In this work, we consider a model of an electron moving in a plane under uniform external magneti... more In this work, we consider a model of an electron moving in a plane under uniform external magnetic and electric fields. We investigate the action of unitary maps on the associated quantum Hamiltonians and construct coherent states of Gazeau–Klauder type.
This work addresses the general procedure of quantization also known as the Berezin-Klauder-Toepl... more This work addresses the general procedure of quantization also known as the Berezin-Klauder-Toeplitz quantization, or as coherent state (CS) (anti-Wick) quantization. The method is first illustrated by the motion of a particle on the circle. Then, we take as second example, a set of generalized photon-added coherent states related to associated hypergeometric functions. The nonclassical behaviour of this set of coherent states is also investigated.
Phosphorus, Sulfur, and Silicon and the Related Elements, 2011
Host–guest complexation of the calixarenes as well as thiacalixarenes bearing phosphoryl or sulfo... more Host–guest complexation of the calixarenes as well as thiacalixarenes bearing phosphoryl or sulfonate residues at the upper rim with a series of amino acids, uracils, adenines, and nucleotides (ADP and ATP) in water or water–organic solutions was investigated by high-performance liquid chromatography. Association constants of the 1:1 stoichiometry complexes were calculated from a ratio between the capacity factor of the guests and calixarene concentration in the mobile phase.
This paper addresses a full characterization of photon-added coherent states for shape-invariant ... more This paper addresses a full characterization of photon-added coherent states for shape-invariant potentials. Main properties are investigated and discussed. A statistical computation of relevant physical quantities is performed, emphasizing the importance of using generalized hypergeometric functions _pF_q and Meijer's G-functions for such a study.
In this work, the definition of the density operator on quantum states in Hilbert spaces and some... more In this work, the definition of the density operator on quantum states in Hilbert spaces and some of its aspects relevant in thermodynamics and information-theoretical entropy calculations are given. In this framework, a physical model describing an electron in a magnetic field is investigated. The so-called exotic Landau problem in noncommutative plane is also considered. Then, a model related to the fractional quantum Hall effect is revisited. Thanks to the completeness relations verified by the coherent states (CS) in these models, the thermodynamics is discussed by using the diagonal P-representation of thedensity operator. Specifically, the Q-Husimi distribution and the Wehrl entropy are determined.
This work describes coherent states for a physical system governed by a Hamiltonian operator, in ... more This work describes coherent states for a physical system governed by a Hamiltonian operator, in two dimensional space, of spinless charged particles subject to a perpendicular magnetic field B, coupled with a harmonic potential. The underlying su(1, 1) Lie algebra and Barut-Girardello coherent states are constructed and discussed. Then, the Berezin - Klauder - Toeplitz quantization, also known as coherent state (or anti-Wick) quantization, is discussed. The thermodynamics of such a quantum gas system is elaborated and analyzed.
In this paper, we construct the coherent states for a system of an electron moving on plane in un... more In this paper, we construct the coherent states for a system of an electron moving on plane in uniform external magnetic and electric fields. These coherent states are built in the context of both discrete and continuous spectra and satisfy the Gazeau-Klauder coherent states properties [1].
In this paper, we construct the coherent states for a system of an electron moving in a plane und... more In this paper, we construct the coherent states for a system of an electron moving in a plane under uniform external magnetic and electric fields. These coherent states are built in the context of both discrete and continuous spectra and satisfy the Gazeau-Klauder coherent state properties Gazeau and Klauder (1999 J. Phys. A: Math. Gen. 32, 123–132).
In this work, the definitions of the density operator on quantum states in Hilbert spaces and som... more In this work, the definitions of the density operator on quantum states in Hilbert spaces and some of its aspects relevant in thermodynamics and information-theoretical entropy calculations are first explored. Then, we apply this theory to a physical model describing an electron in a magnetic field. The studied model is the so-called exotic Landau problem in non-commutative plane. We use rather the formalism developed in the literature and define coherent states for this model. From this setup, we derive some interesting physical aspects of the physical model by first calculating the probability related to chiral positions and obtain, in the lilmit case θ(B) → θ = 1/eB_c , that the calculated probability is a function of the temperature, the mass of the particle and the inverse of the partition function of the physical Hamiltonian.Then, we investigate the thermodynamics by elaborate the diagonal P-representation of the density operator to provide its diagonal elements in the cons...
In this work, the density operator diagonal representation in the coherent states basis, known as... more In this work, the density operator diagonal representation in the coherent states basis, known as the Glauber–Sudarshan-P representation, is used to study harmonic oscillator quantum systems and models of spinless electrons moving in a two-dimensional noncommutative space, subject to a magnetic field background coupled with a harmonic oscillator. Relevant statistical properties such as the Q-Husimi distribution and the Wehrl entropy are investigated.
