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Paper IPM / Physic / 7369

School of Physics
Title:	su(1, 1)-Barut-Girardello Coherent States for Landau Levels
Author(s):	H. Fakhri
Status:	Published
Journal:	J. Phys. A
No.:	19
Vol.:	37
Year:	2004
Pages:	5203-5210
Supported by:	IPM

Abstract:

It is shown that the Hilbert space corresponding to all the quantum states of the Landau problem can be split in two different ways: as infinite direct sums of the finite- and infinite-dimensional representation subspaces of the Lie algebras su(2) and su(1,1) with finite- and infinite-fold degeneracies, respectively. For each of the Hilbert representation subspaces of the Lie algebra su(1,1), we construct a suitable linear combination of its bases as the Barut-Girardello coherent states.

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