Edit Profile Arai, Asao Compute Distance To: Compute Author ID: arai.asao Published as: Arai, A.; Arai, Asao External Links: Math-Net.Ru · ResearchGate Documents Indexed: 108 Publications since 1981, including 4 Books all top 5 Co-Authors 88 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 Sakai, Nobuyuki 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 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 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 Journal of Mathematics 1 MI Lecture Note all top 5 Fields 96 Quantum theory (81-XX) 61 Operator theory (47-XX) 24 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 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-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 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 80 Publications have been cited 644 times in 312 Documents Cited by ▼ Year ▼ On the existence and uniqueness of ground states of a generalized spin-boson model. Zbl 0898.47048Arai, Asao; Hirokawa, Masao 57 1997 Exactly solvable supersymmetric quantum mechanics. Zbl 0731.47055Arai, Asao 37 1991 On a model of a harmonic oscillator coupled to a quantized, massless, scalar field. I. Zbl 0473.46050Arai, Asao 34 1981 Rigorous theory of spectra and radiation for a model in quantum electrodynamics. Zbl 0944.81055Arai, Asao 29 1983 On the absence of eigenvectors of Hamiltonians in a class of massless quantum field models without infrared cutoff. Zbl 0997.47061Arai, Asao; Hirokawa, Masao; Hiroshima, Fumio 26 1999 An asymptotic analysis and its application to the nonrelativistic limit of the Pauli-Fierz and a spin-boson model. Zbl 0734.47046Arai, Asao 23 1990 Ground state of the massless Nelson model without infrared cutoff in a non-Fock representation. Zbl 1029.81021Arai, Asao 20 2001 A general class of infinite dimensional Dirac operators and path integral representation of their index. Zbl 0803.46082Arai, Asao 20 1992 A note on scattering theory in non-relativistic quantum electrodynamics. Zbl 0515.46073Arai, Asao 19 1983 De Rham-Hodge-Kodaira decomposition in \(\infty\)-dimensions. Zbl 0762.58004Arai, Asao; Mitoma, Itaru 18 1991 Ground states of a general class of quantum field Hamiltonians. Zbl 0983.81016Arai, Asao; Hirokawa, Masao 16 2000 Generalized weak Weyl relation and decay of quantum dynamics. Zbl 1111.81053Arai, Asao 15 2005 Supersymmetry and singular perturbations. Zbl 0553.46047Arai, Asao 15 1985 A particle-field Hamiltonian in relativistic quantum electrodynamics. Zbl 0973.81137Arai, Asao 14 2000 Self-adjointness and spectrum of Hamiltonians in nonrelativistic quantum electrodynamics. Zbl 0468.47030Arai, Asao 14 1981 Exact solutions of multi-component nonlinear Schrödinger and Klein-Gordon equations in two-dimensional space-time. Zbl 0981.35080Arai, Asao 13 2001 Properties of the Dirac-Weyl operator with a strongly singular gauge potential. Zbl 0809.47057Arai, Asao 12 1993 Path integral representation of the index of Kähler-Dirac operators on an infinite dimensional manifold. Zbl 0684.58010Arai, Asao 12 1989 Spectral analysis of a quantum harmonic oscillator coupled to infinitely many scalar bosons. Zbl 0667.46049Arai, Asao 12 1989 On a model of a harmonic oscillator coupled to a quantized, massless, scalar field. II. Zbl 0473.46051Arai, Asao 12 1981 Essential spectrum of a self-adjoint operator on an abstract Hilbert space of Fock type and applications to quantum field Hamiltonians. Zbl 0965.47015Arai, Asao 10 2000 Momentum operators with gauge potentials, local quantization of magnetic flux, and representation of canonical commutation relations. Zbl 0787.47040Arai, Asao 10 1992 Perturbation of embedded eigenvalues: A general class of exactly soluble models in Fock spaces. Zbl 0713.47010Arai, Asao 10 1990 Trace formulas, a Golden-Thompson