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19972026
most citedOn the anomalous density for Bose gases at finite temperature

30 citations · 132 across the 14 of their papers we have counts for

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cond-mat.quant-gas2025

Universal Thermodynamics of Dunkl-Deformed Bose Gases: From Power-Law Traps to Physical Bounds

M. Medani, M. Benarous, A. Hocine +1

We study an ideal Bose gas confined by a -dimensional power-law potential within the framework of the Dunkl formalism. By analyzing the combined effects of spatial dimensionalit…

cond-mat.quant-gas2023★ 13 cited

The Condensation of Ideal Dunkl-Bose Gas in Power-Law Traps

A. Hocine, F. Merabtine, B. Hamil +2

We explore the phenomenon of Bose-Einstein condensation in two and one-dimensional Dunkl-boson gases confined within a power-law potential, employing the framework of Dunkl-deforme…

cond-mat.quant-gas2023★ 11 cited

On Dunkl-Bose-Einstein Condensation in Harmonic Traps

A. Hocine, B. Hamil, F. Merabtine +2

The use of the Dunkl derivative, which is defined by a combination of the difference-differential and reflection operator, allows the classification of the solutions according to e…

cond-mat.quant-gas2017★ 3 cited

Binary Mixture of quasi one dimensional dipolar Bose Einstein Condensates with tilted dipoles

A. Hocine, M. Benarous

We consider a Er-Dy dipolar mixture, trapped by a cigar shaped harmonic potential. We derive the quasi-1D inter-species effective potential exhibiting the tilting a…

cond-mat.quant-gas2011★ 30 cited

On the anomalous density for Bose gases at finite temperature

A. Boudjemaa, M. Benarous

We analyze the behavior of the anomalous density as function of the radial distance at different temperatures in a variational framework. We show that the temperature dependence of…

cond-mat.quant-gas2011★ 23 cited

Variational self-consistent theory for trapped Bose gases at finite temperature

A. Boudjemaa, M. Benarous

We apply the time-dependent variational principle of Balian-Vénéroni to a system of self-interacting trapped bosons at finite temperature. The method leads to a set of coupled non-…