{"10c4308b8b87e7bdea79b62aa1516ab9hermann":{"DOI":"10.1142/S0129055X16500021","ISBN":"","ISSN":"0129-055X","URL":"","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.","annote":"","author":[{"family":"Barseghyan","given":"Diana"},{"family":"Exner","given":"Pavel"},{"family":"Kovarik","given":"Hynek"},{"family":"Weidl","given":"Timo"}],"citation-label":"ISI:000372802900002","collection-editor":[],"collection-title":"","container-author":[],"container-title":"REVIEWS IN MATHEMATICAL PHYSICS","documents":[],"edition":"","editor":[],"event-date":{"date-parts":[["{2016}","FEB"]],"literal":"{2016}"},"event-place":"5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE","id":"10c4308b8b87e7bdea79b62aa1516ab9hermann","interhash":"ec89490965296006eb92fd562de5995f","intrahash":"10c4308b8b87e7bdea79b62aa1516ab9","issue":"1","issued":{"date-parts":[["{2016}","FEB"]],"literal":"{2016}"},"keyword":"Laplacian; bounds} discrete eigenvalue spectrum; {Magnetic","misc":{"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}"},"note":"","number":"1","page":"","page-first":"","publisher":"WORLD SCIENTIFIC PUBL CO PTE LTD","publisher-place":"5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE","status":"","title":"Semiclassical bounds in magnetic bottles","type":"article-journal","username":"hermann","version":"","volume":"28"}}