A variation on Smilansky's model
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F14%3AA1501CXT" target="_blank" >RIV/61988987:17310/14:A1501CXT - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
A variation on Smilansky's model
Original language description
We discuss a model which modifies the system studied first by Smilansky. In our case a singular potential ?channel? is replaced by a regular, below unbounded potential which shrinks as it becomes deeper. We demonstrate that, similarly to the original model, such a system exhibits a spectral transition with respect to the coupling constant, and determine the critical value above which a new spectral branch opens. The result is generalized to situations with multiple potential ?channels?.
Czech name
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Czech description
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Classification
Type
C - Chapter in a specialist book
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
V - Vyzkumna aktivita podporovana z jinych verejnych zdroju
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Book/collection name
Mathematical Results in Quantum Mechanics
ISBN
978-981-4618-13-7
Number of pages of the result
6
Pages from-to
201-206
Number of pages of the book
396
Publisher name
World Scientific Publishing Co.
Place of publication
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UT code for WoS chapter
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