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math-ph2016
Semi-classical quantization rules for a periodic orbit of hyperbolic type
Hanen Louati, Michel Rouleux
Determination of periodic orbits for a Hamiltonian system together with their semi-classical quantization has been a long standing problem. We consider here resonances for a -Ps…
math-ph2016
Semi-classical resonances associated with a periodic orbit of hyperbolic type
Hanen Louati, Michel Rouleux
We consider in this Note resonances for a -Pseudo-Differential Operator on induced by a periodic orbit of hyperbolic type, as arises for Schrödinger opera…
math-ph2016
Regular Bohr-Sommerfeld quantization rules for a h-pseudo-differential operator: The method of positive commutators
Abdelwaheb Ifa, Michel Rouleux
We revisit in this Note the well known Bohr-Sommerfeld quantization rule (BS) for 1-D Pseudo-differential self-adjoint Hamiltonians within the algebraic and microlocal framework of…