Lusternik–Schnirelman theory for the action integral of the Lorentz force equation

2020 ◽  
Vol 59 (2) ◽  
Author(s):  
David Arcoya ◽  
Cristian Bereanu ◽  
Pedro J. Torres
Keyword(s):  
Lorentz Force ◽  
Action Integral ◽  
Force Equation

Basic Analysis of Magnetic Field in High Temperature Bulk Superconductors

2007 ◽  
Vol 546-549 ◽  
pp. 2115-2118
Author(s):  
Jian Qing Yang ◽  
G.D. Chen ◽  
Xiao Yang Yuan ◽  
You Zhang Zhu
Keyword(s):  
Magnetic Field ◽  
High Temperature ◽  
Lorentz Force ◽  
Analytical Method ◽  
Critical State ◽  
Permanent Magnets ◽  
Levitation Force ◽  
Field Equations ◽  
Force Equation ◽  
Bulk Superconductors

The analysis of magnetic field in high temperature bulk superconductors is presented in this paper. The macroscopic field equations were constructed on the basis of the critical state model and levitation forces ware analyzed between permanent magnets (PM) and HTSC using analytical method. The levitation force between permanent magnets (PM) and HTSC calculation were obtained by using Lorentz force equation [1]. The analytical results show that the presented method is comparatively accurate by comparing the measured levitation forces and the calculation ones. Some relations between B(r, t) and levitation force’s hysteresis are investigated.

Maslov index and Morse theory for the relativistic Lorentz force equation

2004 ◽  
Vol 113 (4) ◽  
pp. 471-506 ◽  
Author(s):  
Erasmo Caponio ◽  
Antonio Masiello ◽  
Paolo Piccione
Keyword(s):  
Lorentz Force ◽  
Morse Theory ◽  
Maslov Index ◽  
Force Equation

Critical Point Theory for the Lorentz Force Equation

2019 ◽  
Vol 232 (3) ◽  
pp. 1685-1724 ◽  
Author(s):  
David Arcoya ◽  
Cristian Bereanu ◽  
Pedro J. Torres
Keyword(s):  
Critical Point ◽  
Lorentz Force ◽  
Critical Point Theory ◽  
Point Theory ◽  
Force Equation

The Avez–Seifert theorem for the relativistic Lorentz force equation

2004 ◽  
Vol 45 (11) ◽  
pp. 4134-4140 ◽  
Author(s):  
Erasmo Caponio ◽  
Antonio Masiello
Keyword(s):  
Lorentz Force ◽  
Force Equation
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