A minimal observable length is a common feature of theories that aim to merge quantum physics and gravity. Quantum mechanically, this concept is associated with a nonzero minimal uncertainty in ...

Taiwanese Journal of Mathematics, Vol. 23, No. 6 (December 2019), pp. 1365-1388 (24 pages) Recently, Lenzmann and the author observed how to obtain a large class of sharp commutator estimates by a ...

Journal of Operator Theory, Vol. 70, No. 1 (Summer 2013), pp. 109-144 (36 pages) We present a variant of Mourre's commutator theory. We apply it to prove the limiting absorption principle for ...

Schrödinger operators, typically formulated as −Δ + V where Δ denotes the Laplacian and V a potential function, are central to quantum mechanics and spectral theory. A key focus in recent ...