inequality and classical limit in boson Fock space. Zbl 0894.47059Arai, Asao 9 1996 Dirac operators in Boson-Fermion Fock spaces and supersymmetric quantum field theory. Zbl 0807.46086Arai, Asao 9 1993 Supersymmetric embedding of a model of a quantum harmonic oscillator interacting with infinitely many bosons. Zbl 0674.58042Arai, Asao 9 1989 Spectrum of time operators. Zbl 1117.81054Arai, Asao 8 2007 Enhanced binding in a general class of quantum field models. Zbl 1081.81541Arai, Asao; Kawano, Hiroyuki 8 2003 Existence of infinitely many zero-energy states in a model of supersymmetric quantum mechanics. Zbl 0669.46039Arai, Asao 8 1989 Analysis on Fock spaces and mathematical theory of quantum fields. An introduction to mathematical analysis of quantum fields. Zbl 1401.81001Arai, Asao 7 2018 Time operators of a Hamiltonian with purely discrete spectrum. Zbl 1155.81321Arai, Asao; Matsuzawa, Yasumichi 7 2008 Non-relativistic limit of a Dirac-Maxwell operator in relativistic quantum electrodynamics. Zbl 1081.81114Arai, Asao 7 2003 Representation-theoretic aspects of two-dimensional quantum systems in singular vector potentials: Canonical commutation relations, quantum algebras, and reduction to lattice quantum systems. Zbl 1007.46063Arai, Asao 7 1998 Necessary and sufficient conditions for a Hamiltonian with discrete eigenvalues to have time operators. Zbl 1161.81356Arai, Asao 6 2009 Construction of a Weyl representation from a weak Weyl representation of the canonical commutation relation. Zbl 1161.81357Arai, Asao; Matsuzawa, Yasumichi 6 2008 On the degeneracy in the ground state of the \(N=2\) Wess-Zumino supersymmetric quantum mechanics. Zbl 0701.46056Arai, Asao 6 1989 Non-relativistic limit of a Dirac polaron in relativistic quantum electrodynamics. Zbl 1160.81484Arai, Asao 5 2006 Supersymmetric extension of quantum scalar field theories. Zbl 0859.58003Arai, Asao 5 1993 Characterization of anticommutativity of self-adjoint operators in connection with Clifford algebra and applications. Zbl 0810.47019Arai, Asao 5 1993 Commutation properties of anticommuting self-adjoint operators, spin representation and Dirac operators. Zbl 0793.47020Arai, Asao 5 1993 On the uniqueness of weak Weyl representations of the canonical commutation relation. Zbl 1162.81017Arai, Asao 4 2008 Heisenberg operators, invariant domains and Heisenberg equations of motion. Zbl 1205.81083Arai, Asao 4 2007 Gauge theory on a non-simply connected domain and representations of canonical commutation relations. Zbl 0879.46037Arai, Asao 4 1995 A theorem on essential self-adjointness with application to Hamiltonians in nonrelativistic quantum field theory. Zbl 0753.47004Arai, Asao 4 1991 Some aspects of time operators. Zbl 1280.81052Arai, Asao 3 2008 Regularities of ground states of quantum field models. Zbl 1210.81070Arai, Asao; Hirokawa, Masao; Hiroshima, Fumio 3 2007 Canonical commutation relations, the Weierstrass zeta function, and infinite dimensional Hilbert space representations of the quantum group \(U_q(\mathfrak{sl}_2)\). Zbl 0897.47054Arai, Asao 3 1996 Representation of canonical commutation relations in a gauge theory, the Aharonov-Bohm effect, and the Dirac-Weyl operator. Zbl 0936.35143Arai, A. 3 1995 On self-adjointness of Dirac operators in Boson-Fermion Fock spaces. Zbl 0807.47057Arai, Asao 3 1994 Comparison and nuclearity of spaces of differential forms on topological vector spaces. Zbl 0788.46049Arai, Asao; Mitoma, Itaru 3 1993 Noninvertible Bogoliubov transformations and instability of embedded eigenvalues. Zbl 0741.47016Arai, Asao 3 1991 A new asymptotic perturbation theory with applications to models of massless quantum fields. Zbl 1347.81062Arai, Asao 2 2014 Some mathematical aspects of quantum Zeno effect. Zbl 1250.81017Arai, Asao; Fuda, Toru 2 2012 