Let be the spacetime, where is a closed manifold
equipped with a Riemannian metric , and we consider a symmetric Klein-Gordon
type operator on , which is asymptotically converges to
a...
Here we discuss a new simplified proof of the essential self-adjointness for
formally self-adjoint differential operators of real principal type, previously
proved by Vasy (2020) and Nakamura-Taira (2021). For simplicity, here we
discuss the secon...
Pavel Exner   Shu Nakamura   Yukihide Tadano   
Feb 2022
We consider the quantum graph Hamiltonian on the square lattice in Euclidean
space, and we show that the spectrum of the Hamiltonian converges to the
corresponding Schrödinger operator on the Euclidean space in the continuum
limit, and that the ...
We propose a method of data quantization of finite discrete-time signals
which optimizes the error estimate of low frequency Haar coefficients. We also
discuss the error/noise bounds of this quantization in the Fourier space. Our
result shows one ...
We consider scattering matrix for Schr\"odinger-type operators on with<br />
perturbation as . We show that<br />
the scattering matrix (with time-independent modifiers) is a pseudodifferent...
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