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- W2409472033 abstract "In an earlier joint paper with B. Simon, we defined a notion of intrinsic ultracontractivity for Schrodinger operators, and obtained a lower bound on the ground state eigenfunction which implies it. In this paper we present a method of verifying this condition which applies to a variety of particular cases. We also prove another generalization of the uncertainty principle lemma which has been so important in the study of ultracontractivity and other spectral properties of Schrodinger operators On a defini, precedemment, la notion d'ultracontractivite intrinseque pour les operateurs de Schrodinger et on a obtenu une borne inferieure sur la fonction propre de l'etat fondamental qui entraine cette propriete. On presente, ici, une methode pour verifier cette condition qui s'applique a un ensemble varie de cas particuliers. On prouve aussi une autre generalisation du lemme exprimant le principe d'incertitude qui a ete important dans l'etude de l'ultracontractivite et des autres proprietes spectrales des operateurs de Schrodinger" @default.
- W2409472033 created "2016-06-24" @default.
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- W2409472033 date "1985-01-01" @default.
- W2409472033 modified "2023-09-26" @default.
- W2409472033 title "Criteria for ultracontractivity" @default.
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