• Third and fourth order invariants for one-dimensional time-dependent classical systems

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      https://www.ias.ac.in/article/fulltext/pram/024/05/0663-0672

    • Keywords

       

      Dynamical invariants; time-dependent systems; integrable systems

    • Abstract

       

      The construction of invariants up to fourth order in velocities has been carried out for one-dimensional, time-dependent classical dynamical systems. While the exact results are recovered for the first and second order integrable systems, the results for the third and fourth order invariants are expressed in terms of nonlinearpotential equations. Noticing the separability of the potential in space and time variables these nonlinear equations are reduced to a tractable form. A possible solution for the third order case suggests a new integrable systemV(q, t)t−4/3q1/2.

    • Author Affiliations

       

      R S Kaushal1

      1. Department of Physics, University of Kaiserslautern, Kaiserslautern - 6750, West-Germany
    • Dates

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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