Maxwell's equations in media as a contact Hamiltonian vector field and its information geometry -- An approach with a bundle whose fiber is a contact manifold

Autor:	Goto, Shin-itiro
Rok vydání:	2017
Předmět:	Mathematical Physics Nonlinear Sciences - Pattern Formation and Solitons
Druh dokumentu:	Working Paper
Popis:	It is shown that Maxwell's equations in media without source can be written as a contact Hamiltonian vector field restricted to a Legendre submanifold, where this submanifold is in a fiber space of a bundle and is generated by either electromagnetic energy functional or co-energy functional. Then, it turns out that Legendre duality for this system gives the induction oriented formulation of Maxwell's equations and field intensity oriented one. Also, information geometry of the Maxwell fields is introduced and discussed. Comment: 26 pages, no fugure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1702.05746 Zobrazit plný text záznamu View this record from Arxiv