Edit Profile (opens in new tab) Arai, Asao Co-Author Distance Author ID: arai.asao Published as: Arai, Asao; Arai, A. External Links: ResearchGate · Math-Net.Ru Documents Indexed: 110 Publications since 1981, including 4 Books 2 Contributions as Editor Co-Authors: 18 Co-Authors with 20 Joint Publications 134 Co-Co-Authors all top 5 Co-Authors 92 single-authored 6 Hirokawa, Masao 4 Hiroshima, Fumio 2 Hayashi, Kunimitsu 2 Matsuzawa, Yasumichi 2 Mitoma, Itaru 2 Ojima, Izumi 1 Arafune, J. 1 Dagva, Dayantsolmon 1 Fuda, Toru 1 Funakawa, Daiju 1 Kawano, Hiroyuki 1 Kobayashi, Makoto 1 Nakamura, Koichi 1 Nakamura, Toru 1 Sasaki, Itaru 1 Tominaga, Norio 1 Tonomura, Akira 1 Watanabe, Keiji all top 5 Serials 19 Journal of Mathematical Physics 11 Reviews in Mathematical Physics 9 Journal of Mathematical Analysis and Applications 9 Letters in Mathematical Physics 8 Journal of Functional Analysis 5 RIMS Kokyuroku 3 Hokkaido Mathematical Journal 3 Integral Equations and Operator Theory 3 Annales Henri Poincaré 2 Journal of Physics A: Mathematical and General 2 Journal of Nonlinear Mathematical Physics 2 RIMS Kôkyûroku Bessatsu 2 Journal of Mathematics 1 Reports on Mathematical Physics 1 Journal of Geometry and Physics 1 Kodai Mathematical Journal 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Proceedings of the Japan Academy. Series A 1 Acta Applicandae Mathematicae 1 Sugaku Expositions 1 Kyushu Journal of Mathematics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Mathematical Physics Studies 1 Advances in Mathematical Physics 1 ISRN Mathematical Analysis 1 MI Lecture Note 1 SpringerBriefs in Mathematical Physics all top 5 Fields 101 Quantum theory (81-XX) 62 Operator theory (47-XX) 25 Functional analysis (46-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Partial differential equations (35-XX) 5 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 2 Number theory (11-XX) 2 Ordinary differential equations (34-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 85 Publications have been cited 829 times in 412 Documents Cited by ▼ Year ▼ On the existence and uniqueness of ground states of a generalized spin-boson model. Zbl 0898.47048 Arai, Asao; Hirokawa, Masao 70 1997 Exactly solvable supersymmetric quantum mechanics. Zbl 0731.47055 Arai, Asao 64 1991 On a model of a harmonic oscillator coupled to a quantized, massless, scalar field. I. Zbl 0473.46050 Arai, Asao 36 1981 Rigorous theory of spectra and radiation for a model in quantum electrodynamics. Zbl 0944.81055 Arai, Asao 32 1983 Exact solutions of multi-component nonlinear Schrödinger and Klein-Gordon equations in two-dimensional space-time. Zbl 0981.35080 Arai, Asao 30 2001 On the absence of eigenvectors of Hamiltonians in a class of massless quantum field models without infrared cutoff. Zbl 0997.47061 Arai, Asao; Hirokawa, Masao; Hiroshima, Fumio 30 1999 Analysis on Fock spaces and mathematical theory of quantum fields. An introduction to mathematical analysis of quantum fields. Zbl 1401.81001 Arai, Asao 29 2018 An asymptotic analysis and its application to the nonrelativistic limit of the Pauli-Fierz and a spin-boson model. Zbl 0734.47046 Arai, Asao 27 1990 Ground state of the massless Nelson model without infrared cutoff in a non-Fock representation. Zbl 1029.81021 Arai, Asao 27 2001 A general class of infinite dimensional Dirac operators and path integral representation of their index. Zbl 0803.46082 Arai, Asao 21 1992 A note on scattering theory in non-relativistic quantum electrodynamics. Zbl 0515.46073 Arai, Asao 21 1983 Ground states of a general class of quantum field Hamiltonians. Zbl 0983.81016 Arai, Asao; Hirokawa, Masao 20 2000 Generalized weak Weyl relation and decay of quantum dynamics. Zbl 1111.81053 Arai, Asao 19 2005 De Rham-Hodge-Kodaira