Finite boundary element using vector and scalar potentials for open boundary magnetic field problem

1983 ◽  
Vol 103 (4) ◽  
pp. 23-31 ◽  
Author(s):  
Takashi Onuki ◽  
Atsushi Ishiyama ◽  
Tsutomu Abe
Keyword(s):  
Magnetic Field ◽  
Boundary Element ◽  
Open Boundary ◽  
Field Problem ◽  
Finite Boundary ◽  
Scalar Potentials

Finite-Element Analysis of Magnetic Field Problem With Open Boundary Using Infinite Edge Element

2011 ◽  
Vol 47 (5) ◽  
pp. 1194-1197 ◽  
Author(s):  
Satoshi Tamitani ◽  
Tomoaki Takamatsu ◽  
Asuka Otake ◽  
Shinji Wakao ◽  
Akihisa Kameari ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Open Boundary ◽  
Element Analysis ◽  
Field Problem ◽  
Edge Element

Electron propagator solution for an inhomogeneous magnetic field in the momentum space representation

2020 ◽  
Vol 35 (25) ◽  
pp. 2050150
Author(s):  
H. Hamdi ◽  
H. Benzair
Keyword(s):  
Magnetic Field ◽  
Momentum Space ◽  
Relativistic Quantum ◽  
Inhomogeneous Magnetic Field ◽  
Relativistic Quantum Mechanics ◽  
Space Representation ◽  
Integral Formalism ◽  
Field Problem ◽  
Energy Eigenvalues ◽  
Transformation Methods

The relativistic quantum mechanics of the electron in an inhomogeneous magnetic field problem is solved exactly in terms of the momentum space path integral formalism. We adopt the space–time transformation methods, which are [Formula: see text]-point discretization dependent, to evaluate quantum corrections. The propagator is calculated, the energy eigenvalues and their associated curves are illustrated. The limit case is then deduced for a small parameter.

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