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S.Dobrokhotov
, D.Minenkov (A.Ishlinskii Institute for Problems inn Mechanics Russian Academy of Sciences
, Moscow institute of Physics andn Technology
2014
We make use of the Maupertuis -- Jacobi correspondence, well known in Classical Mechanics, to simplify 2-D asymptotic formulas based on Maslovs canonical operator, when constructing Lagrangian manifolds invariant with respect to phase flows for Hamil
tonians of the form $F(x,|p|)$. As examples we consider Hamiltonians coming from the Schrodinger equation, the 2-D Dirac equation for graphene and linear water wave theory.