A generalized virial theorem and the balance of kinetic and potential energies in the semiclassical limit
Yafaev, D. R.
Original · EN
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 ℏ 0. Proofs of these results rely on the generalized virial theorem obtained in the paper as well as on a decay of eigenfunctions in the classically forbidden region.
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