Lie algebraic approach and quantum treatment of an anisotropic charged particle via the quadratic invariant

2011 ◽  
Vol 52 (8) ◽  
pp. 083504 ◽  
Author(s):  
M. Sebawe Abdalla ◽  
P. G. L. Leach
Keyword(s):  
Charged Particle ◽  
Algebraic Approach ◽  
Quadratic Invariant ◽  
Quantum Treatment

An algebraic approach for a charged particle in a certain magnetic field

2007 ◽  
Vol 75 (3) ◽  
pp. 250-252 ◽  
Author(s):  
Mohammad R Setare ◽  
Ghafar Olfati
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Algebraic Approach

scholarly journals An algebraic approach to a charged particle in a uniform magnetic field

2018 ◽  
Vol 64 (2) ◽  
pp. 127
Author(s):  
D. Ojeda-Guillén ◽  
M. Salazar-Ramírez ◽  
R.D. Mota ◽  
V.D. Granados
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Harmonic Oscillator ◽  
Coherent States ◽  
Uniform Magnetic Field ◽  
Similarity Transformation ◽  
Algebraic Approach ◽  
Landau Gauge ◽  
Displacement Operator ◽  
Symmetric Gauge

We study the problem of a charged particle in a uniform magnetic field with two different gauges, known as Landau and symmetric gauges. By using a similarity transformation in terms of the displacement operator we show that, for the Landau gauge, the eigenfunctions for this problem are the harmonic oscillator number coherent states. In the symmetric gauge, we calculate the SU(1; 1) Perelomov number coherent states for this problem in cylindrical coordinates in a closed form. Finally, we show that these Perelomov number coherent states are related to the harmonic oscillator number coherent states by the contraction of the SU(1; 1) group to the Heisenberg-Weyl group.

Radiation of Charge Moving Between Two Planar Periodic Wire Structures

2020 ◽  
Vol 23 (1) ◽  
pp. 66-71
Author(s):  
E. A. Gurnevich ◽  
I. V. Moroz
Keyword(s):  
Angular Distribution ◽  
Charged Particle ◽  
Research And Development ◽  
High Power ◽  
Free Electron ◽  
Radiation Intensity ◽  
Free Electron Lasers ◽  
Radiation Sources ◽  
Power Radiation ◽  
High Power Radiation

The Smith-Purcell radiation of a charged particle moving in a periodic structure is analysed theoretically. The considered structure consists of two planar diffraction gratings with different periods which are formed by parallel conducting wires. The analytical expression for the spectral-angular distribution of radiation is obtained. It is shown that the angular distribution of radiation can be made narrower by using two gratings instead of one, and radiation intensity can be manipulated by parallel relative shift of gratings. The obtained results are of great importance for the research and development of high power radiation sources based on volume free-electron lasers.

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