Displacement Current in Classical and Quantum Systems
Ferry, David K. (Arizona State University)
Oriols, Xavier (Universitat Autònoma de Barcelona. Departament d'Enginyeria Electrònica)
Eisenberg, Robert (Rush University Medical Center. Department of Physiology and Biophysics)

Fecha:	2025
Resumen:	It is certain that electrical properties-whether slow (sec) or fast (nsec), even optical (fsec)-are described by Maxwell's equations, and there are terms that depend on the rate of the change of the electric and magnetic fields. In particular, Maxwell's equation for the curl of the magnetic field contains both the steady-state conduction current and a term depending upon the temporal derivative of the electric displacement field. The latter is referred to as the displacement current and is generally believed to have been included originally by Maxwell himself, although there is evidence it was earlier considered by Kirchhoff. Maxwell's equations and Kirchoff's circuit laws both are important over the wide range of frequencies with which electronics traditionally deal. Additionally, the displacement current is an important contribution to these in both classical and quantum mechanics. Here, the development of the displacement current, its importance in both classical and quantum mechanics, and some applications are provided to illustrate the fundamental role that it plays in the dynamics of a wide range of systems.
Ayudas:	Agencia Estatal de Investigación PID2021-127840NB-I00 Agencia Estatal de Investigación PDC2023-145807-I00 European Commission 881603
Derechos:	Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, la comunicació pública de l'obra i la creació d'obres derivades, fins i tot amb finalitats comercials, sempre i quan es reconegui l'autoria de l'obra original.
Lengua:	Anglès
Documento:	Article ; recerca ; Versió publicada
Materia:	Current ; Gauge invariance ; Quantum dynamics ; Classical dynamics
Publicado en:	Computation (Basel), Vol. 13, Issue 2 (February 2025) , art. 45, ISSN 2079-3197

DOI: 10.3390/computation13020045

31 p, 3.6 MB

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