On Dunkl-Bose-Einstein condensation in harmonic traps

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F24%3A50021733" target="_blank" >RIV/62690094:18470/24:50021733 - isvavai.cz</a>
Result on the web
<a href="https://rmf.smf.mx/ojs/index.php/rmf/article/view/7484/6990" target="_blank" >https://rmf.smf.mx/ojs/index.php/rmf/article/view/7484/6990</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.31349/RevMexFis.70.051701" target="_blank" >10.31349/RevMexFis.70.051701</a>

Result language
angličtina
Original language name
On Dunkl-Bose-Einstein condensation in harmonic traps
Original language description
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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10303 - Particles and field physics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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