Heisenberg operators of a Dirac particle interacting with the quantum radiation field. Zbl 1219.81092Arai, Asao 2 2011 Spectral analysis of a Dirac operator with a meromorphic potential. Zbl 1068.47054Arai, Asao; Hayashi, Kunimitsu 2 2005 A garden of quanta. Essays in honor of Hiroshi Ezawa. Zbl 1024.00019Arafune, J. (ed.); Arai, A. (ed.); Kobayashi, M. (ed.); Nakamura, Koichi (ed.); Nakamura, Toru (ed.); Ojima, I. (ed.); Sakai, N. (ed.); Tonomura, A. (ed.); Watanabe, Keiji (ed.) 2 2003 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 0991.81051Arai, Asao 2 1997 On the spin-boson model. Zbl 0899.47048Arai, Asao; Hirokawa, Masao 2 1996 Scaling limit of anticommuting selfadjoint operators and applications to Dirac operators. Zbl 0823.47026Arai, Asao 2 1995 Analysis on anticommuting self-adjoint operators. Zbl 0816.47021Arai, Asao 2 1994 An abstract sum formula and its applications to special functions. Zbl 0772.47006Arai, Asao 2 1992 A general class of (essentially) iso-spectral perturbations. Zbl 0702.47006Arai, Asao 2 1990 Formal aspects of supersymmetric embedding of Hamiltonians in quantum scalar field theories. Zbl 0649.58051Arai, Asao 2 1988 On dimensional reduction of functional measures. Zbl 0644.28011Arai, Asao 2 1988 A family of inequivalent Weyl representations of canonical commutation relations with applications to quantum field theory. Zbl 1342.81624Arai, Asao 1 2016 Representations of quantum phase spaces with infinite degrees of freedom. Zbl 1218.81073Arai, Asao 1 2011 Mathematical analysis of a generalized chiral quark soliton model. Zbl 1093.81059Arai, Asao 1 2006 Spectral properties of a Dirac operator in the chiral quark soliton model. Zbl 1110.81073Arai, Asao; Hayashi, Kunimitsu; Sasaki, Itaru 1 2005 Mathematical theory of quantum particles interacting with a quantum field. Zbl 1046.81062Arai, Asao 1 2002 Stability of ground states in sectors and its application to the Wigner-Weisskopf model. Zbl 1035.81018Arai, Asao; Hirokawa, Masao 1 2001 Mathematical analysis of a model in relativistic quantum electrodynamics. Zbl 0958.81519Arai, Asao 1 2000 A new estimate for the groundstate energy of Schrödinger operators. Zbl 0890.47040Arai, Asao 1 1997 Supersymmetric quantum field theory and infinite-dimensional analysis. Zbl 0864.58062Arai, Asao 1 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 0854.47037Arai, Asao; Tominaga, Norio 1 1996 Operator-theoretical analysis of a representation of a supersymmetry algebra in Hilbert space. Zbl 0836.46069Arai, Asao 1 1995 A general class of infinite dimensional Dirac operators and related aspects. Zbl 0799.58005Arai, Asao 1 1991 A criterion for the boundedness from below with a class of symmetric operators and its applications. Zbl 0701.47009Arai, Asao 1 1990 Long-time behavior of two-point functions of a quantum harmonic oscillator interacting with bosons. Zbl 0685.46049Arai, Asao 1 1989 Asymptotic analysis of fundamental solutions of Dirac operators on even dimensional Euclidean spaces. Zbl 0633.47032Arai, Asao 1 1987 On the existence of solution to Schwinger’s functional differential equations of higher order. Zbl 0528.35084Arai, Asao 1 1983 Analysis on Fock spaces and mathematical theory of quantum fields. An introduction to mathematical analysis of quantum fields. Zbl 1401.81001Arai, Asao 7 2018 A family of inequivalent Weyl representations of canonical commutation relations with applications to quantum field theory. Zbl 1342.81624Arai, Asao 1 2016 A new asymptotic perturbation theory with applications to models of massless quantum fields. Zbl 1347.81062Arai, Asao 2 2014 Some mathematical aspects of quantum Zeno effect. Zbl 1250.81017Arai, Asao; Fuda, Toru 2 2012 Heisenberg operators of a Dirac particle interacting with the quantum radiation field. Zbl 1219.81092Arai, Asao 2 