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“School of Physics”

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Paper   IPM / P / 7894
School of Physics
  Title:   Representation of the Heisenberg Algebra h4 by the Lowest Landau Levels and Their Coherent States
  Author(s): 
1 . H. Fakhri
2 . Z. Shadman
  Status:   Published
  Journal: Mod. Phys. Lett. A
  No.:  30
  Vol.:  20
  Year:  2005
  Pages:   2295-2303
  Supported by:  IPM
  Abstract:
Using simultaneous shape invariance with respect to two different parameters, we introduce a pair of appropriate operators which realize shape invariance symmetry for the monomials on a half-axis. It leads to the derivation of rotational symmetry and dynamical symmetry group H4 with infinite-fold degeneracy for the lowest Landau levels. This allows us to represent the Heisenberg?Lie algebra h4 not only by the lowest Landau levels, but also by their corresponding standard coherent states.

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