caa a22 4500 463197291 CHVBK 20180406164926.0 cr unu---uuuuu 170326e20070501xx s 000 0 eng 10.1007/s10773-006-9268-z doi (NATIONALLICENCE)springer-10.1007/s10773-006-9268-z Noether-Symmetry Analysis using Alternative Lagrangian Representations [Elektronische Daten] [Benoy Talukdar, Amitava Choudhuri, U. Das] We have sought to work with an approach to Noether symmetry analysis which uses the properties of infinitesimal point transformations in the space-time (q, t) variable to establish the association between symmetries and conservation laws of a dynamical system. In this approach symmetries are expressed in the form of generators. We have studied the variational or Noether symmetries of two uncoupled Harmonic oscillators and two such oscillators coupled by an interaction. Both these systems can have alternative Lagrangian representations. We have studied in detail how the association between symmetries and conservation laws changes as one alters the analytic or Lagrangian representation. This analysis is carried out with a view to explicitly demonstrate that the correlation between symmetry transformation and corresponding invariant quantity depends crucially on the choice of the analytic representation. Springer Science+Business Media, LLC, 2007 Newtonian system nationallicence alternative Lagrangian representations nationallicence Noether symmetry nationallicence conservation laws nationallicence Talukdar Benoy Department of Physics, Visva-Bharati, 731235, Santiniketan, India aut Choudhuri Amitava Department of Physics, Visva-Bharati, 731235, Santiniketan, India aut Das U. Department of Physics, Abhedananda Mahavidyalaya, 731234, Sainthia, India aut International Journal of Theoretical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 46/5(2007-05-01), 1229-1253 0020-7748 46:5<1229 2007 46 10773 https://doi.org/10.1007/s10773-006-9268-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10773-006-9268-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Talukdar Benoy Department of Physics, Visva-Bharati, 731235, Santiniketan, India aut NATIONALLICENCE 700 1- Choudhuri Amitava Department of Physics, Visva-Bharati, 731235, Santiniketan, India aut NATIONALLICENCE 700 1- Das U. Department of Physics, Abhedananda Mahavidyalaya, 731234, Sainthia, India aut NATIONALLICENCE 773 0- International Journal of Theoretical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 46/5(2007-05-01), 1229-1253 0020-7748 46:5<1229 2007 46 10773 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer