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math.SP2010
A commutator method for the diagonalization of Hankel operators
D. R. Yafaev
We present a method for the explicit diagonalization of some Hankel operators. This method allows us to recover classical results on the diagonalization of Hankel operators with th…
math.SP2010
A generalized virial theorem and the balance of kinetic and potential energies in the semiclassical limit
D. R. Yafaev
We obtain two-sided bounds on kinetic and potential energies of a bound state of a quantum particle in the semiclassical limit, as the Planck constant $\hbar\ri 0$. Proofs of these…