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
- Rigoberto Medina, Manuel Pinto, Conditionally integrable perturbations of linear differential systems , CUBO, A Mathematical Journal: No. 7 (1991): CUBO, Revista de Matemática
- Oscar Rojo J., Ricardo Soto, On the construction of Jacobi matrices from spectral data , CUBO, A Mathematical Journal: No. 4 (1988): CUBO, Revista de Matemática
- Moussa Barro, Aboudramane Guiro, Dramane Ouedraogo, Optimal control of a SIR epidemic model with general incidence function and a time delays , CUBO, A Mathematical Journal: Vol. 20 No. 2 (2018)
- Youssef N. Raffoul, Ernest Yankson, Positive periodic solutions of functional discrete systems with a parameter , CUBO, A Mathematical Journal: Vol. 21 No. 1 (2019)
- P. Jeyanthi, K. Jeya Daisy, Andrea SemaniÄová-feňovÄíková, \(Z_k\)-magic labeling of path union of graphs , CUBO, A Mathematical Journal: Vol. 21 No. 2 (2019)
- Aymen Ammar, Aref Jeribi, Kamel Mahfoudhi, Generalized trace pseudo-spectrum of matrix pencils , CUBO, A Mathematical Journal: Vol. 21 No. 2 (2019)
- Wilfrid Hodges, Saharon Shelah, Naturality and definability II , CUBO, A Mathematical Journal: Vol. 21 No. 3 (2019)
- Moussa Barro, Sado Traoré, Level sets regularization with application to optimization problems , CUBO, A Mathematical Journal: Vol. 22 No. 1 (2020)
- P. Jeyanthi, S. Philo, Odd Harmonious Labeling of Some Classes of Graphs , CUBO, A Mathematical Journal: Vol. 22 No. 3 (2020)
- Abdeldjalil Aouane, Smaïl Djebali, Mohamed Aziz Taoudi, Mild solutions of a class of semilinear fractional integro-differential equations subjected to noncompact nonlocal initial conditions , CUBO, A Mathematical Journal: Vol. 22 No. 3 (2020)
<< < 13 14 15 16 17 18 19 20 21 22 23 24 > >>
You may also start an advanced similarity search for this article.
