Intermediate statistics as a consequence of deformed algebra

Lavagno, Andrea; Swamy, P. Narayana

doi:10.1016/j.physa.2009.11.008

Cited by 42 publications

(19 citation statements)

References 56 publications

(39 reference statements)

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“…The deformed operators result from the distortion of the usual annihilation and creation operators. 2,7 In the rotating wave approximation, the interaction of the cavity mode and the atomic systems is described by the Hamiltonian,…”

Section: Modelmentioning

confidence: 99%

Dynamics of Information in the Presence of Deformation

Metwally

2011

Int. J. Quantum Inform.

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The entanglement of atomic system consisting of two atoms interacting with a deformed cavity mode is quanti¯ed by the means of Bloch vectors and the cross dyadic of the traveling state inside the cavity. For large value of the deformation, the amplitude of Bloch vectors decrease very fast and consequently, the traveling state turns into mixed state quickly. The generated entangled state is used as quantum channel to implement quantum teleportation protocol. It is shown that both the deformed parameter and the number of photons inside the cavity play a central role in controlling the¯delity of the transmitted information.

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Section: Modelmentioning

confidence: 99%

Dynamics of Information in the Presence of Deformation

Metwally

2011

Int. J. Quantum Inform.

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“…Whenever the above stability conditions are not respected, the system becomes unstable and the phase transition takes place [20,21]. The coexistence line of a system with one conserved charge becomes in this case a two dimensional surface in (T, P, y) space, enclosing the region where mechanical and diffusive instabilities occur.…”

Section: Epj Web Of Conferencesmentioning

confidence: 99%

Nuclear phase transition and thermodynamic instabilities in dense nuclear matter

Lavagno

2018

EPJ Web Conf.

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Abstract. We study the presence of thermodynamic instabilities in a nuclear medium at finite temperature and density where nuclear phase transitions can take place. Such a phase transition is characterized by pure hadronic matter with both mechanical instability (fluctuations on the baryon density) that by chemical-diffusive instability (fluctuations on the electric charge concentration). Similarly to the liquid-gas phase transition, the nucleonic and the ∆-matter phase have a different isospin density in the mixed phase. In the liquid-gas phase transition, the process of producing a larger neutron excess in the gas phase is referred to as isospin fractionation. A similar effects can occur in the nucleon-∆ matter phase transition due essentially to a ∆ − excess in the ∆-matter phase in asymmetric nuclear matter. In this context we also discuss the relevance of ∆-isobar and hyperon degrees of freedom in the bulk properties of the protoneutron stars at fixed entropy per baryon, in the presence and in the absence of trapped neutrinos.

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“…In the q‐deformed theory we have a famous q‐deformed exponential functions called Jackson's q‐exponential function which is defined by

0true e_{q}^{J} (x) = \sum_{n = 0}^{\infty} \frac{1}{false[n false]!} x^{n}

where q‐number is defined as

{[n]}_{q} = \frac{q^{n} - 1}{q - 1}

The Jackson's q‐exponential function obeys

\partial_{x}^{q} e_{q}^{J} false(x false) = e_{q}^{J} false(x false)

where Jackson's q‐derivative was defined as

\partial_{x}^{q} F false(x false) = \frac{F (q x) - F (x)}{x (q - 1)}

Acting the Jackson's q‐derivative on monomials yields

\partial_{x}^{q} x^{n} = {[n]}_{q} x^{n - 1}

The Jackson's q‐derivative was used in the study of q‐deformed bosonic system and several investigators have studied the equilibrium statistical mechanics of the gas of non‐interacting q‐boson systems …”

Section: Introductionmentioning

confidence: 99%

“…The Jackson's q-derivative was used in the study of q-deformed bosonic system and several investigators have studied the equilibrium statistical mechanics of the gas of non-interacting q-boson systems. [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20] DOI: 10.1002/prop.201800111…”

Section: Introductionmentioning

confidence: 99%

q‐Deformed Quantum Mechanics Based on the q‐Addition

Chung

Hassanabadi

2019

Fortschritte der Physik

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In this paper we consider the q‐derivative appearing in the non‐extensive thermodynamics to formulate the q‐deformed quantum mechanics. From the q‐addition we discuss the q‐deformed calculus and q‐deformed elementary functions. We use these to construct the q‐deformed quantum mechanics. As examples we discuss momentum eigenfunction, one dimensional box problem and quantum harmonic potential problem.

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Intermediate statistics as a consequence of deformed algebra

Cited by 42 publications

References 56 publications

Dynamics of Information in the Presence of Deformation

Dynamics of Information in the Presence of Deformation

Nuclear phase transition and thermodynamic instabilities in dense nuclear matter

q‐Deformed Quantum Mechanics Based on the q‐Addition

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