We show that the scattering matrix for a class of Schr\"odinger-type<br />
operators with long-range perturbations is a Fourier integral operator with the<br />
phase function which is the generating function of the modified classical<br />
s...
Operator Theory: Advances and Applications 268 89-110 2018
For the pair ˆ’Δ, ˆ’Δ ˆ’αδC of self-adjoint Schröodinger operators in L2(ℝn) a spectral shift function is determined in an explicit form with the help of (energy parameter dependent) Dirichlet-to-Neumann maps. Here δC denotes a singular δ-potentia...
The spectral shift function of a pair of self-adjoint operators is expressed<br />
via an abstract operator valued Titchmarsh--Weyl -function. This general<br />
result is applied to different self-adjoint realizations of second-order<br />
ell...
Let be a Schr\"odinger type operator with long-range perturbation. We<br />
study the wave front set of the distribution kernel of , where is in the absolutely continous spectrumof .The<br />
res...
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
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
Graduate School of Humanities