IJPAM: Volume 104, No. 1 (2015)
THE SPIN LANDAU HAMILTONIAN ON
HOMOGENEOUS SPECIAL ORTHOGONAL SPACES
Department of Mathematics
Federal University of Paraná
C.P. 019081, Curitiba, PR, 81531-990, BRAZIL
Abstract. The solutions of the eigenvalue problems of the square of Dirac operator and the spin Landau Hamiltonian with the normal metric induced by the Killing form on homogeneous special orthogonal space are given respectively.
Received: August 28, 2015
AMS Subject Classification: 22E65, 51P05, 81R10
Key Words and Phrases: Dirac operator, highest weight, homogeneous space, Landau Hamiltonian
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DOI: 10.12732/ijpam.v104i1.13 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 151 - 157