Commented translation of Erwin Schrödinger's paper 'On the dynamics of elastically coupled point systems' (Zur Dynamik elastisch gekoppelter Punktsysteme). (January 2021)

• Record Type: Journal Article
• Authors: Mühlich, Uwe; Abali, Bilen Emek; dell'Isola, Francesco
• Is Part Of: Mathematics and mechanics of solids. Volume 26:Number 1(2021)
• Page Start: 133
• Page End: 147
• Publication Date: 2021-01
• Subjects: Generalised mechanics -- metamaterials -- nonlocal theories; Materials -- Mechanical properties -- Periodicals; Solids -- Periodicals; Materials science -- Mathematics -- Periodicals; 620.11205
• DOI: 10.1177/1081286520942955
• Languages: English
• ISSNs: 1081-2865

Abstract

The paper ' Zur Dynamik elastisch gekoppelter Punktsysteme ' by Schrödinger (1914) does not seem to have attracted the attention that it deserves. We translate it into English here and we discuss its results in detail, with a view to its possible influence in the modern theories of generalised continua. The clever solution found, in terms of Bessel functions, by Schrödinger of the problem of the vibrations of a linear infinite chain of molecules gives some important methodological hints for contemporary research.