Researcher Information

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 トップページ ＞ 理学部＞ 数学科

中村 周

研究者氏名 中村 周 ナカムラ シュウ http://pc1.math.gakushuin.ac.jp/~shu/ 学習院大学 理学部数学科 教授 理学博士(東京大学) 50183520

研究分野

• 自然科学一般 / 基礎解析学 / 関数解析、関数方程式

論文

Behrndt Jussi, Gesztesy Fritz, Nakamura Shu
MATHEMATISCHE ANNALEN   371(3-4) 1255-1300   2018年8月   [査読有り]
Takuro Matsuta, Tohru Koma, Shu Nakamura
ANNALES HENRI POINCARE   18(2) 519-528   2017年2月   [査読有り]
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 velocity of information propagation grows by power law in time for such ...

J. Math. Sci. Univ. Tokyo   24 239-257   2017年   [査読有り]
Shu Nakamura
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS   41(6) 894-912   2016年   [査読有り]
We consider the scattering theory for a pair of operators H-0 and H=H-0+V on L-2(M, m), where M is a Riemannian manifold, H-0 is a multiplication operator on M, and V is a pseudodifferential operator of order - , &gt;1. We show that a time-depende...
Shu Nakamura
JOURNAL OF MATHEMATICAL PHYSICS   55(11)    2014年11月   [査読有り]
We consider the scattering theory for discrete Schrodinger operators on Z(d) with long-range potentials. We prove the existence of modified wave operators constructed in terms of solutions of a Hamilton-Jacobi equation on the torus T-d. (C) 2014 A...

MISC

Shu Nakamura
2014年7月
We consider scattering theory for a pair of operators and on<br />
, where is a Riemannian manifold, is a multiplication<br />
operator on and is a pseudodifferential operator of order ,<br />
\$\mu...
Shu Nakamura
2014年3月
We consider the scattering theory for discrete Schr\&quot;odinger operators on<br />
with long-range potentials. We prove the existence of modified wave<br />
operators constructed in terms of solutions of a Hamilton-Jacobi equation on<br />...
Kazuki Horie, Shu Nakamura
50(3) 477-496   2014年
In a previous paper by the second author, we discussed a characterization of<br />
the microlocal singularities for solutions to Schr\&quot;odinger equations with long<br />
range type perturbations, using solutions to a Hamilton-Jacobi equation. ...
Shu Nakamura
2013年5月
On this short note, we apply the Mourre theory of the limiting absorption<br />
with {\it difference} type conditions on the potential, instead of conditions<br />
on the derivatives. In order that we modify the definition of the conjugate<br />
o...
Shu Nakamura, Alexander Pushnitski
2012年2月
The object of study in this paper is the on-shell scattering matrix of<br />
the Schr\&quot;odinger operator with the potential satisfying assumptions typical in<br />
the theory of shape resonances. We study the spectrum of in the<b...