Mahito Kohmoto   Tohru Koma   Shu Nakamura   
Nov 2011
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 Jul 2011
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
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...
Aharonov-Bohm effect in resonances for magnetic scatteringJapan Society for the Promotion of Science: Grants-in-Aid for Scientific ResearchTAMURA Hideo KAKEHI Tomoyuki IWATSUKA Akira ICHINOSE Takashi MINE Takuya FUJIIE Seturo YAJIMA Kenji NAKAMURA Shu 
Project Year: Apr 2013 - Mar 2016
Mathematical Analysis of Quantum PhysicsJapan Society for the Promotion of Science: Grants-in-Aid for Scientific ResearchYAJIMA Kenji FUJIWARA Daisuke NAKAMURA Shu MIZUTANI Akira WATANABE Kazuo SHIMOMURA Akihiro 
Project Year: 2006 - 2009
Research on Spectra of Random Schrodinger OperatorsJapan Society for the Promotion of Science: Grants-in-Aid for Scientific ResearchUEKI Naomasa MINAMI Nariyuki NAKAMURA Shu SHIGEKAWA Ichiro KOTANI Shinichi 
Project Year: 2006 - 2007
Multi-wavelet frames and applications to harmonic analysisJapan Society for the Promotion of Science: Grants-in-Aid for Scientific ResearchARAI Hitoshi NAKAMURA Shu YOSHIDA Nakahiro KANJIN Yuichi TACHIZAWA Kazuya 
Project Year: 2004 - 2006
Mathematical Analysis of Quantum PhysicsJapan Society for the Promotion of Science: Grants-in-Aid for Scientific ResearchYAJIMA Kenji NAKAMURA Shu FUJIWARA Daisuke MIZUTANI Akira WATANABE Kazuo SHIIMOMURA Akihiro