caa a22 4500 463196716 CHVBK 20180406164924.0 cr unu---uuuuu 170326e20071001xx s 000 0 eng 10.1007/s10773-007-9379-1 doi (NATIONALLICENCE)springer-10.1007/s10773-007-9379-1 Afriat Alexander Istituto di Filosofia, Università di Urbino, Via Timoteo Viti 10, 61029, Urbino, Italy aut Optico-Mechanical Analogy: an Axiomatic Approach [Elektronische Daten] [Alexander Afriat] An axiomatic characterization of a ‘two-level Hamiltonian structure' is proposed, which expresses the optico-mechanical analogy by representing optics and mechanics as (disjoint) classes of models satisfying the axioms. There is the ‘Hamilton-Jacobi level', which involves a differential manifold on which the characteristic function satisfying the Hamilton-Jacobi equation is defined; and the ‘symplectic level', involving the Hamiltonian, defined on the cotangent bundle of the manifold. The two levels, with the (analogous) structures on them, concern both optics and mechanics. Springer Science+Business Media, LLC, 2007 International Journal of Theoretical Physics Springer US; http://www.springer-ny.com 46/10(2007-10-01), 2669-2675 0020-7748 46:10<2669 2007 46 10773 https://doi.org/10.1007/s10773-007-9379-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10773-007-9379-1 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Afriat Alexander Istituto di Filosofia, Università di Urbino, Via Timoteo Viti 10, 61029, Urbino, Italy aut NATIONALLICENCE 773 0- International Journal of Theoretical Physics Springer US; http://www.springer-ny.com 46/10(2007-10-01), 2669-2675 0020-7748 46:10<2669 2007 46 10773 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer