Pauli oscillator in noncommutative space

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F21%3A50018996" target="_blank" >RIV/62690094:18470/21:50018996 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1142/S0217732321502801" target="_blank" >http://dx.doi.org/10.1142/S0217732321502801</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0217732321502801" target="_blank" >10.1142/S0217732321502801</a>

Result language
angličtina
Original language name
Pauli oscillator in noncommutative space
Original language description
In this study, we investigate the Pauli oscillator in a noncommutative space. In other words, we derive wave function and energy spectrum of a spin half non-relativistic charged particle that is moving under a constant magnetic field with an oscillator potential in noncommutative space. We obtain critical values of the deformation parameter and the magnetic field, which they counteract the normal and anomalous Zeeman effects. Moreover, we find that the deformation parameter has to be smaller than 2.57 x 10(-26) m(2). Then, we derive the Helmholtz free energy, internal energy, specific heat and entropy functions of the Pauli oscillator in the non commutative space. With graphical methods, at first, we compare these functions with the ordinary ones, and then, we demonstrate the effects of magnetic field on these thermodynamic functions in the commutative and noncommutative space, respectively.
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
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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