An uncertainty principle for solutions of the Schrödinger equation on H-type groups
Langue
en
Article de revue
Ce document a été publié dans
Journal of Australian Mathematical Society. 2021, vol. 111, p. 1-16
Résumé en anglais
In this paper we consider uncertainty principles for solutions of certain PDEs on H-type groups. We first prove that, contrary to the euclidean setting, the heat kernel on H-type groups is not characterized as the only ...Lire la suite >
In this paper we consider uncertainty principles for solutions of certain PDEs on H-type groups. We first prove that, contrary to the euclidean setting, the heat kernel on H-type groups is not characterized as the only solution of the heat equation that has sharp decay at 2 different times. We then prove the analogue of Hardy's Uncertainty Principle for solutions of the Schrödinger equation with potential on H-type groups. This extends the free case considered by Ben Sa¨ıdSa¨ıd, Dogga and Thangavelu [BTD] and by Ludwig and Müller [LM].< Réduire
Mots clés en anglais
and phrases: Uncertainty Principle
H-type group
Schrödinger equation
heat kernel
Origine
Importé de halUnités de recherche