Paper  Title  Page 

TUPMK012  Acceleration of Charged Particles by Own Field in a NonStationary OneDimensional Stream  1516 


The behavior of a nonstationary stream of the charged particles interacting with own field is studied. For the description the integral of the movement received in works * **  Meshchersky's integral is used. The additional integral of the movement  interfaced to Meshchersky's integral, necessary for completely selfagreed description of a stream of the particles interacting with own field is constructed. The system of the equations reducing a problem to the solution of system of the ordinary differential equations is removed. Private decisions for potential, density of particles and density of current are provided. Earlier the problem was studied in work ***.
* Mestschersky J. Astronomische Nachrichten, 1893, T.132, N3153, p. 9. ** Nestschersky ibid, 1902, T.159, N3807, p. 15. *** Chikhachev A.S., Technical Phisics, 2014, vol 59, N 4, pp 487493. 

DOI •  reference for this paper ※ https://doi.org/10.18429/JACoWIPAC2018TUPMK012  
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