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math-ph2017
Combinatorial invariant of nearly integrable Hamiltonians
Quang Sang Phan
We work with small non-selfadjoint perturbations of a selfadjoint quantum Hamiltonian with two degrees of freedom, assuming that the principal symbol of the selfadjoint part is (cl…
math.AP2017
Spectral monodromy of small non-selfadjoint quantum perturbations of completely integrable Hamiltonians
Quang Sang Phan
We define a monodromy, directly from the spectrum of small non-selfadjoint perturbations of a selfadjoint semiclassical operator with two degrees of freedom, which is classically i…