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New $L^p$ Estimates for Solutions to the Schrödinger Equations and Time Asymptotic Behavior of Observables

New $L^p$ Estimates for Solutions to the Schrödinger Equations and Time Asymptotic Behavior of Observables

We consider the Schrodinger operator H=H 0 +V in the Hilbert space L 2 (R n ), n≥1, where H 0 is the self-adjoint realization of −Δ in L 2 (R n ) and V is a symmetric operator with H 0 -bound less than one. This paper is mainly …