Dirac particle under dynamical confinement: Fermi acceleration, trembling motion and quantum force

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F24%3A00585803" target="_blank" >RIV/61389005:_____/24:00585803 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.physleta.2024.129408" target="_blank" >https://doi.org/10.1016/j.physleta.2024.129408</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.physleta.2024.129408" target="_blank" >10.1016/j.physleta.2024.129408</a>

Result language
angličtina
Original language name
Dirac particle under dynamical confinement: Fermi acceleration, trembling motion and quantum force
Original language description
Quantum dynamics of a Dirac particle in a 1D box with moving wall is studied. Dirac equation with timedependent boundary condition is mapped onto that with static one, but with time-dependent mass. Exact analytical solution of such modified Dirac equation is obtained for massless particle. For massive particle the problem is solved numerically. Time-dependences of the main characteristics of the dynamical confinement, such as average kinetic energy and quantum force are analyzed. It is found that the average kinetic energy remains bounded for the interval length bounded from below, in particular for the periodically oscillating wall.
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
10101 - Pure mathematics

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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