Nonlinear electromagnetic fields and symmetries
نویسندگان
چکیده
منابع مشابه
New symmetries and conservation laws for electromagnetic fields
It is well known that classical conservation laws of energy, momentum, angular momentum and center-of-energy movement of the electromagnetic field are the consequences of the Maxwell equations invariance with respect to Poincare transformations. However, the relativistic invariance does not exhaust all symmetry properties of these equations. A natural question arises whether there exist any oth...
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Actually, in general dimension n ≥ 2, the magnetic field B is a 2-form where Bi,j = ∂jAk − ∂kAj ; in the case n = 3, B = curlA. The function U : R → R represents an electric potential. In the sequel, for the sake of simplicity, we limit ourselves to the particular case in which f(x, t) = K(x)|t|t, with p > 1 if n = 2 and 1 < p < n+2 n−2 if n ≥ 3. It is now well known that the nonlinear Schrödin...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2017
ISSN: 2470-0010,2470-0029
DOI: 10.1103/physrevd.95.124037