On rank one singular perturbations of selfadjoint operators (Q2777862)
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: On rank one singular perturbations of selfadjoint operators |
scientific article; zbMATH DE number 1718911
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On rank one singular perturbations of selfadjoint operators |
scientific article; zbMATH DE number 1718911 |
Statements
13 March 2002
0 references
rank one singular perturbations
0 references
zero-range potential
0 references
selfadjoint extension
0 references
selfadjoint operators
0 references
resolvents
0 references
boundary conditions
0 references
additive sums
0 references
regularizations
0 references
approximations
0 references
bilinear forms
0 references
Schrödinger operators
0 references
On rank one singular perturbations of selfadjoint operators (English)
0 references
The paper is devoted to the comparison of various approaches to the rank one singular perturbations of selfadjoint operators. In particular, the author establishes equivalence of their formulations in terms of resolvents, selfadjoint extensions, boundary conditions, additive sums, regularizations, approximations, and bilinear forms. As applications the Schrödinger operators with \(\delta\)-, \(\delta'\)-, and more general zero-range potentials are considered.
0 references
