Fermat's Principle and Hamilton's Principle: Does a least action take a least time for happening?

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M. Anderson, M. Hadi, U.A. Deta

2020 Journal of Physics: Conference Series Vol. 1467 Issue 1 Conference paper Cited by 1 Quartile

Abstract

We explore deeper and analyse in more detail Fermat's and Hamilton's principles. We try to address some questions: Is it possible to have S negative? Is Hamilton's principle always valid for entire path of the system? Is there a relation between Fermat's principle and Hamilton's principle? We assume analogy with Hamilton's principle, is Fermat's principle always valid for entire path of the system? Does a least action take a least time for happening?. © Published under licence by IOP Publishing Ltd.

Affiliations

Department of Mathematics, Universiti Brunei Darussalam, Negara Brunei Darussalam, Brunei Darussalam; Research Center for Physics, Indonesia Institute of Science (LIPI), Puspiptek, Serpong, Indonesia; Department of Physics, Universitas Negeri Surabaya, Ketintang, Surabaya, Indonesia