{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T14:44:42Z","timestamp":1787323482049,"version":"3.56.0"},"reference-count":27,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"2","funder":[{"DOI":"10.13039\/501100002702","name":"Aalborg Universitet","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100002702","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002850","name":"Fondo Nacional de Desarrollo Cient\u00edfico y Tecnol\u00f3gico","doi-asserted-by":"publisher","award":["118-0355"],"award-info":[{"award-number":["118-0355"]}],"id":[{"id":"10.13039\/501100002850","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001824","name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky","doi-asserted-by":"publisher","award":["20-17749X"],"award-info":[{"award-number":["20-17749X"]}],"id":[{"id":"10.13039\/501100001824","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Math. Anal."],"published-print":{"date-parts":[[2022,4]]},"abstract":"<jats:p>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.<\/jats:p>","DOI":"10.1137\/20m1386712","type":"journal-article","created":{"date-parts":[[2022,4,11]],"date-time":"2022-04-11T11:44:55Z","timestamp":1649677495000},"page":"2114-2127","source":"Crossref","is-referenced-by-count":4,"title":["On the Two-Dimensional Quantum Confined Stark Effect in Strong Electric Fields"],"prefix":"10.1137","volume":"54","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2700-8785","authenticated-orcid":true,"given":"Horia","family":"Cornean","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"David","family":"Krej\u010di\u0159\u00edk","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Thomas G.","family":"Pedersen","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Nicolas","family":"Raymond","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Edgardo","family":"Stockmeyer","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2022,4,11]]},"reference":[{"key":"atypb1","volume-title":"Lectures on Exponential Decay of Solutions of Second Order Elliptic Equations: Bounds on Eigenfunctions of $N$-Body Schr\u00f6dinger Operators","author":"Agmon S.","year":"1982"},{"key":"atypb2","doi-asserted-by":"publisher","DOI":"10.1137\/070699755"},{"key":"atypb3","doi-asserted-by":"publisher","DOI":"10.1063\/1.4999625"},{"key":"atypb4","doi-asserted-by":"publisher","DOI":"10.1080\/03605302.2019.1646281"},{"key":"atypb5","doi-asserted-by":"publisher","DOI":"10.1137\/15M1047222"},{"key":"atypb6","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.28.3241"},{"key":"atypb7","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-8176-4797-1"},{"key":"atypb8","doi-asserted-by":"publisher","DOI":"10.1137\/16M1067408"},{"key":"atypb9","doi-asserted-by":"publisher","DOI":"10.1137\/16M1088387"},{"key":"atypb10","doi-asserted-by":"publisher","DOI":"10.1002\/9781118923337"},{"key":"atypb11","doi-asserted-by":"publisher","DOI":"10.1016\/j.physe.2008.11.011"},{"key":"atypb12","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0078115"},{"key":"atypb13","doi-asserted-by":"publisher","DOI":"10.1142\/S0219199716500309"},{"key":"atypb14","volume-title":"On the Semi-Classical Analysis of Schr\u00f6dinger Operators with Purely Imaginary Electric Potentials in a Bounded Domain, preprint, arXiv:1405.6183","author":"Henry R.","year":"2014"},{"key":"atypb15","unstructured":"P. Keraval,\n                      Formules de Weyl par r\u00e9duction de dimension. Applications \u00e0 des Laplaciens \u00e9lectro-magn\u00e9tiques\n                      , Ph.D thesis, Universit\u00e9 de Rennes, Rennes, France, 2018."},{"key":"atypb16","doi-asserted-by":"publisher","DOI":"10.1063\/1.1849430"},{"key":"atypb17","doi-asserted-by":"publisher","DOI":"10.4171\/RLM\/494"},{"key":"atypb18","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.53.2173"},{"key":"atypb19","doi-asserted-by":"publisher","DOI":"10.1063\/1.99562"},{"key":"atypb20","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/aa6499"},{"key":"atypb21","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.99.063410"},{"key":"atypb22","doi-asserted-by":"publisher","DOI":"10.4171\/169"},{"key":"atypb23","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.41.12911"},{"key":"atypb24","doi-asserted-by":"publisher","DOI":"10.1002\/pssb.200301865"},{"key":"atypb25","doi-asserted-by":"publisher","DOI":"10.1088\/1674-4926\/34\/10\/102001"},{"key":"atypb26","doi-asserted-by":"publisher","DOI":"10.1016\/j.mejo.2007.12.012"},{"key":"atypb27","doi-asserted-by":"publisher","DOI":"10.1002\/pssb.200743045"}],"container-title":["SIAM Journal on Mathematical Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/20M1386712","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T14:05:05Z","timestamp":1787321105000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/20M1386712"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,4]]},"references-count":27,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2022,4]]}},"alternative-id":["10.1137\/20M1386712"],"URL":"https:\/\/doi.org\/10.1137\/20m1386712","relation":{},"ISSN":["0036-1410","1095-7154"],"issn-type":[{"value":"0036-1410","type":"print"},{"value":"1095-7154","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,4]]}}}