A quantum-like entertainement

Autor: Devaud, Martin, Hocquet, Thierry
Přispěvatelé: Matière et Systèmes Complexes (MSC (UMR_7057)), Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS), Hocquet, Thierry
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Popis: We propose an intuitive introduction to some ideas of quantum mechanics, by means of a toy-model: a chain of coupled classical pendula. Quasi-particles are associated with the eigenmodes of the chain, ruled by a Schrödinger-like motion equation when using the classical Glauber variables. The set of the physical states of the system is shown to be a Hilbert C-vector space, in which observables can be defined. A continuous description of the chain leads to a Klein-Gordon motion equation. At last, a 3D extension is proposed, accompanied with a few speculative remarks, inter alia concerning the link with Special Relativity and the covariance of the Schrödinger-like equation.
Databáze: OpenAIRE