Symplectic inverse spectral theory for pseudodifferential operators
نویسنده
چکیده
We prove, under some generic assumptions, that the semiclassical spectrum modulo O(~) of a one dimensional pseudodifferential operator completely determines the symplectic geometry of the underlying classical system. In particular, the spectrum determines the hamiltonian dynamics of the principal symbol.
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تاریخ انتشار 2017