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Ampere-Maxwell law

Taking into account the continuity equation in the frequency domain V J —j ujp = 0, we may express the Maxwell-Ampere law and the Gauss electric field law as... [Pg.2]

Next, we consider the integral form of the Maxwell equations, i.e., for Faraday s induction law and Maxwell-Ampere law we integrate the differential equations on an open surface and apply the Stokes theorem, while for Gauss electric and magnetic field laws we integrate the differential equations on a bounded domain and use the Gauss theorem. [Pg.198]

The Lorentz force coupled with the Ampere law and the Faraday law leads to the balance of electromagnetic momentum2 which involves the (divergence of) electromagnetic (Maxwell) stress. The isotropic limit of this stress is the electromagnetic pressure... [Pg.398]

The Ampere law from which the nonpotential character of the magnetic field follows is the next Maxwell equation. It follows from this law that the source of the magnetic field is the electric current and that it is of a nonpotential character ... [Pg.351]

Noether charges proportional to the remaining right-hand-side terms do not disappear, leaving one of the Lehnert equations [7-10]. Lehnert introduced the vacuum charge empirically. Lehnert and Roy [10] have given clear empirical evidence for the existence of vacuum charge and current. The latter appears in the 0(3) Ampere-Maxwell law, which in field-matter interaction is... [Pg.106]

The 0(3) Coulomb and Ampere-Maxwell laws in the vacuum are therefore written in terms of displacement and magnetic field strength, and are as follows. The Coulomb Law in the vacuum is... [Pg.194]

In the received opinion [5], these are the vacuum Faraday law and Ampere-Maxwell law, respectively. The vacuum charges and currents are missing in the received opinion. Nevertheless, solving Eq. (625) numerically is a useful computational problem with boundary conditions stipulated in the vacuum. The potentials and fields are related as usual by... [Pg.199]

XIV. 0(3) and SU(3) Invariance from the Received Faraday and Ampere-Maxwell Laws... [Pg.1]

XIV. 0(3) AND SU(3) INVARIANCE FROM THE RECEIVED FARADAY AND AMPERE-MAXWELL LAWS... [Pg.142]

The received Faraday and Ampere-Maxwell laws [111] in the vacuum asserts that there are fields without sources, so the laws become respectively... [Pg.142]

See other pages where Ampere-Maxwell law is mentioned: [Pg.1]    [Pg.2]    [Pg.2]    [Pg.199]    [Pg.1]    [Pg.2]    [Pg.2]    [Pg.199]    [Pg.113]    [Pg.397]    [Pg.350]    [Pg.352]    [Pg.380]    [Pg.781]    [Pg.1135]    [Pg.131]    [Pg.105]    [Pg.161]    [Pg.194]    [Pg.227]    [Pg.143]    [Pg.144]    [Pg.145]    [Pg.53]    [Pg.54]    [Pg.378]   


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