Coherent states of the deformed Heisenberg–Weyl algebra in non-commutative space

The Construction of Non-Commutative Manifolds Using Coherent States

We describe the construction of non-commutative manifolds, which are the non-commutative analogs of homogeneous spaces using coherent states. In the commutative limit we obtain standard manifolds. Applications to the Fuzzy sphere and to the Fuzzy hyperboloid are discussed in more detail. *) Part of Project Nr. P8916-PHY of the “Fonds zur Förderung der wissenschaftlichen Forschung in Österreich”.

Embedding of a 2D Graphene System in Non-Commutative Space

The BFT approach is used to formulate the electronic states in graphene through a non-commutative space in the presence of a constant magnetic field B for the first time. In this regard, we introduce a second class of constrained system, which is not gauge symmetric but by applying BFT method and extending phase space, the second class constraints  converts  to the first class constraints so th...

The Erwin Schrr Odinger International Institute for Mathematical Physics the Construction of Non-commutative Manifolds Using Coherent States the Construction of Non-commutative Manifolds Using Coherent States

We describe the construction of non-commutative manifolds, which are the non-commutative analogs of homogeneous spaces using coherent states. In the commutative limit we obtain standard manifolds. Applications to the Fuzzy sphere and to the Fuzzy hyperboloid are discussed in more detail. *) Part of Project Nr. P8916-PHY of the \Fonds zur FF orderung der wissenschaftlichen Forschung in Osterreich".

The q - Deformed Oscillator Representations and Their Coherent States of the su ( 1 , 1 ) Algebra

We present various oscillator representations of the q-deformed su(1, 1) algebra such as the Holstein-Primakoff, the Dyson, the Fock-Bargmann, the anyonic, and the parabose oscillator representations and discuss their coherent states with the resolution of unity.

Non-commutative combinatorial algebra