Relativistic particles in interaction with a plane wave plus a parallel magnetic field: a path integral treatment

1996 ◽  
Vol 111 (1) ◽  
pp. 99-110 ◽  
Author(s):  
B. Bentag ◽  
L. Chetouani ◽  
L. Guechi ◽  
T. F. Hammann
Keyword(s):  
Magnetic Field ◽  
Plane Wave ◽  
Path Integral ◽  
Parallel Magnetic Field ◽  
Integral Treatment ◽  
Relativistic Particles

WHITE NOISE PATH INTEGRAL TREATMENT OF THE PROBABILITY DISTRIBUTION FOR THE AREA ENCLOSED BY A POLYMER LOOP IN CROSSED ELECTRIC-MAGNETIC FIELDS

2012 ◽  
Vol 17 ◽  
pp. 77-82
Author(s):  
BEVERLY V. GEMAO ◽  
JINKY B. BORNALES
Keyword(s):  
Magnetic Field ◽  
Brownian Motion ◽  
Probability Distribution ◽  
Magnetic Fields ◽  
White Noise ◽  
Probability Density ◽  
Path Integral ◽  
Integral Treatment ◽  
The Many ◽  
The Magnetic Field

The probability density for the area A enclosed by a polymer loop in crossed electric-magnetic fields is evaluated using the Hida-Streit formulation. In this approach, the many possible conformations of the polymer, x(v) and y(v), are represented by paths and are parametrized in terms Brownian motion. When the magnetic field is switched off, results agree with the works of Khandekar and Wiegel5

Dirac Particle in a Constant Magnetic Field: Path Integral Treatment

2008 ◽  
Vol 63 (5-6) ◽  
pp. 283-290 ◽  
Author(s):  
Abdeldjalil Merdaci ◽  
Nadira Boudiaf ◽  
Lyazid Chetouani
Keyword(s):  
Magnetic Field ◽  
Energy Spectrum ◽  
Path Integral ◽  
Constant Magnetic Field ◽  
Dirac Particle ◽  
Wave Functions ◽  
Green Functions ◽  
Integral Treatment ◽  
Global And Local

The Green functions related to a Dirac particle in a constant magnetic field are calculated via two methods, global and local, by using the supersymmetric formalism of Fradkin and Gitman. The energy spectrum as well as the corresponding wave functions are extracted following these two approaches.

White Noise Path Integral Treatment of a Two-dimensional Dirac Oscillator in a Uniform Magnetic Field

2008 ◽  
Author(s):  
Lyndon D. Bastatas ◽  
Jinky B. Bornales ◽  
Christopher C. Bernido ◽  
M. Victoria Carpio-Bernido
Keyword(s):  
Magnetic Field ◽  
White Noise ◽  
Path Integral ◽  
Uniform Magnetic Field ◽  
Two Dimensional ◽  
Dirac Oscillator ◽  
Integral Treatment

scholarly journals The effect of magnetic field on the dynamics of gas bubbles in water electrolysis

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Yan-Hom Li ◽  
Yen-Ju Chen
Keyword(s):  
Magnetic Field ◽  
Swirling Flow ◽  
Gas Bubbles ◽  
Water Electrolysis ◽  
Platinum Electrodes ◽  
Optimal Layout ◽  
Parallel Magnetic Field ◽  
Hydrogen Bubbles ◽  
The Magnetic Field ◽  
Sluggish Flow

AbstractThis study determines the effect of the configuration of the magnetic field on the movement of gas bubbles that evolve from platinum electrodes. Oxygen and hydrogen bubbles respectively evolve from the surface of the anode and cathode and behave differently in the presence of a magnetic field due to their paramagnetic and diamagnetic characteristics. A magnetic field perpendicular to the surface of the horizontal electrode causes the bubbles to revolve. Oxygen and hydrogen bubbles revolve in opposite directions to create a swirling flow and spread the bubbles between the electrodes, which increases conductivity and the effectiveness of electrolysis. For vertical electrodes under the influence of a parallel magnetic field, a horizontal Lorentz force effectively detaches the bubbles and increases the conductivity and the effectiveness of electrolysis. However, if the layout of the electrodes and magnetic field results in upward or downward Lorentz forces that counter the buoyancy force, a sluggish flow in the duct inhibits the movement of the bubbles and decreases the conductivity and the charging performance. The results in this study determine the optimal layout for an electrode and a magnetic field to increase the conductivity and the effectiveness of water electrolysis, which is applicable to various fields including energy conversion, biotechnology, and magnetohydrodynamic thruster used in seawater.

Path integral for spinning particle in magnetic field via bosonic coherent states

1995 ◽  
Vol 36 (4) ◽  
pp. 1602-1615 ◽  
Author(s):  
T. Boudjedaa ◽  
A. Bounames ◽  
L. Chetouani ◽  
T. F. Hammann ◽  
Kh. Nouicer
Keyword(s):  
Magnetic Field ◽  
Path Integral ◽  
Coherent States ◽  
Spinning Particle
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