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ICHINOSE WATARU

Academic OrganizationTEL
Education and Research OrganizationFaculty of Science Department of MathematicsFAX
PositionProfessor Professor EmeritusMail Address
AddressWeb site

Modified:08/01/2019

Profile

Academic Background
Graduate School
Osaka University , (Graduate School, Division of Natural Science) , 1981
Osaka University , (Graduate School, Division of Natural Science) , 1978

College
Kyoto University , (Faculty of Science) , 1976

Degree
Doctor of Science , Osaka University

Research

Books, Articles, etc.
Articles
On the Feynman path integral for the magnetic Schroedinger equation with a polynomially growing electromagnetic potential
Review in Mathematical Physics,31(1) 2020
Author:W. Ichinose
Keywords:Feynman path integral; Schroedinger equation; polynomially growing potential.


Notes on the Cauchy problem for the self-adjoint and non-self-adjoint Schr¥"odinger equations with polynomially growing potentials
J. Pseudo-Differ. Oper. Appl. to appear 2019
Author:Wataru Ichinose, Takayoshi Aoki


Feynman 経路積分の数学的結果, 特集「経路積分を考える - その変遷と基礎物理の発展」
数理科学,(2月号):60 - 68 2019
Author:Wataru Ichinose


On the Feynman path integral for the Schr¥"dinger equations with polynomially growing potentials in the spatial direction,
第57回実函数論・函数解析合同シンポジウム講演集,:108-118 2019
Author:W. Ichinose


Feynman経路積分による量子連続測定の数学理論ー位置とスピンの測定
第38回電子情報通信学会・量子技術研究会,:83 - 85 2018
Author:W. Ichinose
Keywords:Feynman path integral, spin, quantum measurements


Notes on the Feynman path integral for the Dirac equation
J. Pseudo-Differ. Oper. Apple. 2017
Author:Wataru Ichinose
Keywords:Feynman path integral, Dirac equation


On the construction of the Feynman path integral for the Dirac equation
Suuriken Kokyuroku, Workshop on Path Integrals and Pseudo-Differential Operators,1958:63-80 2015
Author:Wataru Ichinose


On the Feyman path integral for the Dirac equation in the general dimensional space time
Commu. Math. Phys.,329(2):483-508 2014
Author:Wataru Ichinose


On the uniqueness of the polar decomposition of bounded operators in Hilbert spaces.
Journal of Operator Theory,70(1):101-106 2013
Author:Wataru Ichinose, Kanako Iwashita


The continuity and the differentiability of solutions on parameters to the Schroedinger equations and the Dirac equations
J. Pseudo-differ. Oper.Appl.,3:399-419 2012
Author:Wataru Ichinose


The continuity of solutions with respect to a parameter to symmetric hyperbolic systems
the London volume"Pseudo-Differential Operators: Analysis, Applications and Computations".,213:219-234 2011
Author:Wataru Ichinose


On the Feynman paht integral for nonrelativistic quantum electrodynamics
Review in Math. Phys.,22(5):549-596 2010
Author:Wataru Ichinose


On the continuity of the solutions with respect to the Shroedinger and the Dirac equations
Progress in Analysis, the proceedings of the 7rd ISAAC congress 2010
Author:Wataru Ichinose


A mathematical theory of the Feynman path integral for the generalized Pauli equations
J. Math. Soc. Japan,59:649-668 2007
Author:Wataru Ichinose


A mathematical note on the Feynman path integral for the quantum electro dynamics
京都大学数理解析研究所講究録 2007
Author:Wataru Ichinose


L^2 stability and boundedness of the Fourier integral operators applied to the theory of the Feynman path integral
Progress in Analysis, the proceedings of the 5th ISAAC congress,2 2007
Author:Wataru Ichinose


A mathematical theory of the Feynman path integral for the generalized Pauli equations
J. Math. Soc. Japan,59(2) 2007
Author:Wataru Ichinose


A Mathematical Theory of the Phase Space Feynman Path Integral of the Functional
Commun. Math. Phys.,265:739-779 2006
Author:Wataru Ichinose


On the functional derivatives of the generating functional for correkation functions
京都大学数理解析研究所講究録,(1479):130-141 2006
Author:Wataru Ichinose


A Mathematical Theory of the Phase Space Feynman Path Integral of the Functional
Communications in Mathematical Physics,265(3):739 - 779 2006
Author:W. Ichinose


The convergence of the Feynman path integrals in the weighted Sobolev spaces and its application
Progress in Analysis, the proceedings of the 3rd ISAAC congress,2:1081-1085 2003
Author:Wataru Ichinose


Convergence of the Feynman path integral in the weighted Sobolev spaces and the representation of correlation functions
J. Math. Soc. Japan,55(4):957-983 2003
Author:Wataru Ichinose


On convergence of the Feynman path integral in phase space
Osaka Journal of Mathematics,39:17-33 2002(Jan.)
Author:Wataru Ichinose


On convergence of the Feynman path integral in phase space
Osaka J. Math.,39(1):181-208 2002
Author:Wataru Ichinose


The Feynman path integral representation of Green functions of position and momentum operators
京都大学数理解析研究所講究録,京都大学数理解析研究所講究録(1208):170-182 2001(Jun.)
Author:Wataru Ichinose


Thephase space feynman path integral with gauge invariance and its convergence
REVIEWS IN MATHEMATICAL PHYSICS,12(11):1451-1463 2000
Author:Wataru Ichinose