2011 Representations of quantum phase spaces with infinite degrees of freedom. Zbl 1218.81073Arai, Asao 1 2011 Necessary and sufficient conditions for a Hamiltonian with discrete eigenvalues to have time operators. Zbl 1161.81356Arai, Asao 6 2009 Time operators of a Hamiltonian with purely discrete spectrum. Zbl 1155.81321Arai, Asao; Matsuzawa, Yasumichi 7 2008 Construction of a Weyl representation from a weak Weyl representation of the canonical commutation relation. Zbl 1161.81357Arai, Asao; Matsuzawa, Yasumichi 6 2008 On the uniqueness of weak Weyl representations of the canonical commutation relation. Zbl 1162.81017Arai, Asao 4 2008 Some aspects of time operators. Zbl 1280.81052Arai, Asao 3 2008 Spectrum of time operators. Zbl 1117.81054Arai, Asao 8 2007 Heisenberg operators, invariant domains and Heisenberg equations of motion. Zbl 1205.81083Arai, Asao 4 2007 Regularities of ground states of quantum field models. Zbl 1210.81070Arai, Asao; Hirokawa, Masao; Hiroshima, Fumio 3 2007 Non-relativistic limit of a Dirac polaron in relativistic quantum electrodynamics. Zbl 1160.81484Arai, Asao 5 2006 Mathematical analysis of a generalized chiral quark soliton model. Zbl 1093.81059Arai, Asao 1 2006 Generalized weak Weyl relation and decay of quantum dynamics. Zbl 1111.81053Arai, Asao 15 2005 Spectral analysis of a Dirac operator with a meromorphic potential. Zbl 1068.47054Arai, Asao; Hayashi, Kunimitsu 2 2005 Spectral properties of a Dirac operator in the chiral quark soliton model. Zbl 1110.81073Arai, Asao; Hayashi, Kunimitsu; Sasaki, Itaru 1 2005 Enhanced binding in a general class of quantum field models. Zbl 1081.81541Arai, Asao; Kawano, Hiroyuki 8 2003 Non-relativistic limit of a Dirac-Maxwell operator in relativistic quantum electrodynamics. Zbl 1081.81114Arai, Asao 7 2003 A garden of quanta. Essays in honor of Hiroshi Ezawa. Zbl 1024.00019Arafune, J. (ed.); Arai, A. (ed.); Kobayashi, M. (ed.); Nakamura, Koichi (ed.); Nakamura, Toru (ed.); Ojima, I. (ed.); Sakai, N. (ed.); Tonomura, A. (ed.); Watanabe, Keiji (ed.) 2 2003 Mathematical theory of quantum particles interacting with a quantum field. Zbl 1046.81062Arai, Asao 1 2002 Ground state of the massless Nelson model without infrared cutoff in a non-Fock representation. Zbl 1029.81021Arai, Asao 20 2001 Exact solutions of multi-component nonlinear Schrödinger and Klein-Gordon equations in two-dimensional space-time. Zbl 0981.35080Arai, Asao 13 2001 Stability of ground states in sectors and its application to the Wigner-Weisskopf model. Zbl 1035.81018Arai, Asao; Hirokawa, Masao 1 2001 Ground states of a general class of quantum field Hamiltonians. Zbl 0983.81016Arai, Asao; Hirokawa, Masao 16 2000 A particle-field Hamiltonian in relativistic quantum electrodynamics. Zbl 0973.81137Arai, Asao 14 2000 Essential spectrum of a self-adjoint operator on an abstract Hilbert space of Fock type and applications to quantum field Hamiltonians. Zbl 0965.47015Arai, Asao 10 2000 Mathematical analysis of a model in relativistic quantum electrodynamics. Zbl 0958.81519Arai, Asao 1 2000 On the absence of eigenvectors of Hamiltonians in a class of massless quantum field models without infrared cutoff. Zbl 0997.47061Arai, Asao; Hirokawa, Masao; Hiroshima, Fumio 26 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 1007.46063Arai, Asao 7 1998 On the existence and uniqueness of ground states of a generalized spin-boson model. Zbl 0898.47048Arai, Asao; Hirokawa, Masao 57 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 0991.81051Arai, Asao 2 1997 A new estimate for the groundstate energy of Schrödinger operators. Zbl 0890.47040Arai, Asao 1 1997 Trace formulas, a Golden-Thompson inequality and classical limit in boson Fock space. Zbl 0894.47059Arai, 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 