Charged particle in the uniform static magnetic field: An operator solution to the classical problem

1992 ◽  
Vol 60 (10) ◽  
pp. 945-945
Author(s):  
Radosl/aw Szmytkowski
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Static Magnetic Field ◽  
Classical Problem ◽  
Operator Solution

scholarly journals Drift of a Charged Particle in a Static Magnetic Field Having a Power Law Dependence

1975 ◽  
Vol 28 (3) ◽  
pp. 289 ◽  
Author(s):  
M Headland ◽  
PW Seymour
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Exact Solutions ◽  
Drift Velocity ◽  
Static Magnetic Field ◽  
Special Solutions ◽  
Complete Elliptic Integrals ◽  
Bound Orbits ◽  
Constant Gradient ◽  
Velocity Region

As a generalization of Seymour's (1959) exact solution for the drift velocity of a charged particle in a static magnetic field of constant gradient, exact solutions are obtained for charged particle drift in a static magnetic field represented by B. = AX', where A and IX are constants. Four cases of bound orbits are analysed. Exact solutions in terms of hypergeometric, confluent hypergeometric and gamma functions are obtained for the displacement Ay per cycle, the periodic time T and the drift velocity Vd. The special solutions in terms of complete elliptic integrals obtained by Seymour (1959) are also recovered. Calculated exact drift velocity characteristics for representative conditions are presented, and the manner in which the exact curves merge into the Alfven approximate drift velocity region is indicated.

scholarly journals On The Adiabatic Motion Of A Charged Particle In The Quasi-Static Magnetic Field Of A Solenoid

1966 ◽  
Vol 19 (6) ◽  
pp. 735 ◽  
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Static Magnetic Field ◽  
Time Dependent ◽  
Adiabatic Motion ◽  
Phase Amplitude

Following an alternative phase-amplitude derivation of the general forms of r and q, obtained earlier by Seymour, Leipnik, and Nicholson (SLN) for the motion of a charged particle in the time-dependent magnetic field within a long solenoid, the guiding-ce

scholarly journals Optimized laser vacuum acceleration by static magnetic field

2015 ◽  
Vol 33 (3) ◽  
pp. 433-437 ◽  
Author(s):  
H. Lin ◽  
C. P. Liu ◽  
C. Wang ◽  
B. F. Shen
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Kinetic Energy ◽  
Electric Field ◽  
Static Magnetic Field ◽  
Vacuum Acceleration ◽  
High Kinetic Energy

AbstractLaser vacuum acceleration can be optimized significantly by applying a static magnetic field which is along the direction of laser magnetic field. This setup can cause a charged particle to be of a periodic, oscillatory-rising velocity, and significantly high kinetic energy. Moreover, the contribution from the motion vertical to accelerating electric field is fully taken into account and is found to be essential to efficient acceleration.

To Study the Effect of the Magnetic Field’s Alternative Direction in the Magnetic-Electrochemical Compound Polishing

2011 ◽  
Vol 211-212 ◽  
pp. 416-420
Author(s):  
Li Min Shi ◽  
Jiang Niu Yong ◽  
Yong Feng Ma ◽  
Er Liang Liu
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Chemical Reaction ◽  
Static Magnetic Field ◽  
Charged Particles ◽  
Velocity Equation

In magnetic-electrochemical compound polishing, adding a magnetic field whose direction is parrallel to the electrical field’s directions and is charged alternatively, the velocity of changed particles cannot be accelerated obviously and the efficiency of chemical reaction cannot be promoted consequently, but the chemical reaction is well-distributed and the effect of the polishing is improved. In the paper, the velocity equation and loci equation of the charged particle in electromagnetic feild is concluded and analysed in magnetic-electrochemical compoud poshing in which an alternative direction’s magentic field is added. To be compared the charged particles in alternative direction’s magnetic field with the charged particles in static magnetic field carefully, the conclusion above is obtained. Moreover, a magnetic-electrochemical compound polishing head which can change the magnetic field’s direction easily is developed. At last, the conclusion is tested.

Decreased chemotaxis of human peripheral phagocytes exposed to a strong static magnetic field

2004 ◽  
Vol 91 (1) ◽  
pp. 59-65 ◽  
Author(s):  
S Sipka ◽  
I Szöllősi ◽  
Gy Batta ◽  
Gy Szegedi ◽  
Á Illés ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Static Magnetic Field
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