decomposition in \(\infty\)-dimensions. Zbl 0762.58004 Arai, Asao; Mitoma, Itaru 19 1991 Supersymmetry and singular perturbations. Zbl 0553.46047 Arai, Asao 16 1985 Essential spectrum of a self-adjoint operator on an abstract Hilbert space of Fock type and applications to quantum field Hamiltonians. Zbl 0965.47015 Arai, Asao 16 2000 A particle-field Hamiltonian in relativistic quantum electrodynamics. Zbl 0973.81137 Arai, Asao 15 2000 Spectral analysis of a quantum harmonic oscillator coupled to infinitely many scalar bosons. Zbl 0667.46049 Arai, Asao 15 1989 Self-adjointness and spectrum of Hamiltonians in nonrelativistic quantum electrodynamics. Zbl 0468.47030 Arai, Asao 14 1981 Properties of the Dirac-Weyl operator with a strongly singular gauge potential. Zbl 0809.47057 Arai, Asao 14 1993 On a model of a harmonic oscillator coupled to a quantized, massless, scalar field. II. Zbl 0473.46051 Arai, Asao 13 1981 Momentum operators with gauge potentials, local quantization of magnetic flux, and representation of canonical commutation relations. Zbl 0787.47040 Arai, Asao 12 1992 Path integral representation of the index of Kähler-Dirac operators on an infinite dimensional manifold. Zbl 0684.58010 Arai, Asao 12 1989 Perturbation of embedded eigenvalues: A general class of exactly soluble models in Fock spaces. Zbl 0713.47010 Arai, Asao 11 1990 Existence of infinitely many zero-energy states in a model of supersymmetric quantum mechanics. Zbl 0669.46039 Arai, Asao 10 1989 Time operators of a Hamiltonian with purely discrete spectrum. Zbl 1155.81321 Arai, Asao; Matsuzawa, Yasumichi 10 2008 Necessary and sufficient conditions for a Hamiltonian with discrete eigenvalues to have time operators. Zbl 1161.81356 Arai, Asao 10 2009 Spectrum of time operators. Zbl 1117.81054 Arai, Asao 9 2007 Trace formulas, a Golden-Thompson inequality and classical limit in boson Fock space. Zbl 0894.47059 Arai, Asao 9 1996 Dirac operators in Boson-Fermion Fock spaces and supersymmetric quantum field theory. Zbl 0807.46086 Arai, Asao 9 1993 Supersymmetric embedding of a model of a quantum harmonic oscillator interacting with infinitely many bosons. Zbl 0674.58042 Arai, Asao 9 1989 Representation-theoretic aspects of two-dimensional quantum systems in singular vector potentials: Canonical commutation relations, quantum algebras, and reduction to lattice quantum systems. Zbl 1007.46063 Arai, Asao 8 1998 Enhanced binding in a general class of quantum field models. Zbl 1081.81541 Arai, Asao; Kawano, Hiroyuki 8 2003 A new asymptotic perturbation theory with applications to models of massless quantum fields. Zbl 1347.81062 Arai, Asao 8 2014 Non-relativistic limit of a Dirac-Maxwell operator in relativistic quantum electrodynamics. Zbl 1081.81114 Arai, Asao 7 2003 On the degeneracy in the ground state of the \(N=2\) Wess-Zumino supersymmetric quantum mechanics. Zbl 0701.46056 Arai, Asao 7 1989 A theorem on essential self-adjointness with application to Hamiltonians in nonrelativistic quantum field theory. Zbl 0753.47004 Arai, Asao 6 1991 Commutation properties of anticommuting self-adjoint operators, spin representation and Dirac operators. Zbl 0793.47020 Arai, Asao 6 1993 Characterization of anticommutativity of self-adjoint operators in connection with Clifford algebra and applications. Zbl 0810.47019 Arai, Asao 6 1993 Gauge theory on a non-simply connected domain and representations of canonical commutation relations. Zbl 0879.46037 Arai, Asao 6 1995 Construction of a Weyl representation from a weak Weyl representation of the canonical commutation relation. Zbl 1161.81357 Arai, Asao; Matsuzawa, Yasumichi 6 2008 Noninvertible Bogoliubov transformations and instability of embedded eigenvalues. Zbl 0741.47016 Arai, Asao 5 1991 Non-relativistic