Arai, Asao; Dagva, Dayantsolmon A class of \(d\)-dimensional Dirac operators with a variable mass. (English) Zbl 1286.81077 ISRN Math. Anal. 2013, Article ID 913413, 13 p. (2013). MSC: 81Q10 PDFBibTeX XMLCite \textit{A. Arai} and \textit{D. Dagva}, ISRN Math. Anal. 2013, Article ID 913413, 13 p. (2013; Zbl 1286.81077) Full Text: DOI
Arai, Asao Heisenberg operators, invariant domains and Heisenberg equations of motion. (English) Zbl 1205.81083 Rev. Math. Phys. 19, No. 10, 1045-1069 (2007). MSC: 81Q10 81S05 47N50 PDFBibTeX XMLCite \textit{A. Arai}, Rev. Math. Phys. 19, No. 10, 1045--1069 (2007; Zbl 1205.81083) Full Text: DOI
Arai, Asao Strong anticommutativity of Dirac operators on boson-fermion Fock spaces and representations of a supersymmetry algebra. (English) Zbl 1160.81380 Math. Nachr. 207, 61-77 (1999). MSC: 81Q10 47N50 81T40 PDFBibTeX XMLCite \textit{A. Arai}, Math. Nachr. 207, 61--77 (1999; Zbl 1160.81380) Full Text: DOI
El Gradechi, Amine M. On the super-unitarity of discrete series representations of orthosymplectic Lie superalgebras. (English) Zbl 1015.17003 Rev. Math. Phys. 10, No. 4, 467-497 (1998). MSC: 17B10 47B25 81R05 PDFBibTeX XMLCite \textit{A. M. El Gradechi}, Rev. Math. Phys. 10, No. 4, 467--497 (1998; Zbl 1015.17003) Full Text: DOI
Jørgensen, Palle E. T.; Ólafsson, Gestur Unitary representations of Lie groups with reflection symmetry. (English) Zbl 0911.22012 J. Funct. Anal. 158, No. 1, 26-88 (1998). Reviewer: R.Felix (Eichstätt) MSC: 22E46 22E30 22E27 43A17 43A65 PDFBibTeX XMLCite \textit{P. E. T. Jørgensen} and \textit{G. Ólafsson}, J. Funct. Anal. 158, No. 1, 26--88 (1998; Zbl 0911.22012) Full Text: DOI arXiv
Arai, Asao Operator-theoretical analysis of a representation of a supersymmetry algebra in Hilbert space. (English) Zbl 0836.46069 J. Math. Phys. 36, No. 2, 613-621 (1995). MSC: 46N50 81T60 PDFBibTeX XMLCite \textit{A. Arai}, J. Math. Phys. 36, No. 2, 613--621 (1995; Zbl 0836.46069) Full Text: DOI
Arai, Asao Scaling limit of anticommuting selfadjoint operators and applications to Dirac operators. (English) Zbl 0823.47026 Integral Equations Oper. Theory 21, No. 2, 139-173 (1995). MSC: 47B25 47N50 PDFBibTeX XMLCite \textit{A. Arai}, Integral Equations Oper. Theory 21, No. 2, 139--173 (1995; Zbl 0823.47026) Full Text: DOI
Arai, Asao Characterization of anticommutativity of self-adjoint operators in connection with Clifford algebra and applications. (English) Zbl 0810.47019 Integral Equations Oper. Theory 17, No. 4, 451-463 (1993). MSC: 47B25 47N50 81Q10 15A66 PDFBibTeX XMLCite \textit{A. Arai}, Integral Equations Oper. Theory 17, No. 4, 451--463 (1993; Zbl 0810.47019) Full Text: DOI
Arai, Asao Dirac operators in Boson-Fermion Fock spaces and supersymmetric quantum field theory. (English) Zbl 0807.46086 J. Geom. Phys. 11, 465-490 (1993). Reviewer: V.Zagrebnov (Marseille) MSC: 46N50 81T60 PDFBibTeX XMLCite \textit{A. Arai}, J. Geom. Phys. 11, 465--490 (1993; Zbl 0807.46086) Full Text: DOI
Arai, Asao Properties of the Dirac-Weyl operator with a strongly singular gauge potential. (English) Zbl 0809.47057 J. Math. Phys. 34, No. 3, 915-935 (1993). MSC: 47N50 81V10 47F05 PDFBibTeX XMLCite \textit{A. Arai}, J. Math. Phys. 34, No. 3, 915--935 (1993; Zbl 0809.47057) Full Text: DOI
Arai, Asao Commutation properties of anticommuting self-adjoint operators, spin representation and Dirac operators. (English) Zbl 0793.47020 Integral Equations Oper. Theory 16, No. 1, 38-63 (1993). MSC: 47B25 47N50 47B47 81S05 PDFBibTeX XMLCite \textit{A. Arai}, Integral Equations Oper. Theory 16, No. 1, 38--63 (1993; Zbl 0793.47020) Full Text: DOI