Dirac particle under dynamical confinement: Fermi acceleration, trembling motion and quantum force
Quantum Physics
2024-06-20 v1 Mesoscale and Nanoscale Physics
Quantum Gases
Abstract
Quantum dynamics of a Dirac particle in a 1D box with moving wall is studied. Dirac equation with time-dependent 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.
Cite
@article{arxiv.2401.02837,
title = {Dirac particle under dynamical confinement: Fermi acceleration, trembling motion and quantum force},
author = {J. Dittrich and S. Rakhmanov and D. Matrasulov},
journal= {arXiv preprint arXiv:2401.02837},
year = {2024}
}