On the Two-Dimensional Quantum Confined Stark Effect in Strong Electric Fields

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F22%3A00363873" target="_blank" >RIV/68407700:21340/22:00363873 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1137/20M1386712" target="_blank" >https://doi.org/10.1137/20M1386712</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1137/20M1386712" target="_blank" >10.1137/20M1386712</a>

Result language
angličtina
Original language name
On the Two-Dimensional Quantum Confined Stark Effect in Strong Electric Fields
Original language description
We consider a Stark Hamiltonian on a two-dimensional bounded domain with Dirichlet boundary conditions. In the strong electric field limit we derive, under certain local convexity conditions, a three-term asymptotic expansion of the low-lying eigenvalues. This shows that the excitation frequencies are proportional to the square root of the boundary curvature at a certain point determined by the direction of the electric field.
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
10102 - Applied mathematics

Project
<a href="/en/project/GX20-17749X" target="_blank" >GX20-17749X: New challenges for spectral theory: geometry, advanced materials and complex fields</a><br>
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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