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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
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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