scholarly journals Quantum speed limit for a relativistic electron in a uniform magnetic field

2015 ◽  
Vol 92 (4) ◽  
Author(s):  
D. V. Villamizar ◽  
E. I. Duzzioni
Keyword(s):  
Magnetic Field ◽  
Relativistic Electron ◽  
Uniform Magnetic Field ◽  
Speed Limit

scholarly journals Quantum speed limit for a relativistic electron in the noncommutative phase space

2017 ◽  
Vol 32 (23n24) ◽  
pp. 1750143 ◽  
Author(s):  
Kang Wang ◽  
Yu-Fei Zhang ◽  
Qing Wang ◽  
Zheng-Wen Long ◽  
Jian Jing
Keyword(s):  
Relativistic Electron ◽  
Uniform Magnetic Field ◽  
Lorentz Invariance ◽  
Relativistic Quantum ◽  
Quantum Mechanical ◽  
Speed Limit ◽  
Speed Of Light ◽  
Minimum Evolution ◽  
Noncommutative Phase Space ◽  
Average Speed

The influence of the noncommutativity on the average speed of a relativistic electron interacting with a uniform magnetic field within the minimum evolution time is investigated. We find that it is possible for the wave packet of the electron to travel faster than the speed of light in vacuum because of the noncommutativity. It is a clear signature of violating Lorentz invariance in the noncommutative relativistic quantum mechanical region.

A REALIZATION OF DYNAMIC GROUP FOR AN ELECTRON IN A UNIFORM MAGNETIC FIELD

2002 ◽  
Vol 11 (04) ◽  
pp. 265-271 ◽  
Author(s):  
SHISHAN DONG ◽  
SHI-HAI DONG
Keyword(s):  
Magnetic Field ◽  
Relativistic Electron ◽  
Uniform Magnetic Field ◽  
Wave Functions ◽  
Matrix Elements ◽  
Eigenvalues And Eigenfunctions ◽  
Radial Wave ◽  
Creation And Annihilation Operators ◽  
The Matrix ◽  
Analytical Expressions

The eigenvalues and eigenfunctions of the Schrödinger equation with a non-relativistic electron in a uniform magnetic field are presented. A realization of the creation and annihilation operators for the radial wave-functions is carried out. It is shown that these operators satisfy the commutation relations of an SU(1,1) group. Closed analytical expressions are evaluated for the matrix elements of different functions ρ2 and [Formula: see text].

Electron cyclotron masing and the force due to net stimulated bremsstrahlung in an electron cyclotron maser using a dilute non-relativistic electron beam

1988 ◽  
Vol 39 (2) ◽  
pp. 229-239 ◽  
Author(s):  
S. H. Kim
Keyword(s):  
Magnetic Field ◽  
Electron Beam ◽  
Electromagnetic Wave ◽  
Relativistic Electron ◽  
Uniform Magnetic Field ◽  
Relativistic Electron Beam ◽  
Ponderomotive Force ◽  
Electron Cyclotron ◽  
Stimulated Emission ◽  
Cyclotron Maser

The amplification of an electromagnetic wave by net stimulated bremsstrahlung (the emission by stimulated bremsstrahlung minus the absorption by inverse bremsstrahlung) injected into a non-relativistic dilute electron beam travelling in a uniform magnetic field is considered. The d.c. ponderomotive force by net stimulated emission is calculated by using quantum kinetics. From the calculated ponderomotive force, the amplification of the intensity of the electromagnetic wave by the net stimulated bremsstrahlung is derived as a function of the relevant parameters of the electromagnetic wave and the electron beam. It is found that masing is possible when the perpendicular temperature of the electron beam is greater than its parallel temperature. It is shown that the efficiency of a practical gyrotron cannot be explained by the phase-bunching concept, and that simulated bremsstrahlung has nothing to do with any phase bunching.

scholarly journals STOCHASTIC MECHANISM OF BROADENING SPECTRAL DENSITY OF SYNCHROTRON RADIATION OF RELATIVISTIC ELECTRON

2021 ◽  
pp. 24-27
Author(s):  
A.S. Mazmanishvili
Keyword(s):  
Magnetic Field ◽  
Synchrotron Radiation ◽  
Spectral Density ◽  
Relativistic Electron ◽  
Uniform Magnetic Field ◽  
Critical Frequency ◽  
Spectral Profile ◽  
Frequency Range ◽  
Stochastic Fluctuations ◽  
Stochastic Mechanism

The consideration is based on the study of the spectral profile of the synchrotron radiation (SR) line of a relativistic electron orbiting in a circular orbit in the uniform magnetic field. Fast stochastic fluctuations accompanying the motion of the electron during emission of SR quanta lead to the formation of spectral contour of each SR harmonic and it’s broadening. It is shown that the joint broadening of the set of harmonics causes broadening of the SR spectrum as the whole. The results of numerical calculations on the formation of the final SR spectral density of a relativistic electron are presented. In order to obtain precision characteristics, the formation of SR density in the frequency range exceeding the critical frequency has been studied.

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