limit of a Dirac polaron in relativistic quantum electrodynamics. Zbl 1160.81484 Arai, Asao 5 2006 Supersymmetric extension of quantum scalar field theories. Zbl 0859.58003 Arai, Asao 5 1993 On the uniqueness of weak Weyl representations of the canonical commutation relation. Zbl 1162.81017 Arai, Asao 5 2008 Canonical commutation relations, the Weierstrass zeta function, and infinite dimensional Hilbert space representations of the quantum group \(U_q(\mathfrak{sl}_2)\). Zbl 0897.47054 Arai, Asao 4 1996 Heisenberg operators, invariant domains and Heisenberg equations of motion. Zbl 1205.81083 Arai, Asao 4 2007 Ultra-weak time operators of Schrödinger operators. Zbl 1404.81088 Arai, Asao; Hiroshima, Fumio 4 2017 On self-adjointness of Dirac operators in Boson-Fermion Fock spaces. Zbl 0807.47057 Arai, Asao 3 1994 Analysis on anticommuting self-adjoint operators. Zbl 0816.47021 Arai, Asao 3 1994 Regularities of ground states of quantum field models. Zbl 1210.81070 Arai, Asao; Hirokawa, Masao; Hiroshima, Fumio 3 2007 A general class of (essentially) iso-spectral perturbations. Zbl 0702.47006 Arai, Asao 3 1990 A garden of quanta. Essays in honor of Hiroshi Ezawa. Zbl 1024.00019 3 2003 Inequivalent representations of canonical commutation and anti-commutation relations. Representation-theoretical viewpoint for quantum phenomena. Zbl 1450.81001 Arai, Asao 3 2020 Comparison and nuclearity of spaces of differential forms on topological vector spaces. Zbl 0788.46049 Arai, Asao; Mitoma, Itaru 3 1993 Some aspects of time operators. Zbl 1280.81052 Arai, Asao 3 2008 Scaling limit of anticommuting selfadjoint operators and applications to Dirac operators. Zbl 0823.47026 Arai, Asao 3 1995 Representation of canonical commutation relations in a gauge theory, the Aharonov-Bohm effect, and the Dirac-Weyl operator. Zbl 0936.35143 Arai, A. 3 1995 Spectral analysis of a Dirac operator with a meromorphic potential. Zbl 1068.47054 Arai, Asao; Hayashi, Kunimitsu 2 2005 Stability of ground states in sectors and its application to the Wigner-Weisskopf model. Zbl 1035.81018 Arai, Asao; Hirokawa, Masao 2 2001 Formal aspects of supersymmetric embedding of Hamiltonians in quantum scalar field theories. Zbl 0649.58051 Arai, Asao 2 1988 Infinite-dimensional analysis and analytic number theory. Zbl 1116.81320 Arai, Asao 2 2000 Mathematical theory of quantum particles interacting with a quantum field. Zbl 1046.81062 Arai, Asao 2 2002 An abstract sum formula and its applications to special functions. Zbl 0772.47006 Arai, Asao 2 1992 A class of representations of the \(*\)-algebra of the canonical commutation relations over a Hilbert space and instability of embedded eigenvalues in quantum field models. Zbl 0991.81051 Arai, Asao 2 1997 Some mathematical aspects of quantum Zeno effect. Zbl 1250.81017 Arai, Asao; Fuda, Toru 2 2012 On dimensional reduction of functional measures. Zbl 0644.28011 Arai, Asao 2 1988 Heisenberg operators of a Dirac particle interacting with the quantum radiation field. Zbl 1219.81092 Arai, Asao 2 2011 Infinite-dimensional Dirac operators and supersymmetric quantum fields. An introduction to analysis on Boson-Fermion Fock spaces. Zbl 1519.81007 Arai, Asao 2 2022 A new estimate for the groundstate energy of Schrödinger operators. Zbl 0890.47040 Arai, Asao 1 1997 Analysis of a family of strongly commuting self-adjoint operators with applications to perturbed d’Alembertians and the external field problem in quantum field theory. Zbl 0854.47037 Arai, Asao; Tominaga, Norio 1 1996 On the spin-boson model. Zbl 0899.47048 Arai, Asao; Hirokawa, Masao 1 1996 On the existence of solution to Schwinger’s functional differential equations of higher order. Zbl 0528.35084 Arai, Asao 1 1983 Mathematical analysis of a model in relativistic