caa a22 4500 463183959 CHVBK 20180406164847.0 cr unu---uuuuu 170326e20070401xx s 000 0 eng 10.1007/s10492-007-0004-7 doi (NATIONALLICENCE)springer-10.1007/s10492-007-0004-7 Mouayn Zouhaïr Department of Mathematics, Faculty of Sciences and Technics (M'Ghila), Cadi Ayyad University, BP 523, Béni Mellal, Morocco aut Flensted-Jensen's functions attached to the Landau problem on the hyperbolic disc [Elektronische Daten] [Zouhaïr Mouayn] We give an explicit expression of a two-parameter family of Flensted-Jensen's functions Ψ µα on a concrete realization of the universal covering group of U(1, 1). We prove that these functions are, up to a phase factor, radial eigenfunctions of the Landau Hamiltonian on the hyperbolic disc with a magnetic field strength proportional to μ, and corresponding to the eigenvalue 4α(α − 1). Springer Science+Business Media, Inc., 2007 Flensted-Jensen's functions nationallicence universal covering group nationallicence Landau Hamiltonian nationallicence hyperbolic disc nationallicence Applications of Mathematics Kluwer Academic Publishers-Consultants Bureau 52/2(2007-04-01), 97-104 0862-7940 52:2<97 2007 52 10492 https://doi.org/10.1007/s10492-007-0004-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10492-007-0004-7 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Mouayn Zouhaïr Department of Mathematics, Faculty of Sciences and Technics (M'Ghila), Cadi Ayyad University, BP 523, Béni Mellal, Morocco aut NATIONALLICENCE 773 0- Applications of Mathematics Kluwer Academic Publishers-Consultants Bureau 52/2(2007-04-01), 97-104 0862-7940 52:2<97 2007 52 10492 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer