46 citations · 224 across the 37 of their papers we have counts for
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math.SP2016★ 1 cited
Spectral shift functions and Dirichlet-to-Neumann maps
Jussi Behrndt, Fritz Gesztesy, Shu Nakamura
The spectral shift function of a pair of self-adjoint operators is expressed via an abstract operator valued Titchmarsh--Weyl -function. This general result is applied to differ…
math-ph2016★ 46 cited
Improving the Lieb-Robinson bound for long-range interactions
T. Matsuta, T. Koma, S. Nakamura
We improve the Lieb-Robinson bound for a wide class of quantum many-body systems with long-range interactions decaying by power law. As an application, we show that the group veloc…
math.AP2016★ 3 cited
Microlocal resolvent estimates, revisited
Shu Nakamura
Let be a Schrödinger type operator with long-range perturbation. We study the wave front set of the distribution kernel of , where is in the absolutely co…