論文 On the mathematical formulation of the restricted Feynman path integrals through broken line paths Osaka Journal of Mathematics(arXiv:2006.02710) 2023 Author:Wataru Ichinose
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.,11(2):703-731 2020 Author:Wataru Ichinose, Takayoshi Aoki
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.
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
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.)
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