Spectral Theory for Schrodinger Operators with delta-Interactions Supported on Curves in R-3

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F17%3A00474562" target="_blank" >RIV/61389005:_____/17:00474562 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s00023-016-0532-3" target="_blank" >http://dx.doi.org/10.1007/s00023-016-0532-3</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00023-016-0532-3" target="_blank" >10.1007/s00023-016-0532-3</a>

Result language
angličtina
Original language name
Spectral Theory for Schrodinger Operators with delta-Interactions Supported on Curves in R-3
Original language description
The main objective of this paper is to systematically develop a spectral and scattering theory for self-adjoint Schrodinger operators with delta-interactions supported on closed curves in R-3. We provide bounds for the number of negative eigenvalues depending on the geometry of the curve, prove an isoperimetric inequality for the principal eigenvalue, derive Schatten-von Neumann properties for the resolvent difference with the free Laplacian, and establish an explicit representation for the scattering matrix.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

Project
<a href="/en/project/GA14-06818S" target="_blank" >GA14-06818S: Rigorous Methods in Quantum Dynamics: Geometry and Magnetic Fields</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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