Derivation of Maxwell’s equations from the local gauge invariance of quantum mechanics

1978 ◽  
Vol 46 (4) ◽  
pp. 342-348 ◽  
Author(s):  
Donald H. Kobe
Keyword(s):  
Quantum Mechanics ◽  
Gauge Invariance ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Local Gauge ◽  
Local Gauge Invariance

Local (Gauge) Invariance

1984 ◽  
pp. 26-37 ◽  
Author(s):  
Masud Chaichian ◽  
Nikolai F. Nelipa
Keyword(s):  
Gauge Invariance ◽  
Local Gauge ◽  
Local Gauge Invariance

scholarly journals Preserving local gauge invariance witht-channel Regge exchange

2015 ◽  
Vol 92 (5) ◽  
Author(s):  
Helmut Haberzettl ◽  
Xiao-Yun Wang ◽  
Jun He
Keyword(s):  
Gauge Invariance ◽  
Local Gauge ◽  
Local Gauge Invariance

scholarly journals Unification of force and substance

2016 ◽  
Vol 374 (2075) ◽  
pp. 20150257 ◽  
Author(s):  
Frank Wilczek
Keyword(s):  
Dynamical Systems ◽  
Gauge Symmetry ◽  
Gauge Invariance ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Physical Significance ◽  
Fundamental Physics ◽  
Present Understanding

Maxwell’s mature presentation of his equations emphasized the unity of electromagnetism and mechanics, subsuming both as ‘dynamical systems’. That intuition of unity has proved both fruitful, as a source of pregnant concepts, and broadly inspiring. A deep aspect of Maxwell’s work is its use of redundant potentials, and the associated requirement of gauge symmetry. Those concepts have become central to our present understanding of fundamental physics, but they can appear to be rather formal and esoteric. Here I discuss two things: the physical significance of gauge invariance, in broad terms; and some tantalizing prospects for further unification, building on that concept, that are visible on the horizon today. If those prospects are realized, Maxwell’s vision of the unity of field and substance will be brought to a new level. This article is part of the themed issue ‘Unifying physics and technology in light of Maxwell's equations’.

Test of local gauge invariance in Proca electrodynamics

2006 ◽  
Vol 352 (4-5) ◽  
pp. 267-271 ◽  
Author(s):  
Liang-Cheng Tu ◽  
Cheng-Gang Shao ◽  
Jie Luo ◽  
Jun Luo
Keyword(s):  
Gauge Invariance ◽  
Local Gauge ◽  
Local Gauge Invariance
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