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         "id"   : "https://puma.ub.uni-stuttgart.de/bibtex/210c4308b8b87e7bdea79b62aa1516ab9/hermann",         
         "tags" : [
            "Laplacian;","bounds}","discrete","eigenvalue","spectrum;","{Magnetic"
         ],
         
         "intraHash" : "10c4308b8b87e7bdea79b62aa1516ab9",
         "interHash" : "ec89490965296006eb92fd562de5995f",
         "label" : "Semiclassical bounds in magnetic bottles",
         "user" : "hermann",
         "description" : "",
         "date" : "2017-05-18 11:32:12",
         "changeDate" : "2017-05-18 09:32:12",
         "count" : 4,
         "pub-type": "article",
         "journal": "REVIEWS IN MATHEMATICAL PHYSICS","publisher":"WORLD SCIENTIFIC PUBL CO PTE LTD","address":"5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE",
         "year": "{2016}", 
         "url": "", 
         
         "author": [ 
            "Diana Barseghyan","Pavel Exner","Hynek Kovarik","Timo Weidl"
         ],
         "authors": [
         	
            	{"first" : "Diana",	"last" : "Barseghyan"},
            	{"first" : "Pavel",	"last" : "Exner"},
            	{"first" : "Hynek",	"last" : "Kovarik"},
            	{"first" : "Timo",	"last" : "Weidl"}
         ],
         "volume": "28","number": "1","abstract": "The aim of the paper is to derive spectral estimates into several\n   classes of magnetic systems. They include three-dimensional regions with\n   Dirichlet boundary as well as a particle in R-3 confined by a local\n   change of the magnetic field. We establish two-dimensional\n   Berezin-Li-Yau and Lieb-Thirring-type bounds in the presence of magnetic\n   fields and, using them, get three-dimensional estimates for the\n   eigenvalue moments of the corresponding magnetic Laplacians.",
         "author-email" : "dianabar@ujf.cas.cz\n   exner@ujf.cas.cz\n   hynek.kovarik@unibs.it\n   weidl@mathematik.uni-stuttgart.de",
         
         "article-number" : "1650002",
         
         "issn" : "0129-055X",
         
         "researcherid-numbers" : "Kovarik, Hynek/K-9521-2015",
         
         "keywords-plus" : "LIEB-THIRRING INEQUALITIES; SCHRODINGER-OPERATORS; ASYMPTOTICS;\n   EIGENVALUES; DIRICHLET; BEHAVIOR; DOMAINS",
         
         "funding-acknowledgement" : "Czech Science Foundation (GACR) [14-06818S]; University of Ostrava;\n   project ``Support of Research in the Moravian-Silesian Region'';\n   Gruppo Nazionale per Analisi Matematica, la Probabilita e le loro\n   Applicazioni (GNAMPA) of the Istituto Nazionale di Alta Matematica\n   (INdAM); MIUR-PRIN; DFG [WE 1964/4-1, GRK 1838]",
         
         "research-areas" : "Physics",
         
         "orcid-numbers" : "Kovarik, Hynek/0000-0003-3647-8447",
         
         "eissn" : "1793-6659",
         
         "number-of-cited-references" : "22",
         
         "web-of-science-categories" : "Physics, Mathematical",
         
         "affiliation" : "Barseghyan, D; Exner, P (Reprint Author), Acad Sci Czech Republic, Inst Nucl Phys, Dept Theoret Phys, CZ-25068 Rez, Czech Republic.\n   Barseghyan, D (Reprint Author), Univ Ostrava, Fac Sci, Dept Math, 30 Dubna 22, CZ-70103 Ostrava, Czech Republic.\n   Exner, P (Reprint Author), Czech Tech Univ, Doppler Inst Math Phys & Appl Math, Brehova 7, Prague 11519, Czech Republic.\n   Kovarik, H (Reprint Author), Univ Brescia, Sez Matemat, Dicatam, Via Branze 38, I-25123 Brescia, Italy.\n   Weidl, T (Reprint Author), Univ Stuttgart, Inst Anal Dynam & Modellierung, Fak Math & Phys, Pfaffenwaldring 57, D-70569 Stuttgart, Germany.\n   Barseghyan, Diana; Exner, Pavel, Acad Sci Czech Republic, Inst Nucl Phys, Dept Theoret Phys, CZ-25068 Rez, Czech Republic.\n   Barseghyan, Diana, Univ Ostrava, Fac Sci, Dept Math, 30 Dubna 22, CZ-70103 Ostrava, Czech Republic.\n   Exner, Pavel, Czech Tech Univ, Doppler Inst Math Phys & Appl Math, Brehova 7, Prague 11519, Czech Republic.\n   Kovarik, Hynek, Univ Brescia, Sez Matemat, Dicatam, Via Branze 38, I-25123 Brescia, Italy.\n   Weidl, Timo, Univ Stuttgart, Inst Anal Dynam & Modellierung, Fak Math & Phys, Pfaffenwaldring 57, D-70569 Stuttgart, Germany.",
         
         "funding-text" : "The research was supported by the Czech Science Foundation (GACR) within\n   the project 14-06818S. D.B. acknowledges the support of the University\n   of Ostrava and the project ``Support of Research in the\n   Moravian-Silesian Region 2013''. H.K. was supported by the Gruppo\n   Nazionale per Analisi Matematica, la Probabilita e le loro Applicazioni\n   (GNAMPA) of the Istituto Nazionale di Alta Matematica (INdAM). The\n   support of MIUR-PRIN2010-11 grant for the project ``Calcolo delle\n   variazioni'' (H.K.) is also gratefully acknowledged. T.W. was in part\n   supported by the DFG project WE 1964/4-1 and the DFG GRK 1838.",
         
         "language" : "English",
         
         "times-cited" : "0",
         
         "doi" : "10.1142/S0129055X16500021",
         
         "bibtexKey": "ISI:000372802900002"

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