quantum electrodynamics. Zbl 0958.81519 Arai, Asao 1 2000 A general class of infinite dimensional Dirac operators and related aspects. Zbl 0799.58005 Arai, Asao 1 1991 Spectral properties of a Dirac operator in the chiral quark soliton model. Zbl 1110.81073 Arai, Asao; Hayashi, Kunimitsu; Sasaki, Itaru 1 2005 Supersymmetric quantum field theory and infinite-dimensional analysis. Zbl 0864.58062 Arai, Asao 1 1996 Operator-theoretical analysis of a representation of a supersymmetry algebra in Hilbert space. Zbl 0836.46069 Arai, Asao 1 1995 Mathematical analysis of a generalized chiral quark soliton model. Zbl 1093.81059 Arai, Asao 1 2006 Long-time behavior of two-point functions of a quantum harmonic oscillator interacting with bosons. Zbl 0685.46049 Arai, Asao 1 1989 Representations of quantum phase spaces with infinite degrees of freedom. Zbl 1218.81073 Arai, Asao 1 2011 Spectral analysis of an effective Hamiltonian in nonrelativistic quantum electrodynamics. Zbl 1211.81057 Arai, Asao 1 2011 A family of inequivalent Weyl representations of canonical commutation relations with applications to quantum field theory. Zbl 1342.81624 Arai, Asao 1 2016 A criterion for the boundedness from below with a class of symmetric operators and its applications. Zbl 0701.47009 Arai, Asao 1 1990 Mathematical analysis of quantum fields – historical survey and a new asymptotic perturbation theory. Zbl 1468.81068 Arai, Asao 1 2021 Infinite-dimensional Dirac operators and supersymmetric quantum fields. An introduction to analysis on Boson-Fermion Fock spaces. Zbl 1519.81007 Arai, Asao 2 2022 Mathematical analysis of quantum fields – historical survey and a new asymptotic perturbation theory. Zbl 1468.81068 Arai, Asao 1 2021 Inequivalent representations of canonical commutation and anti-commutation relations. Representation-theoretical viewpoint for quantum phenomena. Zbl 1450.81001 Arai, Asao 3 2020 Analysis on Fock spaces and mathematical theory of quantum fields. An introduction to mathematical analysis of quantum fields. Zbl 1401.81001 Arai, Asao 29 2018 Ultra-weak time operators of Schrödinger operators. Zbl 1404.81088 Arai, Asao; Hiroshima, Fumio 4 2017 A family of inequivalent Weyl representations of canonical commutation relations with applications to quantum field theory. Zbl 1342.81624 Arai, Asao 1 2016 A new asymptotic perturbation theory with applications to models of massless quantum fields. Zbl 1347.81062 Arai, Asao 8 2014 Some mathematical aspects of quantum Zeno effect. Zbl 1250.81017 Arai, Asao; Fuda, Toru 2 2012 Heisenberg operators of a Dirac particle interacting with the quantum radiation field. Zbl 1219.81092 Arai, Asao 2 2011 Representations of quantum phase spaces with infinite degrees of freedom. Zbl 1218.81073 Arai, Asao 1 2011 Spectral analysis of an effective Hamiltonian in nonrelativistic quantum electrodynamics. Zbl 1211.81057 Arai, Asao 1 2011 Necessary and sufficient conditions for a Hamiltonian with discrete eigenvalues to have time operators. Zbl 1161.81356 Arai, Asao 10 2009 Time operators of a Hamiltonian with purely discrete spectrum. Zbl 1155.81321 Arai, Asao; Matsuzawa, Yasumichi 10 2008 Construction of a Weyl representation from a weak Weyl representation of the canonical commutation relation. Zbl 1161.81357 Arai, Asao; Matsuzawa, Yasumichi 6 2008 On the uniqueness of weak Weyl representations of the canonical commutation relation. Zbl 1162.81017 Arai, Asao 5 2008 Some aspects of time operators. Zbl 1280.81052 Arai, Asao 3 2008 Spectrum of time operators. Zbl 1117.81054 Arai, Asao 9 2007 Heisenberg operators, invariant domains and Heisenberg equations of motion. Zbl 1205.81083 Arai, Asao 4 2007 Regularities of ground states of quantum field models. Zbl 1210.81070 Arai, Asao; Hirokawa, Masao; Hiroshima, Fumio 