Matrix vector coherent states for Landau levels

2020 ◽  
Vol 14 (5) ◽  
pp. 237-266
Author(s):  
Isiaka Aremua ◽  
Mahouton Norbert Hounkonnou
Keyword(s):  
Coherent States ◽  
Landau Levels ◽  
Matrix Vector ◽  
Vector Coherent States

scholarly journals LANDAU LEVELS IN A TWO-DIMENSIONAL NONCOMMUTATIVE SPACE: MATRIX AND QUATERNIONIC VECTOR COHERENT STATES

2012 ◽  
Vol 19 (04) ◽  
pp. 1250033 ◽  
Author(s):  
MAHOUTON NORBERT HOUNKONNOU ◽  
ISIAKA AREMUA
Keyword(s):  
Coherent States ◽  
Landau Levels ◽  
Harmonic Potential ◽  
Noncommutative Space ◽  
Two Dimensional ◽  
Space Matrix ◽  
Matrix Vector ◽  
Vector Coherent States

The behavior of an electron in an external uniform electromagnetic background coupled to an harmonic potential, with noncommuting space coordinates, is considered in this work. The thermodynamics of the system is studied. Matrix vector coherent states (MVCS) as well as quaternionic vector coherent states (QVCS), satisfying required properties, are also constructed and discussed.

scholarly journals Multi-matrix vector coherent states

2004 ◽  
Vol 314 (1) ◽  
pp. 119-144 ◽  
Author(s):  
K. Thirulogasanthar ◽  
G. Honnouvo ◽  
A. Krzyżak
Keyword(s):  
Coherent States ◽  
Matrix Vector ◽  
Vector Coherent States

PARASUPERSYMMETRIC COHERENT STATES FOR LANDAU LEVELS WITH DYNAMICAL SYMMETRY GROUP H4

2002 ◽  
Vol 17 (28) ◽  
pp. 4081-4093 ◽  
Author(s):  
H. FAKHRI ◽  
H. MOTAVALI
Keyword(s):  
Magnetic Field ◽  
Symmetry Group ◽  
Coherent States ◽  
Ad Hoc ◽  
Flat Surface ◽  
Arbitrary Order ◽  
Dynamical Symmetry ◽  
Quantum States ◽  
Landau Levels ◽  
Lowering Operator

The eigenstates and their degeneracy for parasupersymmetric Hamiltonian of arbitrary order p, corresponding to the motion of a charged particle with spin [Formula: see text] on the flat surface in the presence of a constant magnetic field along z-axis, are calculated. The eigenstates are expressed in terms of Landau levels quantum states with dynamical symmetry group H4. Furthermore, parasupersymmetric coherent states with multiplicity degeneracy are derived for an ad hoc lowering operator of the eigenstates in terms of ordinary coherent states of Landau Hamiltonian.

scholarly journals Discrete coherent states for higher Landau levels

2015 ◽  
Vol 363 ◽  
pp. 337-353 ◽  
Author(s):  
L.D. Abreu ◽  
P. Balazs ◽  
M. de Gosson ◽  
Z. Mouayn
Keyword(s):  
Coherent States ◽  
Landau Levels

scholarly journals Generalized Binomial Probability Distributions Attached to Landau Levels on the Riemann Sphere

2011 ◽  
Vol 2011 ◽  
pp. 1-17
Author(s):  
A. Ghanmi ◽  
A. Hafoud ◽  
Z. Mouayn
Keyword(s):  
Coherent States ◽  
Riemann Sphere ◽  
Probability Distributions ◽  
Photon Number ◽  
Landau Levels ◽  
Binomial Probability ◽  
Statistical Parameters ◽  
Generalized Coherent States

A family of generalized binomial probability distributions attached to Landau levels on the Riemann sphere is introduced by constructing a kind of generalized coherent states. Their main statistical parameters are obtained explicitly. As an application, photon number statistics related to coherent states under consideration are discussed.

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