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The operator extension theory, semitransparent surface and short range potential

Published online by Cambridge University Press:  24 October 2008

I. Yu. Popov
I. Yu. Popov
Affiliation:
Department of Higher Mathematics, Leningrad Institute of Fine Mechanics and Optics, Sablinskaya, 14, 197101, Leningrad, Russia
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Abstract

Solvable model of a quantum dot as a resonator with semitransparent boundary is constructed in the framework of the operator extensions theory. It is proved that the model operator is a limit of the short range Hamiltonians in the norm resolvent sense.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 118 , Issue 3 , November 1995 , pp. 555 - 563
Copyright
Copyright © Cambridge Philosophical Society 1995

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References

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