Spectral Shift Function for Schr¨odinger Operators in Constant Magnetic Fields
-
Georgi Raikov
graykov@uchile.cl
Downloads
Abstract
We consider the three-dimensional Schr¨odinger operator with constant magnetic field, perturbed by an appropriate short-range electric potential, and investigate various asymptotic properties of the corresponding spectral shift function (SSF). First, we analyse the singularities of the SSF at the Landau levels. Further, we study the strong magnetic field asymptotic behaviour of the SSF; here we distinguish between the asymptotics far from the Landau levels, and near a given Landau level. Finally, we obtain a Weyl-type formula describing the high energy behaviour of the SSF.
This is a survey article on recent published results obtained by the author jointly with Vincent Bruneau, Claudio Fern´andez, and Alexander Pushnitski. A shorter version will appear in the Proceedings of the Conference QMath9, Giens, France, September 2004.
Keywords
Most read articles by the same author(s)
- Jean-François Bony, Vincent Bruneau, Philippe Briet, Georgi Raikov, Resonances and SSF Singularities for Magnetic Schrödinger Operators , CUBO, A Mathematical Journal: Vol. 11 No. 5 (2009): CUBO, A Mathematical Journal
Similar Articles
- Naoyuki Koike, Mean curvature flow of certain kind of isoparametric foliations on non-compact symmetric spaces , CUBO, A Mathematical Journal: Vol. 20 No. 3 (2018)
- Takahiro Sudo, Spectral Rank for ð¶*-Algebras , CUBO, A Mathematical Journal: Vol. 10 No. 2 (2008): CUBO, A Mathematical Journal
- A. Leit˜ao, J.P. Zubelli, Iterative Regularization Methods for a Discrete Inverse Problem in MRI , CUBO, A Mathematical Journal: Vol. 10 No. 2 (2008): CUBO, A Mathematical Journal
- Xinhou Hua, R´emi Vaillancourt, Prime Factorization of Entire Functions , CUBO, A Mathematical Journal: Vol. 10 No. 1 (2008): CUBO, A Mathematical Journal
- David Békollè, Khalil Ezzinbi, Samir Fatajou, Duplex Elvis Houpa Danga, Fritz Mbounja Béssémè, Convolutions in \((\mu,\nu)\)-pseudo-almost periodic and \((\mu,\nu)\)-pseudo-almost automorphic function spaces and applications to solve integral equations , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
- George A. Anastassiou, Quantitative Approximation by a Kantorovich-Shilkret quasi-interpolation neural network operator , CUBO, A Mathematical Journal: Vol. 20 No. 3 (2018)
- Boukhemis Ammar, On the classical 2−orthogonal polynomials sequences of Sheffer-Meixner type , CUBO, A Mathematical Journal: Vol. 7 No. 2 (2005): CUBO, A Mathematical Journal
- Saleh S. Almuthaybiri, Jagan Mohan Jonnalagadda, Christopher C. Tisdell, Existence and uniqueness of solutions to discrete, third-order three-point boundary value problems , CUBO, A Mathematical Journal: Vol. 23 No. 3 (2021)
- Essozimna Kpizim, Bertin Dehigbe, Ramkumar Kasinathan, Ravikumar Kasinathan, Mamadou Abdoul Diop, Approximate controllability of non-instantaneous impulsive stochastic integrodifferential equations driven by Rosenblatt process via resolvent operators , CUBO, A Mathematical Journal: Vol. 25 No. 3 (2023)
- Abderemane Morame, Françoise Truc, Accuracy on eigenvalues for a Schrödinger operator with a degenerate potential in the semi-classical limit , CUBO, A Mathematical Journal: Vol. 9 No. 2 (2007): CUBO, A Mathematical Journal
<< < 6 7 8 9 10 11 12 13 14 15 16 17 > >>
You may also start an advanced similarity search for this article.
