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| Paper IPM / P / 7369 |
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| Abstract: | |
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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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