Mahito Kohmoto   Tohru Koma   Shu Nakamura   
2011年11月
We study the relationship between the spectral shift function and the excess<br />
charge in potential scattering theory. Although these quantities are closely<br />
related to each other, they have been often formulated in different settings so<b...
Frédéric Klopp   Michael Loss   Shu Nakamura   Günter Stolz   
Oper. Theory Adv. Appl., 224 (2012), 183-219 2011年7月
We give a detailed survey of results obtained in the most recent half decade<br />
which led to a deeper understanding of the random displacement model, a model<br />
of a random Schr\"odinger operator which describes the quantum mechanics of...
Let be a scattering manifold, i.e., a Riemannian manifold with<br />
asymptotically conic structure, and let be a Schr\"odinger operator on .<br />
We can construct a natural time-dependent scattering theory for with a<br />
su...
Frederic Klopp   Michael Loss   Shu Nakamura   Guenter Stolz   
MATHEMATICAL RESULTS IN QUANTUM PHYSICS 169-175 2011年
This is a summary of recent work, jointly with J. Baker, F. Klopp and S. Nakamura, concerning the random displacement model resulting in a proof of localization near the edge of the deterministic spectrum. Localization is meant in both senses, pur...