Exact Solution to the Equation of Motion of a Charged Particle Driven by an Electrostatic Wave

YANG Yi-Ming; JIN Zhen-Xing; QIAN Bao-Liang

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 2008, Vol. 32> Issue(S1) : 229-230

Exact Solution to the Equation of Motion of a Charged Particle Driven by an Electrostatic Wave

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Abstract：
An exact solution is derived for the equation of motion of a charged particle driven by an electrostatic wave. The explicit expression of particle velocity is obtained, and the trapping condition of the charged particle in the electrostatic wave is also derived exactly. The interaction between the charged particle and the electrostatic wave is discussed, which is a supplement to the existing textbook of plasma physics. The results are of interest to particle accelerators, microwave tubes, and basic plasma processes.

References

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. Landau, Lifshitz E M. The Classical Theory of Fields [M].Pergamon Press, Oxpord, 1975. 1182. Jory H R, Trivelpicec A W. J. Appl. Phys., 1968, 39: 30533. Shesalin J V. IEEE Trans. Plasma Sci., 1988, PS-16: 3904. Acherya S, Saxena A C. IEEE Trans. Plasma Sci., 1993,PS-21: 2575. Roberts C S, Buchsbaum S J. Phys. Rev., 1964, A135: 3816. Villalon E, Burke W J. Phys. Fluids, 1987, 30: 369657. QIAN B L. Physics of Plasmas, 2000, 7: 537

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YANG Yi-Ming, JIN Zhen-Xing and QIAN Bao-Liang. Exact Solution to the Equation of Motion of a Charged Particle Driven by an Electrostatic Wave[J]. Chinese Physics C, 2008, 32(S1): 229-230.

YANG Yi-Ming, JIN Zhen-Xing and QIAN Bao-Liang. Exact Solution to the Equation of Motion of a Charged Particle Driven by an Electrostatic Wave[J]. Chinese Physics C, 2008, 32(S1): 229-230. shu

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Received: 2008-01-10
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Exact Solution to the Equation of Motion of a Charged Particle Driven by an Electrostatic Wave

Corresponding author: YANG Yi-Ming,

Received Date: 2008-01-10
Accepted Date: 1900-01-01
Available Online: 2008-01-04

Abstract: An exact solution is derived for the equation of motion of a charged particle driven by an electrostatic wave. The explicit expression of particle velocity is obtained, and the trapping condition of the charged particle in the electrostatic wave is also derived exactly. The interaction between the charged particle and the electrostatic wave is discussed, which is a supplement to the existing textbook of plasma physics. The results are of interest to particle accelerators, microwave tubes, and basic plasma processes.