Abdallah Khochman

activity

20062012

most citedResonances and Spectral Shift Function for the semi-classical Dirac operator

7 citations · 7 across the 3 of their papers we have counts for

collaborators

4 papers

math.SP2012

Spectral asymptotics for magnetic Schrödinger operators in domains with corners

Ayman Kachmar, Abdallah Khochman

This paper is on magnetic Schrodinger operators in two dimensional domains with corners. Semiclassical formulas are obtained for the sum and number of eigenvalues. The obtained res…

math.SP2009

Resonances and Spectral Shift Function for a Magnetic SCHRÖdinger Operator

Abdallah Khochman

We consider the 3D Schrödinger operator $H_{0}$ with constant magnetic field and subject to an electric potential $v_{0}$ depending only on the variable along the magnetic field $x_{3}$ .…

math.SP2007

Klein paradox and Scattering theory for the semi-classical Dirac equation

Abdallah Khochman

We study the Klein paradox for the semi-classical Dirac operator on $R$ with potentials having constant limits, not necessarily the same at infinity. Using the complex WKB method,…

math.SP2006★ 7 cited

Resonances and Spectral Shift Function for the semi-classical Dirac operator

Abdallah Khochman

We consider the self-adjoint operator $H = H_{0} + V$ , where $H_{0}$ is the free semi-classical Dirac operator on $R^{3}$ . We suppose that the smooth matrix-valued potential $V=O(<x>^{-δ}),…