On convergence of the Feynman path integral formulated through broken line paths
REVIEWS IN MATHEMATICAL PHYSICS,11(8):1001-1025 1999
Author:Wataru Ichinose


On the convergence of the Feynman path integral defined through broken line paths
京都大学数理解析研究所講究録,(994):65-71 1997(May)
Author:Wataru Ichinose


On the formulation of the Feynman path integral through broken line paths
Comm. in Math. Phys.,189(1):17-33 1997
Author:Wataru Ichinose


On the semi-classical approximation of the solution of the Heisenberg equation with spin
Ann. Inst. Henri Poincare, Phys. Theor.,67(1):59-76 1997
Author:Wataru Ichiose


A note on the existence of unitary propagator of equations in quantum mechanics
京都大学数理解析研究所講究録,(905):6-14 1995(Apr.)
Author:Wataru Ichinose


A note on the existence and h-dependency of the solution of equations in quantum mechanics
Osaka J. Math.,32(2):327-345 1995
Author:Wataru Ichinose


On the essential self-adjointness of the relativistic hamiltonian with a negative scalar potential
Rev. Math. Phys.,7(5):709-722 1995
Author:Wataru Ichinose, Takashi Ichinose


On the essential self-adjointness of the relativistic hamiltonian of a spinless particle
京都大学数理解析研究所講究録,(873):25-33 1994(May)
Author:Wataru Ichinose


On essential self-adjointness of the relativistic hamiltonian of a spinless particle in a negative scalar potential
Annales de l’Institut Henri Poincar\’e-Physique th\’eorique,60(5):241-252 1994
Author:Wataru Ichinose


On a necessary condition for $L^2$ well-posedness of the Cauchy problem for some Schr\"odinger type equations with a potential term
Journal of Mathematics of Kyoto University,33:647-663 1993(Oct.)
Author:Wataru Ichinose


On the Cauchy problem for Schr\"odinger type equations and Fourier integral operators
Journal of Mathematics of Kyoto University,33:583-620 1993(Oct.)
Author:Wataru Ichinose


A note on the essential selfadjointness of the relativistic Hamiltonian with a negative potential
偏微分方程式阪大セミナー報告集,:32-34 1993(Feb.)
Author:Wataru Ichinose


A note on the Cauchy problem for Schr\"odinger type equations on the Riemannian manifold
Mathematica Japonica,35:205-213 1990(Jan.)
Author:Wataru Ichinose


On $L^2$ well posedness of the Cauchy problem for Schr\”odinger type equations
Duke Mathematical Journal,56:549-588 1988(Jun.)
Author:Wataru Ichinose


The Cauchy problem for Schr\"odinger type equations with variable coefficients
Osaka Journal of Mathematics,24:853-886 1987(Dec.)
Author:Wataru Ichinose


Some remarks on the Cauchy problem for Schr\”odinger type equations
Osaka Journal of Mathematics,21:565-581 1984(Dec.)
Author:Wataru Ichinose


On H_{\infty} well posedness of the Cauchy problem for Schr\”odinger type equations
京都大学数理解析研究所講究録,(531):86-103 1984(Jul.)
Author:Wataru Ichinose


Sufficient condition on H_{\infty} well posedness for Schr\”odinger type equations
Communication in Partial Differential Equations,9:33-48 1984(Jan.)
Author:Wataru Ichinose


Propagation of singularities for a hyperbolic system with double characteristics
OsakaJournal of Mathematics,19:171-187 1982(Feb.)
Author:Wataru Ichinose


On the propagation of singularities with infinitely many branching points for a hyperbolic equation of second order
Communication in Partial Differential Equations,6:569-623 1981(May)
Author:Ichinose W.&Kumano-go, H.


Propagation of singularities for a hyperbolic equation with non-regular characteristic roots
Osaka Journal of Mathematics,17:703-749 1980(Oct.)
Author:W. Ichinose,H.Kumanogo


On the propagation of singularities for a hyperbolic system with double characteristic roots
京都大学数理解析研究所講究録,(376):60-70 1980(Feb.)

Research Grants
Grants‐in‐aid for Scientific Research(Research Representative)
2018 - 2020 , Feynman経路積分の数学的研究とその量子電磁力学・量子情報理論への応用
2016 - 2016 , 振動型積分作用素理論とそれの量子場のFeynman経路積分への応用
2014 - 2016 , 振動型積分作用素理論とそれの量子場のFeynman経路積分への応用 , 基盤研究(C)
2013 - 2013 , 振動型積分作用素理論とそれの場のFeynman経路積分への応用 , 基盤研究(C)
2012 - 2012 , 振動型積分作用素理論とそれの場のFeynman経路積分への応用 , 基盤研究(C)
2011 - 2011 , 振動型積分作用素理論とそれの場のFeynman経路積分への応用 , 基盤研究(C)
2009 - 2009 , 振動型積分作用素理論とそのFeynman経路積分への応用 , 基盤研究(C)
2008 - 2009 , 振動型積分作用素理論とそのFeynman経路積分への応用 , 基盤研究(C)
2004 - 2006 , 擬微分作用素理論のFeynman経路積分への応用 , 基盤研究(C)
2001 - 2004 , 擬微分作用素理論のFeynman経路積分への応用

Other Research Grants
2017 - 2017 , Feynman経路積分による量子電磁力学の数学的展開
2010 - 2010 , 振動型積分作用素理論とそのFeynman経路積分への応用
2010 - 2010 , 振動型積分作用素理論とそのFeynman経路積分への応用