrete Dirac operators with nonzero potential only at some sp...
Abstract. Oscillation theory for one-dimensional Dirac operators with sep-arated boundary conditions...
This thesis explores the spectral properties of Schrödinger-type operators on variousdomains such as...
17 pagesInternational audienceThe spectral and scattering theory for 1-dimensional Dirac operators w...
We consider the ID massless Dirac operator on the real line with compactly supported potentials. We ...
We investigate one-dimensional (2p × 2p)-matrix Dirac operators DX,α and DX,β with point matrix inte...
A potential for the one-dimensional Dirac operator is constructed such that its essential spectrum d...
Abstract. Given a one-dimensional weighted Dirac operator we can define a spectral measure by virtue...
We show that the absolutely continuous part of the spectral function of the one-dimensional Dirac op...
AbstractLow-energy scattering for Schrödinger operators of the type H= −Δ + V in L2(R) with ∫Rdx V(x...
We prove that a Schnol'-type theorem holds for massless Dirac operators under minimal assumptions on...
Methods from scattering theory are introduced to analyze random Schroedinger operators in one dimens...
Abstract. Given a one-dimensional weighted Dirac operator we can define a spectral measure by virtue...
AbstractWe develop relative oscillation theory for one-dimensional Dirac operators which, rather tha...
This paper presents a su± cient condition for a one-dimensional Dirac operator with a potential ten...
We study spectral properties of some discrete Dirac operators with nonzero potential only at some sp...
Abstract. Oscillation theory for one-dimensional Dirac operators with sep-arated boundary conditions...
This thesis explores the spectral properties of Schrödinger-type operators on variousdomains such as...