3 2007 Non-relativistic limit of a Dirac polaron in relativistic quantum electrodynamics. Zbl 1160.81484 Arai, Asao 5 2006 Mathematical analysis of a generalized chiral quark soliton model. Zbl 1093.81059 Arai, Asao 1 2006 Generalized weak Weyl relation and decay of quantum dynamics. Zbl 1111.81053 Arai, Asao 19 2005 Spectral analysis of a Dirac operator with a meromorphic potential. Zbl 1068.47054 Arai, Asao; Hayashi, Kunimitsu 2 2005 Spectral properties of a Dirac operator in the chiral quark soliton model. Zbl 1110.81073 Arai, Asao; Hayashi, Kunimitsu; Sasaki, Itaru 1 2005 Enhanced binding in a general class of quantum field models. Zbl 1081.81541 Arai, Asao; Kawano, Hiroyuki 8 2003 Non-relativistic limit of a Dirac-Maxwell operator in relativistic quantum electrodynamics. Zbl 1081.81114 Arai, Asao 7 2003 A garden of quanta. Essays in honor of Hiroshi Ezawa. Zbl 1024.00019 3 2003 Mathematical theory of quantum particles interacting with a quantum field. Zbl 1046.81062 Arai, Asao 2 2002 Exact solutions of multi-component nonlinear Schrödinger and Klein-Gordon equations in two-dimensional space-time. Zbl 0981.35080 Arai, Asao 30 2001 Ground state of the massless Nelson model without infrared cutoff in a non-Fock representation. Zbl 1029.81021 Arai, Asao 27 2001 Stability of ground states in sectors and its application to the Wigner-Weisskopf model. Zbl 1035.81018 Arai, Asao; Hirokawa, Masao 2 2001 Ground states of a general class of quantum field Hamiltonians. Zbl 0983.81016 Arai, Asao; Hirokawa, Masao 20 2000 Essential spectrum of a self-adjoint operator on an abstract Hilbert space of Fock type and applications to quantum field Hamiltonians. Zbl 0965.47015 Arai, Asao 16 2000 A particle-field Hamiltonian in relativistic quantum electrodynamics. Zbl 0973.81137 Arai, Asao 15 2000 Infinite-dimensional analysis and analytic number theory. Zbl 1116.81320 Arai, Asao 2 2000 Mathematical analysis of a model in relativistic quantum electrodynamics. Zbl 0958.81519 Arai, Asao 1 2000 On the absence of eigenvectors of Hamiltonians in a class of massless quantum field models without infrared cutoff. Zbl 0997.47061 Arai, Asao; Hirokawa, Masao; Hiroshima, Fumio 30 1999 Representation-theoretic aspects of two-dimensional quantum systems in singular vector potentials: Canonical commutation relations, quantum algebras, and reduction to lattice quantum systems. Zbl 1007.46063 Arai, Asao 8 1998 On the existence and uniqueness of ground states of a generalized spin-boson model. Zbl 0898.47048 Arai, Asao; Hirokawa, Masao 70 1997 A class of representations of the \(*\)-algebra of the canonical commutation relations over a Hilbert space and instability of embedded eigenvalues in quantum field models. Zbl 0991.81051 Arai, Asao 2 1997 A new estimate for the groundstate energy of Schrödinger operators. Zbl 0890.47040 Arai, Asao 1 1997 Trace formulas, a Golden-Thompson inequality and classical limit in boson Fock space. Zbl 0894.47059 Arai, Asao 9 1996 Canonical commutation relations, the Weierstrass zeta function, and infinite dimensional Hilbert space representations of the quantum group \(U_q(\mathfrak{sl}_2)\). Zbl 0897.47054 Arai, Asao 4 1996 Analysis of a family of strongly commuting self-adjoint operators with applications to perturbed d’Alembertians and the external field problem in quantum field theory. Zbl 0854.47037 Arai, Asao; Tominaga, Norio 1 1996 On the spin-boson model. Zbl 0899.47048 Arai, Asao; Hirokawa, Masao 1 1996 Supersymmetric quantum field theory and infinite-dimensional analysis. Zbl 0864.58062 Arai, Asao 1 1996 Gauge theory on a non-simply connected domain and representations of canonical commutation relations. Zbl 0879.46037 Arai, Asao 6 1995 Scaling limit of anticommuting selfadjoint operators