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• W2912147697 abstract "In this paper we show that, for a sub-Laplacian $Delta$ on a $3$-dimensional manifold $M$, no point interaction centered at a point $q_0in M$ exists. When $M$ is complete w.r.t. the associated sub-Riemannian structure, this means that $Delta$ acting on $C^infty_0(Msetminus{q_0})$ is essentially self-adjoint. A particular example is the standard sub-Laplacian on the Heisenberg group. This is in stark contrast with what happens in a Riemannian manifold $N$, whose associated Laplace-Beltrami operator is never essentially self-adjoint on $C^infty_0(Nsetminus{q_0})$, if $dim Nle 3$. We then apply this result to the Schrodinger evolution of a thin molecule, i.e., with a vanishing moment of inertia, rotating around its center of mass." @default.
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• W2912147697 date "2021-08-01" @default.
• W2912147697 modified "2023-10-14" @default.
• W2912147697 title "Point interactions for 3D sub-Laplacians" @default.
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• W2912147697 doi "https://doi.org/10.1016/j.anihpc.2020.10.007" @default.
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