The absence of absolutely continuous spectra of 1-dimensional Schrödinger operators (Q1340387)
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: The absence of absolutely continuous spectra of 1-dimensional Schrödinger operators |
scientific article; zbMATH DE number 701495
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The absence of absolutely continuous spectra of 1-dimensional Schrödinger operators |
scientific article; zbMATH DE number 701495 |
Statements
The absence of absolutely continuous spectra of 1-dimensional Schrödinger operators (English)
0 references
19 December 1994
0 references
The author considers the one-dimensional Schrödinger equation with a bounded potential satisfying certain conditions. Using the results of \textit{B. Simon} and \textit{T. Spencer} [Commun. Math. Phys. 125, No. 1, 113- 125 (1989; Zbl 0684.47010)], it is shown that the corresponding Hamiltonian does not have any negative absolutely continuous spectrum.
0 references
one-dimensional Schrödinger equation
0 references
bounded potential
0 references
Hamiltonian
0 references
absolutely continuous spectrum
0 references
0.9526964
0 references
0.92503357
0 references
0.92430365
0 references
0.9200004
0 references
0.91949606
0 references
0.9189113
0 references
0.9091637
0 references