and applications to Dirac operators. Zbl 0823.47026 Arai, Asao 3 1995 Representation of canonical commutation relations in a gauge theory, the Aharonov-Bohm effect, and the Dirac-Weyl operator. Zbl 0936.35143 Arai, A. 3 1995 Operator-theoretical analysis of a representation of a supersymmetry algebra in Hilbert space. Zbl 0836.46069 Arai, Asao 1 1995 On self-adjointness of Dirac operators in Boson-Fermion Fock spaces. Zbl 0807.47057 Arai, Asao 3 1994 Analysis on anticommuting self-adjoint operators. Zbl 0816.47021 Arai, Asao 3 1994 Properties of the Dirac-Weyl operator with a strongly singular gauge potential. Zbl 0809.47057 Arai, Asao 14 1993 Dirac operators in Boson-Fermion Fock spaces and supersymmetric quantum field theory. Zbl 0807.46086 Arai, Asao 9 1993 Commutation properties of anticommuting self-adjoint operators, spin representation and Dirac operators. Zbl 0793.47020 Arai, Asao 6 1993 Characterization of anticommutativity of self-adjoint operators in connection with Clifford algebra and applications. Zbl 0810.47019 Arai, Asao 6 1993 Supersymmetric extension of quantum scalar field theories. Zbl 0859.58003 Arai, Asao 5 1993 Comparison and nuclearity of spaces of differential forms on topological vector spaces. Zbl 0788.46049 Arai, Asao; Mitoma, Itaru 3 1993 A general class of infinite dimensional Dirac operators and path integral representation of their index. Zbl 0803.46082 Arai, Asao 21 1992 Momentum operators with gauge potentials, local quantization of magnetic flux, and representation of canonical commutation relations. Zbl 0787.47040 Arai, Asao 12 1992 An abstract sum formula and its applications to special functions. Zbl 0772.47006 Arai, Asao 2 1992 Exactly solvable supersymmetric quantum mechanics. Zbl 0731.47055 Arai, Asao 64 1991 De Rham-Hodge-Kodaira decomposition in \(\infty\)-dimensions. Zbl 0762.58004 Arai, Asao; Mitoma, Itaru 19 1991 A theorem on essential self-adjointness with application to Hamiltonians in nonrelativistic quantum field theory. Zbl 0753.47004 Arai, Asao 6 1991 Noninvertible Bogoliubov transformations and instability of embedded eigenvalues. Zbl 0741.47016 Arai, Asao 5 1991 A general class of infinite dimensional Dirac operators and related aspects. Zbl 0799.58005 Arai, Asao 1 1991 An asymptotic analysis and its application to the nonrelativistic limit of the Pauli-Fierz and a spin-boson model. Zbl 0734.47046 Arai, Asao 27 1990 Perturbation of embedded eigenvalues: A general class of exactly soluble models in Fock spaces. Zbl 0713.47010 Arai, Asao 11 1990 A general class of (essentially) iso-spectral perturbations. Zbl 0702.47006 Arai, Asao 3 1990 A criterion for the boundedness from below with a class of symmetric operators and its applications. Zbl 0701.47009 Arai, Asao 1 1990 Spectral analysis of a quantum harmonic oscillator coupled to infinitely many scalar bosons. Zbl 0667.46049 Arai, Asao 15 1989 Path integral representation of the index of Kähler-Dirac operators on an infinite dimensional manifold. Zbl 0684.58010 Arai, Asao 12 1989 Existence of infinitely many zero-energy states in a model of supersymmetric quantum mechanics. Zbl 0669.46039 Arai, Asao 10 1989 Supersymmetric embedding of a model of a quantum harmonic oscillator interacting with infinitely many bosons. Zbl 0674.58042 Arai, Asao 9 1989 On the degeneracy in the ground state of the \(N=2\) Wess-Zumino supersymmetric quantum mechanics. Zbl 0701.46056 Arai, Asao 7 1989 Long-time behavior of two-point functions of a quantum harmonic oscillator interacting with bosons. Zbl 0685.46049 Arai, Asao 1 1989 Formal aspects of supersymmetric embedding of Hamiltonians in quantum scalar field theories. Zbl 0649.58051 Arai, Asao 2 1988 On dimensional reduction of functional measures. Zbl 0644.28011 Arai, Asao 2 