Mohammed Daoud

Generalized fermion algebra

A one-parameter generalized fermion algebra

The magnetism of two coupled harmonic oscillators

{\cal B}_{\kappa}(1)

D-DIMENSIONAL IDEAL QUANTUM GASES IN A Arn+Br-n POTENTIAL

is introduced. The Fock representation is studied. The associated coherent states are constructed and the polynomial representation, in the Bargmann sense, is derived. A special attention is devoted to the limiting case

Stabilizer codes and equientangled bases from phase states

\kappa \rightarrow 0

A polynomial class of u(2) algebras

where the fermionic coherent states, labeled by Grassmann variables, are obtained. The physical relevance of the algebra is illustrated throughout Calogero-Sutherland system.

REPRESENTATIONS OF GENERALIZED Ar STATISTICS AND EIGENSTATES OF JACOBSON GENERATORS

The thermodynamical properties of a system of two coupled harmonic oscillators in the presence of a uniform magnetic field B are investigated. Using an unitary transformation, we show that the system can be diagonalized in a simple way and then obtain the energy spectrum solutions. These are then used to determine the thermodynamical potential in terms of different physical parameters like the coupling parameter α. This allows us to give a generalization of significant work already published and obtain different results, which can be used to discuss the magnetism of the system. Different limiting cases, in terms of α and B, are discussed. In fact, quantum corrections to the Landau diamagnetism and orbital paramagnetism are found.

Local quantum uncertainty and trace distance discord dynamics for two-qubit X states embedded in non-Markovian environment

This paper is concerned with thermostatistics of both D-dimensional Bose and Fermi ideal gases in a confining potential of type Arn+Br-n, where A, B are strictly positive constants and n is the power-law exponent. The investigation is performed in the framework of the semiclassical approximation. Some physical quantities for such systems are derived, like the density of states, density profiles and the number of particles. Bose–Einstein condensation (BEC) is discussed in the high and low temperature limits corresponding to T→∞ and T→0, respectively.

Local quantum uncertainty in XY Z Heisenberg spin models with Dzyaloshinski–Moriya interaction

We develop a comprehensive approach of stabilizer codes and provide a scheme generating equientangled basis interpolating between the product basis and maximally entangled basis. The key ingredient is the theory of phase states for finite-dimensional systems (qudits). In this respect, we derive entangled phase states for a multiqudit system whose dynamics is governed by a two-qudit interaction Hamiltonian. We construct the stabilizer codes for this family of entangled phase states. The stabilizer phase states are defined as the common eigenvectors of the stabilizer group generators which are explicitly specified. Furthermore, we construct equally entangled bases from bipartite as well as multipartite entangled qudit phase states.

Phantom gravastar supported for the explanation of compact dark matter objects

A

Extended Weyl-Heisenberg Algebra and Rubakov-Spiridonov Superalgebra

r