| dc.creator |
Allahverdiev, Bilender |
|
| dc.date |
2004-05-31T21:00:00Z |
|
| dc.date.accessioned |
2020-10-06T11:22:53Z |
|
| dc.date.available |
2020-10-06T11:22:53Z |
|
| dc.identifier |
c525667a-e64f-4d11-be07-0691387190d9 |
|
| dc.identifier |
10.1023/b:pota.0000009815.97987.26 |
|
| dc.identifier |
https://avesis.sdu.edu.tr/publication/details/c525667a-e64f-4d11-be07-0691387190d9/oai |
|
| dc.identifier.uri |
http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/71540 |
|
| dc.description |
Maximal dissipative Schrodinger operators are studied in L-2((-infinity,infinity); E) (dim E = n < &INFIN;) that the extensions of a minimal symmetric operator with defect index (n, n) (in limit-circle case at -&INFIN; and limit point- case at &INFIN;). We construct a selfadjoint dilation of a dissipative operator, carry out spectral analysis of a dilation, use the Lax - Phillips scattering theory, and find the scattering matrix of a dilation. We construct a functional model of the dissipative operator, determine its characteristic function in terms of the Titchmarsh-Weyl function of selfadjoint operator and investigate its analytic properties. Finally, we prove a theorem on completeness of the eigenvectors and associated vectors of a dissipative Schrodinger operators. |
|
| dc.language |
eng |
|
| dc.rights |
info:eu-repo/semantics/closedAccess |
|
| dc.title |
Dissipative Schrodinger operators with matrix potentials |
|
| dc.type |
info:eu-repo/semantics/article |
|