1988 Supersymmetry and singular perturbations. Zbl 0553.46047 Arai, Asao 16 1985 Rigorous theory of spectra and radiation for a model in quantum electrodynamics. Zbl 0944.81055 Arai, Asao 32 1983 A note on scattering theory in non-relativistic quantum electrodynamics. Zbl 0515.46073 Arai, Asao 21 1983 On the existence of solution to Schwinger’s functional differential equations of higher order. Zbl 0528.35084 Arai, Asao 1 1983 On a model of a harmonic oscillator coupled to a quantized, massless, scalar field. I. Zbl 0473.46050 Arai, Asao 36 1981 Self-adjointness and spectrum of Hamiltonians in nonrelativistic quantum electrodynamics. Zbl 0468.47030 Arai, Asao 14 1981 On a model of a harmonic oscillator coupled to a quantized, massless, scalar field. II. Zbl 0473.46051 Arai, Asao 13 1981 all cited Publications top 5 cited Publications all top 5 Cited by 353 Authors 59 Arai, Asao 33 Hiroshima, Fumio 14 Hirokawa, Masao 11 Hasler, David G. 11 Takaesu, Toshimitsu 10 Jia, Chunsheng 10 Léandre, Rémi 10 Sasaki, Itaru 10 Sigal, Israel Michael 9 Lörinczi, József 8 Amour, Laurent 8 Falconi, Marco 8 Li, Jibin 8 Suzuki, Akito 7 Albeverio, Sergio A. 7 Faupin, Jérémy 7 Jakšić, Vojkan 7 Miyao, Tadahiro 7 Posilicano, Andrea 6 Aida, Shigeki 6 Fröhlich, Jürg Martin 6 Gérard, Christian 6 Guillot, Jean-Claude 6 Matsuzawa, Yasumichi 6 Panati, Annalisa 6 Pillet, Claude-Alain 6 Spohn, Herbert 5 Bach, Volker 5 Dai, Chaoqing 5 Daletskii, Alexei 5 Griesemer, Marcel 5 Hinrichs, Benjamin 5 Matte, Oliver 5 Møller, Jacob Schach 5 Noja, Diego 5 Nourrigat, Jean Francois 5 Siebert, Oliver 5 Yi, Liangzhong 4 Ammari, Zied 4 Benamira, F. 4 Chen, Guanrong 4 Dereziński, Jan 4 Funakawa, Daiju 4 Futakuchi, Shinichiro 4 Guéchi, L. 4 Liu, Jianyi 4 Lonigro, Davide 4 Song, Jie 4 Sun, Yu 4 Teranishi, Noriaki 4 Torres-Vega, Gabino 4 Usui, Kouta 3 Ballesteros, Miguel 3 Billionnet, Claude 3 Correggi, Michele 3 Dong, Shihai 3 Fernández C., David J. 3 Grébert, Benoît 3 Jiang, Song 3 Könenberg, Martin 3 Liu, Xiqiang 3 Lytvynov, Yevgen Vil’yamovych 3 Mameri, S. 3 Minlos, Robert Adol’fovich 3 Sadoun, M. A. 3 Sever, Ramazan 3 Trapani, Camillo 3 Wang, Yueyue 3 Wei, Gaofeng 3 Zenk, Heribert 2 Ali, Khalid Karam 2 Asahara, Keisuke 2 Bagarello, Fabio 2 Bambusi, Dario 2 Barbaroux, Jean-Marie 2 Bertini, Massimo 2 Bruneau, Laurent 2 Büyükkılıç, Fevzi 2 Cen, Xu 2 Dam, Thomas Norman 2 De Roeck, Wojciech 2 Deckert, Dirk-André 2 Demirhan, Doǧan 2 Dimassi, Mouez 2 Dybalski, Wojciech 2 Eleuch, Hichem 2 Eshghi, Mahdi 2 Gheryani, Soumaya 2 Gubinelli, Massimiliano 2 Herbst, Ira W. 2 Hidaka, Takeru 2 Ibrogimov, Orif O. 2 Ikhdair, Sameer M. 2 Ilinski, Kirill N. 2 Inoue, Atsushi 2 Inoue, Atsushi 2 Jager, Lisette 2 Juárez-Aubry, Benito A. 2 Kondrat’yev, Yuriĭ Grygorovych 2 Kupiainen, Antti ...and 253 more Authors all top 5 Cited in 95 Serials 68 Journal of Mathematical Physics 34 Reviews in Mathematical Physics 31 Journal of Functional Analysis 22 Letters in Mathematical Physics 17 Annales Henri Poincaré 15 Communications in Mathematical Physics 15 Journal of Mathematical Analysis and Applications 15 Physics Letters. A 8 Infinite Dimensional Analysis, Quantum Probability and Related Topics 7 International Journal of Theoretical Physics 7 Reports on Mathematical Physics 7 Annales de l’Institut Henri Poincaré. Physique Théorique 7 Journal of Mathematical Chemistry 6 Journal of Geometry and Physics 6 Publications of the Research Institute for Mathematical Sciences, Kyoto University 6 Mathematical Physics, Analysis and Geometry 6 Journal of Physics A: Mathematical and Theoretical 5 Modern Physics Letters A 5 Journal of Statistical Physics 5 Applied Mathematics and Computation 5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Advances in Mathematics 4 Journal of Applied Analysis and