46 citations · 224 across the 37 of their papers we have counts for
Showing 2011Show all
3 papers · 1 filter
math-ph2011
The Spectral Shift Function and The Friedel Sum Rule
Mahito Kohmoto, Tohru Koma, Shu Nakamura
We study the relationship between the spectral shift function and the excess charge in potential scattering theory. Although these quantities are closely related to each other, the…
math-ph2011
Understanding the Random Displacement Model: From Ground-State Properties to Localization
Frédéric Klopp, Michael Loss, Shu Nakamura +1
We give a detailed survey of results obtained in the most recent half decade which led to a deeper understanding of the random displacement model, a model of a random Schrödinger o…
math.AP2011★ 1 cited
Microlocal properties of scattering matrices for Schrödinger equations on scattering manifolds
Kenichi Ito, Shu Nakamura
Let be a scattering manifold, i.e., a Riemannian manifold with asymptotically conic structure, and let be a Schrödinger operator on . We can construct a natural time-dep…