Resumo

HOCINE, A. et al. On Dunkl-Bose-Einstein condensation in harmonic traps. Rev. mex. fis. [online]. 2024, vol.70, n.5, e051701.  Epub 07-Out-2025. ISSN 0035-001X.  https://doi.org/10.31349/revmexfis.70.051701.

The use of the Dunkl derivative, defined by a combination of the difference-differential and reflection operators, allows the classification of the solutions according to even and odd solutions. Recently, we considered the Dunkl formalism to investigate the Bose-Einstein condensation of an ideal Bose gas confined in a gravitational field. In this work, we address another essential problem and examine an ideal Bose gas trapped by a three-dimensional harmonic oscillator within the Dunkl formalism. To this end, we derive an analytic expression for the critical temperature of the N particle system, discuss its value at large-N limit and finally derive and compare the ground state population with the usual case result. In addition, we explore two thermal quantities, namely the Dunkl-internal energy and the Dunkl-heat capacity functions.

Palavras-chave : Bose-Einstein condensate; Dunkl derivative; harmonic potential traps; thermal quantities.

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