Asymptotic distribution of negative eigenvalues for two dimensional Pauli operators with spherically symmetric magnetic fields (Q1277148)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Asymptotic distribution of negative eigenvalues for two dimensional Pauli operators with spherically symmetric magnetic fields |
scientific article; zbMATH DE number 1247878
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic distribution of negative eigenvalues for two dimensional Pauli operators with spherically symmetric magnetic fields |
scientific article; zbMATH DE number 1247878 |
Statements
Asymptotic distribution of negative eigenvalues for two dimensional Pauli operators with spherically symmetric magnetic fields (English)
0 references
2 February 1999
0 references
The asymptotic distribution of the negative eigenvalues for a class of 2-D Pauli operators with smooth positive spherically symmetric variable magnetic fields, perturbed by smooth electric potentials, is studied. An asymptotic formula for the number of negative eigenvalues less than a specified value of the eigenvalue parameter is derived, based on the mini-max principle and the perturbation theory of singular number of compact operators, generalising results of previous analysis.
0 references
variable magnetic fields
0 references
mini-max principle
0 references
singular number
0 references
compact operators
0 references
