• Quasi-invariants and generalized Killing vectors-II

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      https://www.ias.ac.in/article/fulltext/pram/027/03/0363-0370

    • Keywords

       

      Invariants; Killing vectors; Jacobi metric

    • Abstract

       

      We consider here the problem of the existence of a quasi-invariant which is linear in the momenta for Hamiltonians in three degrees of freedom. We show that such quasi-invariants are more constrained in their structure than in the two degrees of freedom case. We also show that some of these quasi-invariants have to be interpreted as ‘pseudo-translations’, i.e., as translations in a non-orthogonal system of coordinates.

    • Author Affiliations

       

      B R Sitaram1 Ram K Varma1

      1. Physical Research Laboratory, Navrangpura, Ahmedabad - 380 009, India
    • Dates

       
  • Pramana – Journal of Physics | News

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