Uniqueness results for discrete Shrödinger evolution
Language
en
Article de revue
This item was published in
Revista Matemática Iberoamericana. 2018, vol. 34, p. 949-966
European Mathematical Society
English Abstract
We prove that if a solution of the discrete time-dependent Schrödinger equation with bounded time-independent real potential decays fast at two distinct times then the solution is trivial. For the free Shrödinger operator ...Read more >
We prove that if a solution of the discrete time-dependent Schrödinger equation with bounded time-independent real potential decays fast at two distinct times then the solution is trivial. For the free Shrödinger operator or operators with compactly supported potential a sharp analog of the Hardy uncertainty principle is obtained. The argument is based on the theory of entire functions. Logarithmic convexity of weighted norms is employed for the case of general real-valued bounded potential, for this case the result is not optimal.Read less <
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Analyse Variationnelle en Tomographies photoacoustique, thermoacoustique et ultrasonore - ANR-12-BS01-0001
Géométrie des mesures convexes et discrètes - ANR-11-BS01-0007
Initiative d'excellence de l'Université de Bordeaux - ANR-10-IDEX-0003
Géométrie des mesures convexes et discrètes - ANR-11-BS01-0007
Initiative d'excellence de l'Université de Bordeaux - ANR-10-IDEX-0003
Origin
Hal imported