Continuum limit of the lattice quantum graph Hamiltonian

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F22%3A00560405" target="_blank" >RIV/61389005:_____/22:00560405 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21340/22:00364204
Result on the web
<a href="https://doi.org/10.1007/s11005-022-01576-5" target="_blank" >https://doi.org/10.1007/s11005-022-01576-5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11005-022-01576-5" target="_blank" >10.1007/s11005-022-01576-5</a>

Result language
angličtina
Original language name
Continuum limit of the lattice quantum graph Hamiltonian
Original language description
We consider the quantum graph Hamiltonian on the square lattice in Euclidean space, and we show that the spectrum of the Hamiltonian converges to the corresponding Schrodinger operator on the Euclidean space in the continuum limit, and that the corresponding eigenfunctions and eigenprojections also converge in some sense. We employ the discrete Schrodinger operator as the intermediate operator, and we use a recent result by the second and third authors on the continuum limit of the discrete Schrodinger operator.
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
10101 - Pure mathematics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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