Dirac Fermion in a Time-Dependent Spherical Box

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F25%3A00642820" target="_blank" >RIV/61389005:_____/25:00642820 - isvavai.cz</a>
Result on the web
<a href="https://ojs.cvut.cz/ojs/index.php/ap/article/view/10625" target="_blank" >https://ojs.cvut.cz/ojs/index.php/ap/article/view/10625</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.14311/AP.2025.65.0546" target="_blank" >10.14311/AP.2025.65.0546</a>

Result language
angličtina
Original language name
Dirac Fermion in a Time-Dependent Spherical Box
Original language description
We consider a Dirac particle in a spherical box with a time-dependent radius. Analytical and numerical solutions of the time-dependent Dirac equation with time-dependent boundary (Dirichlet) conditions are obtained. Using the obtained solutions, physically observable characteristics of the dynamical confinement, such as the average kinetic energy (as a function of time) and average quantum force acting on the particle by the moving wall, are calculated. The trembling motion is analysed by computing the average coordinate of the Dirac particle as a function of time. The absence of the geometric phase is shown by direct calculation.
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
10102 - Applied mathematics

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

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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