Data di Pubblicazione:
2022
Citazione:
Schrödinger operators on Lie groups with purely discrete spectrum / T. Bruno, M. Calzi. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - 404:(2022), pp. 108444.1-108444.45. [10.1016/j.aim.2022.108444]
Abstract:
On a Lie group G, we investigate the discreteness of the spectrum of Schrödinger operators of the form L+V, where L is a subelliptic sub-Laplacian on G and the potential V is a locally integrable function which is bounded from below. We prove general necessary and sufficient conditions for arbitrary potentials, and we obtain explicit characterizations when V is a polynomial on G or belongs to a local Muckenhoupt class. We finally discuss how to transfer our results to weighted sub-Laplacians on G.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Discrete spectrum; Lie groups; Muckenhoupt weights; Schrödinger operators
Elenco autori:
T. Bruno, M. Calzi
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