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理学部 数学科

Researcher List >> Shu Nakamura
 

Shu Nakamura

 
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NameShu Nakamura
URLhttp://pc1.math.gakushuin.ac.jp/~shu/
AffiliationGakushuin University
SectionGraduate School of Mathematical Sciences
Job title教授
Degree理学博士(東京大学)
Research funding number50183520
J-Global ID201801011273360999

Research Interests

 
microlocal analysis ,semiclasical analysis ,scattering theory ,Schrodinger equations

Research Areas

 
  • Natural sciences / Basic analysis / functional analysis, functional equations

Papers

 
 
Shu Nakamura   Kouichi Taira   
Annales Henri Poincaré      Feb 2023   [Refereed]
 
Shu Nakamura   
Analysis and PDE   15(7) 1725-1762   Dec 2022   [Refereed]
 
Shu Nakamura   Kouichi Taira   
Communications in Mathematical Physics   398(3) 1153-1169   Nov 2022   [Refereed]
 
Pavel Exner   Shu Nakamura   Yukihide Tadano   
Letters in Mathematical Physics   112(4)    Aug 2022   [Refereed]
 
Shu Nakamura   Kouichi Taira   
Annales Henri Lebesgue   4 1035-1059   Sep 2021   [Refereed]

Misc.

 
 
 
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\&quot;odinger operator which describes the quantum mechanics of...
 
Kenichi Ito   Shu Nakamura   
   Feb 2011   
Let Tex be a scattering manifold, i.e., a Riemannian manifold with<br />
asymptotically conic structure, and let Tex be a Schr\&quot;odinger operator on Tex.<br />
We can construct a natural time-dependent scattering theory for Tex 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...

Research Projects

 
 
Aharonov-Bohm effect in resonances for magnetic scattering
Japan Society for the Promotion of Science: Grants-in-Aid for Scientific Research
TAMURA 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 Physics
Japan Society for the Promotion of Science: Grants-in-Aid for Scientific Research
YAJIMA Kenji FUJIWARA Daisuke NAKAMURA Shu MIZUTANI Akira WATANABE Kazuo SHIMOMURA Akihiro 
Project Year: 2006 - 2009
 
Research on Spectra of Random Schrodinger Operators
Japan Society for the Promotion of Science: Grants-in-Aid for Scientific Research
UEKI Naomasa MINAMI Nariyuki NAKAMURA Shu SHIGEKAWA Ichiro KOTANI Shinichi 
Project Year: 2006 - 2007
 
Multi-wavelet frames and applications to harmonic analysis
Japan Society for the Promotion of Science: Grants-in-Aid for Scientific Research
ARAI Hitoshi NAKAMURA Shu YOSHIDA Nakahiro KANJIN Yuichi TACHIZAWA Kazuya 
Project Year: 2004 - 2006
 
Mathematical Analysis of Quantum Physics
Japan Society for the Promotion of Science: Grants-in-Aid for Scientific Research
YAJIMA Kenji NAKAMURA Shu FUJIWARA Daisuke MIZUTANI Akira WATANABE Kazuo SHIIMOMURA Akihiro 
Project Year: 2002 - 2005