In this work, we consider a model of an electron moving in a plane under uniform external magneti... more In this work, we consider a model of an electron moving in a plane under uniform external magnetic and electric fields. We investigate the action of unitary maps on the associated quantum Hamiltonians and construct coherent states of Gazeau–Klauder type.
This work addresses the general procedure of quantization also known as the Berezin-Klauder-Toepl... more This work addresses the general procedure of quantization also known as the Berezin-Klauder-Toeplitz quantization, or as coherent state (CS) (anti-Wick) quantization. The method is first illustrated by the motion of a particle on the circle. Then, we take as second example, a set of generalized photon-added coherent states related to associated hypergeometric functions. The nonclassical behaviour of this set of coherent states is also investigated.
Phosphorus, Sulfur, and Silicon and the Related Elements, 2011
Host–guest complexation of the calixarenes as well as thiacalixarenes bearing phosphoryl or sulfo... more Host–guest complexation of the calixarenes as well as thiacalixarenes bearing phosphoryl or sulfonate residues at the upper rim with a series of amino acids, uracils, adenines, and nucleotides (ADP and ATP) in water or water–organic solutions was investigated by high-performance liquid chromatography. Association constants of the 1:1 stoichiometry complexes were calculated from a ratio between the capacity factor of the guests and calixarene concentration in the mobile phase.
This paper addresses a full characterization of photon-added coherent states for shape-invariant ... more This paper addresses a full characterization of photon-added coherent states for shape-invariant potentials. Main properties are investigated and discussed. A statistical computation of relevant physical quantities is performed, emphasizing the importance of using generalized hypergeometric functions _pF_q and Meijer's G-functions for such a study.
In this work, the definition of the density operator on quantum states in Hilbert spaces and some... more In this work, the definition of the density operator on quantum states in Hilbert spaces and some of its aspects relevant in thermodynamics and information-theoretical entropy calculations are given. In this framework, a physical model describing an electron in a magnetic field is investigated. The so-called exotic Landau problem in noncommutative plane is also considered. Then, a model related to the fractional quantum Hall effect is revisited. Thanks to the completeness relations verified by the coherent states (CS) in these models, the thermodynamics is discussed by using the diagonal P-representation of thedensity operator. Specifically, the Q-Husimi distribution and the Wehrl entropy are determined.
This work describes coherent states for a physical system governed by a Hamiltonian operator, in ... more This work describes coherent states for a physical system governed by a Hamiltonian operator, in two dimensional space, of spinless charged particles subject to a perpendicular magnetic field B, coupled with a harmonic potential. The underlying su(1, 1) Lie algebra and Barut-Girardello coherent states are constructed and discussed. Then, the Berezin - Klauder - Toeplitz quantization, also known as coherent state (or anti-Wick) quantization, is discussed. The thermodynamics of such a quantum gas system is elaborated and analyzed.
In this paper, we construct the coherent states for a system of an electron moving on plane in un... more In this paper, we construct the coherent states for a system of an electron moving on plane in uniform external magnetic and electric fields. These coherent states are built in the context of both discrete and continuous spectra and satisfy the Gazeau-Klauder coherent states properties [1].
In this paper, we construct the coherent states for a system of an electron moving in a plane und... more In this paper, we construct the coherent states for a system of an electron moving in a plane under uniform external magnetic and electric fields. These coherent states are built in the context of both discrete and continuous spectra and satisfy the Gazeau-Klauder coherent state properties Gazeau and Klauder (1999 J. Phys. A: Math. Gen. 32, 123–132).
In this work, the definitions of the density operator on quantum states in Hilbert spaces and som... more In this work, the definitions of the density operator on quantum states in Hilbert spaces and some of its aspects relevant in thermodynamics and information-theoretical entropy calculations are first explored. Then, we apply this theory to a physical model describing an electron in a magnetic field. The studied model is the so-called exotic Landau problem in non-commutative plane. We use rather the formalism developed in the literature and define coherent states for this model. From this setup, we derive some interesting physical aspects of the physical model by first calculating the probability related to chiral positions and obtain, in the lilmit case θ(B) → θ = 1/eB_c , that the calculated probability is a function of the temperature, the mass of the particle and the inverse of the partition function of the physical Hamiltonian.Then, we investigate the thermodynamics by elaborate the diagonal P-representation of the density operator to provide its diagonal elements in the cons...
In this work, the density operator diagonal representation in the coherent states basis, known as... more In this work, the density operator diagonal representation in the coherent states basis, known as the Glauber–Sudarshan-P representation, is used to study harmonic oscillator quantum systems and models of spinless electrons moving in a two-dimensional noncommutative space, subject to a magnetic field background coupled with a harmonic oscillator. Relevant statistical properties such as the Q-Husimi distribution and the Wehrl entropy are investigated.
Uploads
Papers by Isiaka AREMUA