Flensted-Jensen's functions attached to the Landau problem on the hyperbolic disc
Applications of Mathematics (2007)
- Volume: 52, Issue: 2, page 97-104
- ISSN: 0862-7940
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topMouayn, Zouhaïr. "Flensted-Jensen's functions attached to the Landau problem on the hyperbolic disc." Applications of Mathematics 52.2 (2007): 97-104. <http://eudml.org/doc/33278>.
@article{Mouayn2007,
abstract = {We give an explicit expression of a two-parameter family of Flensted-Jensen’s functions $\Psi _\{\mu ,\alpha \}$ 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 $\mu $, and corresponding to the eigenvalue $4\alpha ( \alpha -1)$.},
author = {Mouayn, Zouhaïr},
journal = {Applications of Mathematics},
keywords = {Flensted-Jensen’s functions; universal covering group; Landau Hamiltonian; hyperbolic disc; Flensted-Jensen's functions; universal covering group; Landau Hamiltonian; hyperbolic disc},
language = {eng},
number = {2},
pages = {97-104},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Flensted-Jensen's functions attached to the Landau problem on the hyperbolic disc},
url = {http://eudml.org/doc/33278},
volume = {52},
year = {2007},
}
TY - JOUR
AU - Mouayn, Zouhaïr
TI - Flensted-Jensen's functions attached to the Landau problem on the hyperbolic disc
JO - Applications of Mathematics
PY - 2007
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 52
IS - 2
SP - 97
EP - 104
AB - We give an explicit expression of a two-parameter family of Flensted-Jensen’s functions $\Psi _{\mu ,\alpha }$ 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 $\mu $, and corresponding to the eigenvalue $4\alpha ( \alpha -1)$.
LA - eng
KW - Flensted-Jensen’s functions; universal covering group; Landau Hamiltonian; hyperbolic disc; Flensted-Jensen's functions; universal covering group; Landau Hamiltonian; hyperbolic disc
UR - http://eudml.org/doc/33278
ER -
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