THE OPERATOR EXTENSION THEORY, SEMITRANSPARENT SURFACE AND SHORT-RANGE POTENTIAL

Authors
POPOV IY
Citation
Iy. Popov, THE OPERATOR EXTENSION THEORY, SEMITRANSPARENT SURFACE AND SHORT-RANGE POTENTIAL, Mathematical proceedings of the Cambridge Philosophical Society, 118, 1995, pp. 555-563
Citations number
12
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Mathematical proceedings of the Cambridge Philosophical Society → ACNP
ISSN journal
03050041
Volume
118
Year of publication
1995
Part
3
Pages
555 - 563
Database
ISI
SICI code
0305-0041(1995)118:<555:TOETSS>2.0.ZU;2-E
Abstract
Solvable model of a quantum dot as a resonator with semitransparent bo undary is constructed in the framework: of the operator extensions the ory. It is proved that the model operator is a limit of the short rang e Hamiltonians in the norm resolvent sense.