Supersymmetric associated vector coherent states and generalized Landau levels arising from two-dimensional supersymmetry

Supersymmetric associated vector coherent states and generalized Landau levels arising from two-dimensional supersymmetry

We describe a method for constructing vector coherent states for quantum supersymmetric partner Hamiltonians. The method is then applied to such partner Hamiltonians arising from a generalization of the fractional quantum Hall effect. Explicit examples are worked out.

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Veröffentlicht in:Journal of mathematical physics 2008-03, Vol.49 (3), p.1
Hauptverfasser: Ali, S. Twareque, Bagarello, F.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
ANNIHILATION OPERATORS
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
EIGENFUNCTIONS
EIGENSTATES
EIGENVALUES
Exact sciences and technology
HALL EFFECT
HAMILTONIANS
Mathematical methods in physics
Mathematics
Methods
Physics
QUANTUM MECHANICS
Quantum theory
Sciences and techniques of general use
SUPERSYMMETRY
TWO-DIMENSIONAL CALCULATIONS
VECTORS
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Beschreibung
Zusammenfassung:We describe a method for constructing vector coherent states for quantum supersymmetric partner Hamiltonians. The method is then applied to such partner Hamiltonians arising from a generalization of the fractional quantum Hall effect. Explicit examples are worked out.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.2898117