Geodesic
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 
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/
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     author = {L. D. Pustyl'nikov},
     title = {New mechanism of particle acceleration and relativistic analog of the {Fermi{\textendash}Ulam} model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {154--160},
     year = {1988},
     volume = {77},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1988_77_1_a13/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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