An uncertainty principle for solutions of the Schrödinger equation on H-type groups
Language
en
Article de revue
This item was published in
Journal of Australian Mathematical Society. 2021, vol. 111, p. 1-16
English Abstract
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 ...Read more >
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].Read less <
English Keywords
and phrases: Uncertainty Principle
H-type group
Schrödinger equation
heat kernel
Origin
Hal imported