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Asymptotics Near +/- m of the Spectral Shift Function for Dirac Operators with Non-Constant Magnetic Fields
(TAYLOR & FRANCIS INC, 2011)
We consider a 3-dimensional Dirac operator H0 with non-constant magnetic field of constant direction, perturbed by a sign-definite matrix-valued potential V decaying fast enough at infinity. Then we determine asymptotics, ...
Spectral properties of a magnetic quantum Hamiltonian on a strip
(IOS PRESS, 2008)
We consider a 2D Schrodinger operator H(0) with constant magnetic field, on a strip of finite width. The spectrum of H(0) is absolutely continuous, and contains a discrete set of thresholds. We perturb H(0) by an electric ...
Low Energy Asymptotics of the Spectral Shift Function for Pauli Operators with Nonconstant Magnetic Fields
(KYOTO UNIV, 2010)
We consider the 3D Pauli operator with nonconstant magnetic field B of constant direction, perturbed by a symmetric matrix-valued electric potential V whose coefficients decay fast enough at infinity We investigate the ...
Resonances and spectral shift function near the Landau levels
(ANNALES DE L INSTITUT FOURIER, 2007)
We consider the 3D Schrodinger operator H = H-0 + V where H-0 = (-i del - A)(2) - b, A is a magnetic potential generating a constant magneticfield of strength b > 0, and V is a short-range electric potential which decays ...
Spectral shift function for magnetic schrodinger operators
(SPRINGER, 2006)