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math.AP2017★ 4 cited
Quantization conditions of eigenvalues for semiclassical Zakharov-Shabat systems on the circle
Setsuro Fujiié, Jens Wittsten
Bohr-Sommerfeld type quantization conditions of semiclassical eigenvalues for the non-selfadjoint Zakharov-Shabat operator on the circle are derived using an exact WKB method. The…
math-ph2017
Semiclassical Trace Formula and Spectral Shift Function for Systems via a Stationary Approach
Marouane Assal, Mouez Dimassi, Setsuro Fujiié
We establish a semiclassical trace formula in a general framework of microhyperbolic hermitian systems of -pseudodifferential operators, and apply it to the study of the spectra…