New mechanism of particle acceleration and relativistic analog of the Fermi--Ulam model
Teoretičeskaâ i matematičeskaâ fizika, Tome 77 (1988) no. 1, pp. 154-160
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An investigation is made of a relativistic analog of the Fermi–Ulam
model in which a relativistic particle moves vertically and freely
between parallel horizontal infinitely heavy walls that move in the
vertical direction in accordance with a periodic law, the particle
interacting with the walls in a collision in accordance with the law
of elastic impact. The possibility of unlimited growth of the energy
of the particle is proved; specifically, unbounded growth of the
energy is realized for all initial data in some open set, and the
asymptotic behavior of such growth is found.
@article{TMF_1988_77_1_a13,
author = {L. D. Pustyl'nikov},
title = {New mechanism of particle acceleration and relativistic analog of the {Fermi--Ulam} model},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {154--160},
publisher = {mathdoc},
volume = {77},
number = {1},
year = {1988},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1988_77_1_a13/}
}
TY - JOUR AU - L. D. Pustyl'nikov TI - New mechanism of particle acceleration and relativistic analog of the Fermi--Ulam model JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1988 SP - 154 EP - 160 VL - 77 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1988_77_1_a13/ LA - ru ID - TMF_1988_77_1_a13 ER -
L. D. Pustyl'nikov. New mechanism of particle acceleration and relativistic analog of the Fermi--Ulam model. Teoretičeskaâ i matematičeskaâ fizika, Tome 77 (1988) no. 1, pp. 154-160. http://geodesic.mathdoc.fr/item/TMF_1988_77_1_a13/