| Title:
|
Remarks on the non self-adjoint Schrödinger operator (English) |
| Author:
|
Fortunato, Donato |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
20 |
| Issue:
|
1 |
| Year:
|
1979 |
| Pages:
|
79-93 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35J10 |
| MSC:
|
35P05 |
| MSC:
|
47F05 |
| idZBL:
|
Zbl 0388.35018 |
| idMR:
|
MR526148 |
| . |
| Date available:
|
2008-06-05T21:00:23Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105903 |
| . |
| Reference:
|
[1] V. BENCI D. FORTUNATO: Discreteness conditions of the spectrum of Schrödinger operators.J. Math. Anal. and Appl. 64 (1978), 695-700. MR 0481616 |
| Reference:
|
[2] F. E. BROWDER: On the spectral theory of elliptic differential operators.Mat. Annalen 142 (1961), 22-130. Zbl 0104.07502, MR 0209909 |
| Reference:
|
[3] I. M. GLAZMAN: Direct methods of the qualitative spectral analysis of singular differential operators.Israel Program of Translations, Jerusalem (1965). MR 0190800 |
| Reference:
|
[4] T. KATO: Perturbation theory for linear operators.Springer Verlag, New York (1966). Zbl 0148.12601, MR 0203473 |
| Reference:
|
[5] T. KATO: Schrödinger operators with singular potentials.Israel J. Math. 13 (1973), 135-148. Zbl 0246.35025, MR 0333833 |
| Reference:
|
[6] V. B. LIDSKII: Conditions for the complete continuity of the resolvent of a nonself-adjoint differential operators.Dokl. Akad. Nauk SSSR 113 (1957), 28-31. MR 0091385 |
| Reference:
|
[7] A. M. MOLCHANOV: The conditions for the discreteness of the spectrum of self-adjoint second-order differential equations.Trudy Moskov. Mat. Obšč. 2 (1953), 169-300. MR 0057422 |
| Reference:
|
[8] M. A. NAIMARK: The spectrum of singular non self-adjoint second order differential operators.Dokl. Akad. Nauk SSSR (1952), 41-44. MR 0051402 |
| Reference:
|
[9] B. S. PAVLOV: The non self-adjoint Schrödinger operator.Topics Math. Phys. 1 (1967), 83-113. |
| Reference:
|
[10] M. REED B. SIMON: Methods of modern Mathematical Physics, I.Academic Press New York (1972). MR 0751959 |
| Reference:
|
[11] M. SCHECHTER: Principles of functional analysis.Academic Press, New York (1971). Zbl 0211.14501, MR 0445263 |
| Reference:
|
[12] T. KATO: On some Schrödinger operators with a singular complex potential.Ann. Sc. Norm. Sup. Pisa 5 (1978), 105-114. Zbl 0376.47021, MR 0492961 |
| . |
