| Title:
|
Über Verallgemeinerungen des Virialsatzes und Existenzfragen von Eigenwerten bei Schrödingeroperatoren (German) |
| Title:
|
On generalizations of the Virial theorem and questions of existence for eigenvalues of the Schrödinger operators (English) |
| Author:
|
Müller-Pfeiffer, Erich |
| Language:
|
German |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
26 |
| Issue:
|
3 |
| Year:
|
1976 |
| Pages:
|
458-469 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
35P15 |
| MSC:
|
81.35 |
| idZBL:
|
Zbl 0345.35031 |
| idMR:
|
MR0442507 |
| DOI:
|
10.21136/CMJ.1976.101419 |
| . |
| Date available:
|
2008-06-09T14:19:50Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101419 |
| . |
| Reference:
|
[1] S. Albeverio: On the bound states in the continuum of $N$-body systems and the virial theorem.Ann. Physics 71 (1972), 167-276. MR 0300574, 10.1016/0003-4916(72)90305-3 |
| Reference:
|
[2] L. Hörmander: Linear partial differential operators.Berlin-Göttingen-Heidelberg 1963. MR 0161012 |
| Reference:
|
[3] H. Kalf: The quantum mechanical virial theorem and the absence of positive energy bound states of Schrödinger operators.Israel. J. Math, (im Druck). Zbl 0302.35072, MR 0372438 |
| Reference:
|
[4] T. Kato: Perturbation theory of operators.Berlin-Heidelberg-New York 1966. MR 0203473 |
| Reference:
|
[5] E. Müller-Pfeiffer: Über die Lokalisierung des wesentlichen Spektrums des Schrödinger-operators.Math. Nachr. 46 (1970), 157-170. MR 0279635, 10.1002/mana.19700460113 |
| Reference:
|
[6] F. Odeh: Note on differential operators with a purely continuous spectrum.Proc. Amer. Math. Soc. 16 (1965), 363-366. Zbl 0125.33502, MR 0177193, 10.1090/S0002-9939-1965-0177193-6 |
| Reference:
|
[7] M. Schechter: Spectra of partial differential operators.Amsterdam -London 1971. Zbl 0225.35001, MR 0447834 |
| Reference:
|
[8] J. Weidmann: The virial theorem and its application to the spectral theory of Schrödinger operators.Bull. Amer. Math. Soc. 73 (1967), 452-456. Zbl 0156.23304, MR 0208197, 10.1090/S0002-9904-1967-11781-6 |
| . |
