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TY - CONF AU - Drivotin, O.I. ED - Kuzin, Maksim ED - Schaa, Volker RW TI - Degenerate Self-Consistent Distributions for Charged Particle Beam in Linear Transverse Field J2 - Proc. of RuPAC2018, Protvino, Russia, 1-5 October 2018 C1 - Protvino, Russia T2 - Russian Particle Accelerator Conference T3 - 26 LA - english AB - The present report is devoted to covariant description of the microcanonical distributions for a charged particle beam on the base of the covariant approach previously developed in the works of the author*. For microcanonical distribution, particles are distributed on surface of some ellipsoid in the phase space. Here, we consider most general case of arbitrary orientation of the ellipsoid. For description of such distributions, we make use the density of particles on surface of the ellipsoid. Covariant approach give us an opportunity to follow the evolution of these distributions using various systems of coordinates in the phase space. Using such approach, we found new distributions, which can be considered as generalizations of the Kapchinsky-Vladimirsky distribution. The results can be useful in many applied problems, for example, problems of optimization of beam transport channel. PB - JACoW CP - Geneva, Switzerland SP - 161 EP - 163 KW - ion KW - distributed KW - synchrotron KW - site KW - resonance DA - 2018/11 PY - 2018 SN - 978-3-95450-197-7 DO - 10.5072/JACoW-RuPAC2018-TUPSA09 UR - http://jacow.org/rupac2018/papers/tupsa09.pdf ER -