Computation 3 Mathematical Methods in the Applied Sciences 3 Integral Equations and Operator Theory 3 Journal of Differential Equations 3 Applied Mathematics Letters 3 Journal of Nonlinear Mathematical Physics 2 International Journal of Modern Physics A 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 The Annals of Probability 2 Mathematische Zeitschrift 2 Proceedings of the Japan Academy. Series A 2 Transactions of the American Mathematical Society 2 Annals of Physics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 International Journal of Modern Physics C 2 Journal of Nonlinear Mathematical Physics 2 Journal of Evolution Equations 2 Quantum Information Processing 2 International Journal of Geometric Methods in Modern Physics 2 Advances in High Energy Physics 2 Advances in Mathematical Physics 2 Journal of Spectral Theory 1 International Journal of Modern Physics B 1 Applicable Analysis 1 Physica A 1 Studia Mathematica 1 Ukrainian Mathematical Journal 1 Calcolo 1 Dissertationes Mathematicae 1 Hokkaido Mathematical Journal 1 Journal of Computational and Applied Mathematics 1 Kodai Mathematical Journal 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Nagoya Mathematical Journal 1 Quarterly of Applied Mathematics 1 Results in Mathematics 1 Synthese 1 Tokyo Journal of Mathematics 1 Transactions of the Moscow Mathematical Society 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Statistics 1 Sugaku Expositions 1 Communications in Partial Differential Equations 1 SIAM Journal on Mathematical Analysis 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Mathematical Sciences (New York) 1 Kyushu Journal of Mathematics 1 The New York Journal of Mathematics 1 Open Systems & Information Dynamics 1 Annalen der Physik. 8th Series 1 Communications in Nonlinear Science and Numerical Simulation 1 Qualitative Theory of Dynamical Systems 1 Nonlinear Analysis. Real World Applications 1 Entropy 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Hyperbolic Differential Equations 1 Foundations of Physics 1 Stochastics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Proceedings of the Steklov Institute of Mathematics 1 Operators and Matrices 1 Discrete and Continuous Dynamical Systems. Series S 1 Analysis & PDE 1 Communications in Theoretical Physics 1 Kyoto Journal of Mathematics 1 Symmetry 1 ISRN Mathematical Analysis 1 Analysis and Mathematical Physics 1 JSIAM Letters 1 Journal of Mathematics 1 Quantum Studies: Mathematics and Foundations 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Cited in 41 Fields 327 Quantum theory (81-XX) 138 Operator theory (47-XX) 92 Partial differential equations (35-XX) 46 Functional analysis (46-XX) 37 Statistical mechanics, structure of matter (82-XX) 34 Global analysis, analysis on manifolds (58-XX) 34 Probability theory and stochastic processes (60-XX) 22 Ordinary differential equations (34-XX) 13 Dynamical systems and ergodic theory (37-XX) 11 Nonassociative rings and algebras (17-XX) 10 Optics, electromagnetic theory (78-XX) 8 Functions of a complex variable (30-XX) 7 Topological groups, Lie groups (22-XX) 6 Special functions (33-XX) 6 Statistics (62-XX) 5 Mechanics of particles and systems (70-XX) 4 Number theory (11-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Measure and integration (28-XX) 3 Differential geometry (53-XX) 3 Algebraic topology (55-XX) 3 Fluid mechanics (76-XX) 3 Relativity and gravitational theory (83-XX) 2 Associative rings and algebras (16-XX) 2 Group theory and generalizations (20-XX) 2 Real functions (26-XX) 2 Difference and functional equations (39-XX) 2 Manifolds and cell complexes (57-XX) 2 Numerical analysis (65-XX) 2 Computer science (68-XX) 2 Mechanics of deformable solids (74-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year