On Dunkl-Bose-Einstein condensation in harmonic traps (8 pages)

• A. Hocine ^[2] ; B. Hamil ^[1] ; F. Merabtine ^[2] ; B.C. Lütfüoğlu ^[3] ; M. Benarous ^[2]
  1. [1] University of Mentouri

     University of Mentouri

     Argelia

     
  2. [2] Hassiba Benbouali University of Chlef, Algeria
  3. [3] University of Hradec Králové, Czechia

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• Localización: Revista Mexicana de Física, ISSN-e 0035-001X, Vol. 70, Nº. 5, 2024
• Idioma: inglés
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• Resumen

  • 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.