A Rellich type theorem for the generalized oscillator

Published 17 Mar 2022 in math-ph and math.MP | (2203.09203v1)

Abstract: For the generalized oscillator, we prove a Rellich type theorem, or characterize the order of growth of eigenfunctions. The proofs are given by an extensive use of commutator arguments invented recently by Ito and Skibsted. These arguments are simple and elementary and do not employ energy cut-offs or microlocal analysis.

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Authors (1)

Tomoya Tagawa

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