<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0035-001X</journal-id>
<journal-title><![CDATA[Revista mexicana de física]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. mex. fis.]]></abbrev-journal-title>
<issn>0035-001X</issn>
<publisher>
<publisher-name><![CDATA[Sociedad Mexicana de Física]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0035-001X2024000501701</article-id>
<article-id pub-id-type="doi">10.31349/revmexfis.70.051701</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[On Dunkl-Bose-Einstein condensation in harmonic traps]]></article-title>
</title-group>
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<surname><![CDATA[Hocine]]></surname>
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<surname><![CDATA[Merabtine]]></surname>
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<contrib contrib-type="author">
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<surname><![CDATA[Lütfüo&#287;lu]]></surname>
<given-names><![CDATA[B. C.]]></given-names>
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<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Hassiba Benbouali University of Chlef Faculty of Exact Sciences and Informatics Laboratory for Theoretical Physics and Material Physics]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Algeria</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Université Constantine 1 Faculté des Sciences Exactes Laboratoire de Physique Mathématique et Subatomique]]></institution>
<addr-line><![CDATA[Constantine ]]></addr-line>
<country>Algeria</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Hassiba Benbouali University of Chlef Faculty of Exact Sciences and Informatics Laboratory for Theoretical Physics and Material Physics]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Algeria</country>
</aff>
<aff id="Af4">
<institution><![CDATA[,University of Hradec Králové Department of Physics ]]></institution>
<addr-line><![CDATA[Hradec Králové ]]></addr-line>
<country>República Checa</country>
</aff>
<aff id="Af5">
<institution><![CDATA[,Hassiba Benbouali University of Chlef Faculty of Exact Sciences and Informatics Laboratory for Theoretical Physics and Material Physics]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Algeria</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>10</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>10</month>
<year>2024</year>
</pub-date>
<volume>70</volume>
<numero>5</numero>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0035-001X2024000501701&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0035-001X2024000501701&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0035-001X2024000501701&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[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.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Bose-Einstein condensate]]></kwd>
<kwd lng="en"><![CDATA[Dunkl derivative]]></kwd>
<kwd lng="en"><![CDATA[harmonic potential traps]]></kwd>
<kwd lng="en"><![CDATA[thermal quantities]]></kwd>
</kwd-group>
</article-meta>
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