Zobrazeno 1 - 10
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pro vyhledávání: '"Ichinose, Takashi"'
Autor:
Exner, Pavel, Ichinose, Takashi
Given a nonnegative self-adjoint operator $H$ acting on a separable Hilbert space and an orthogonal projection $P$ such that $H_P := (H^{1/2}P)^*(H^{1/2}P)$ is densely defined, we prove that $\lim_{n\rightarrow \infty} (P\,\mathrm{e}^{-itH/n}P)^n = \
Externí odkaz:
http://arxiv.org/abs/2012.15061
Autor:
Ichinose, Takashi
Publikováno v:
RIMS K\^oky\^uroku 1958, Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan, July 2015, pp.117--142
Three magnetic relativistic Schr\"odinger operators are considered, corresponding to the classical relativistic Hamiltonian symbol with both magnetic vector and electric scalar potentials. Path integral representations for the solutions of their resp
Externí odkaz:
http://arxiv.org/abs/1612.09464
Kato's inequality is shown for the magnetic relativistic Schr\"odinger operator $H_{A,m}$ defined as the operator theoretical {\it square root} of the selfadjoint, magnetic nonrelativistic Schr\"odinger operator $(-i\nabla-A(x))^2+m^2$ with an $L^{2}
Externí odkaz:
http://arxiv.org/abs/1604.03933
Autor:
Ichinose, Takashi, Kato, Masaharu, Matsuzaki, Kentaro, Tanabe, Yoko, Tachibana, Nobuhiko, Morikawa, Miwako, Kato, Setsushi, Ohata, Shuuzo, Ohno, Miho, Wakatsuki, Harumi, Hossain, Shahdat, Shido, Osamu, Hashimoto, Michio
Publikováno v:
In Journal of Functional Foods November 2020 74
Autor:
Ichinose, Takashi, Saitō, Yoshimi
The aim of this paper is to give an extension of the improved Sobolev embedding theorem for single-valued functions to the case of vector-valued functions which is involved with the three-dimensional massless Dirac operator together with the three- o
Externí odkaz:
http://arxiv.org/abs/1403.7580
Autor:
Ichinose, Takashi, Murayama, Taro
Publikováno v:
Proc. Japan Acad. {\bf 90}, Ser A (2014), pp. 60--65
It is shown that mass-parameter-dependent solutions of the imaginary-time magnetic relativitstic Schr\"odinger equations converge as functionals of L\'evy processes represented by stochastic integrals of stationary Poisson point processes if mass-par
Externí odkaz:
http://arxiv.org/abs/1403.7271
Autor:
Ichinose, Takashi
Publikováno v:
Mathematical Physics, Spectral Theory and Stochastic Analysis, Operator Theory: Advances and Applications 232, pp. 247--297, Springer/Birkha\"user 2013
Three magnetic relativistic Schr\"odinger operators corresponding to the classical relativistic Hamiltonian symbol with magnetic vector and electric scalar potentials are considered, dependent on how to quantize the kinetic energy term $\sqrt{(\xi-A(
Externí odkaz:
http://arxiv.org/abs/1403.5889
Publikováno v:
The paper is published from Publ RIMS Kyoto 2012
A Feynman-Kac type formula of relativistic Schr\"odinger operators with unbounded vector potential and spin 1/2 is given in terms of a three-component process consisting of Brownian motion, a Poisson process and a subordinator. This formula is obtain
Externí odkaz:
http://arxiv.org/abs/1109.5829
Autor:
Ichinose, Takashi, Saitō, Yoshimi
The aim of this work is to study the first order Dirac-Sobolev spaces in $L^p$ norm on an open subset of ${\mathbb R}^3$ to clarify its relationship with the corresponding Sobolev spaces. It is shown that for $1< p <\infty$, they coincide, while for
Externí odkaz:
http://arxiv.org/abs/1001.0275
Path integral representations for generalized Schr\"odinger operators obtained under a class of Bernstein functions of the Laplacian are established. The one-to-one correspondence of Bernstein functions with L\'evy subordinators is used, thereby the
Externí odkaz:
http://arxiv.org/abs/0906.0103