0897.47054Arai, Asao 3 1996 On the spin-boson model. Zbl 0899.47048Arai, Asao; Hirokawa, Masao 2 1996 Supersymmetric quantum field theory and infinite-dimensional analysis. Zbl 0864.58062Arai, Asao 1 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 0854.47037Arai, Asao; Tominaga, Norio 1 1996 Gauge theory on a non-simply connected domain and representations of canonical commutation relations. Zbl 0879.46037Arai, Asao 4 1995 Representation of canonical commutation relations in a gauge theory, the Aharonov-Bohm effect, and the Dirac-Weyl operator. Zbl 0936.35143Arai, A. 3 1995 Scaling limit of anticommuting selfadjoint operators and applications to Dirac operators. Zbl 0823.47026Arai, Asao 2 1995 Operator-theoretical analysis of a representation of a supersymmetry algebra in Hilbert space. Zbl 0836.46069Arai, Asao 1 1995 On self-adjointness of Dirac operators in Boson-Fermion Fock spaces. Zbl 0807.47057Arai, Asao 3 1994 Analysis on anticommuting self-adjoint operators. Zbl 0816.47021Arai, Asao 2 1994 Properties of the Dirac-Weyl operator with a strongly singular gauge potential. Zbl 0809.47057Arai, Asao 12 1993 Dirac operators in Boson-Fermion Fock spaces and supersymmetric quantum field theory. Zbl 0807.46086Arai, Asao 9 1993 Supersymmetric extension of quantum scalar field theories. Zbl 0859.58003Arai, Asao 5 1993 Characterization of anticommutativity of self-adjoint operators in connection with Clifford algebra and applications. Zbl 0810.47019Arai, Asao 5 1993 Commutation properties of anticommuting self-adjoint operators, spin representation and Dirac operators. Zbl 0793.47020Arai, Asao 5 1993 Comparison and nuclearity of spaces of differential forms on topological vector spaces. Zbl 0788.46049Arai, Asao; Mitoma, Itaru 3 1993 A general class of infinite dimensional Dirac operators and path integral representation of their index. Zbl 0803.46082Arai, Asao 20 1992 Momentum operators with gauge potentials, local quantization of magnetic flux, and representation of canonical commutation relations. Zbl 0787.47040Arai, Asao 10 1992 An abstract sum formula and its applications to special functions. Zbl 0772.47006Arai, Asao 2 1992 Exactly solvable supersymmetric quantum mechanics. Zbl 0731.47055Arai, Asao 37 1991 De Rham-Hodge-Kodaira decomposition in \(\infty\)-dimensions. Zbl 0762.58004Arai, Asao; Mitoma, Itaru 18 1991 A theorem on essential self-adjointness with application to Hamiltonians in nonrelativistic quantum field theory. Zbl 0753.47004Arai, Asao 4 1991 Noninvertible Bogoliubov transformations and instability of embedded eigenvalues. Zbl 0741.47016Arai, Asao 3 1991 A general class of infinite dimensional Dirac operators and related aspects. Zbl 0799.58005Arai, Asao 1 1991 An asymptotic analysis and its application to the nonrelativistic limit of the Pauli-Fierz and a spin-boson model. Zbl 0734.47046Arai, Asao 23 1990 Perturbation of embedded eigenvalues: A general class of exactly soluble models in Fock spaces. Zbl 0713.47010Arai, Asao 10 1990 A general class of (essentially) iso-spectral perturbations. Zbl 0702.47006Arai, Asao 2 1990 A criterion for the boundedness from below with a class of symmetric operators and its applications. Zbl 0701.47009Arai, Asao 1 1990 Path integral representation of the index of Kähler-Dirac operators on an infinite dimensional manifold. Zbl 0684.58010Arai, Asao 12 1989 Spectral analysis of a quantum harmonic oscillator coupled to infinitely many scalar bosons. Zbl 0667.46049Arai, Asao 12 1989 Supersymmetric embedding of a model of a quantum harmonic oscillator interacting with infinitely many bosons. Zbl 0674.58042Arai, Asao 9 1989 Existence of infinitely many zero-energy states in a model of supersymmetric quantum mechanics. Zbl 0669.46039Arai, Asao 8 1989 On the degeneracy in the ground state of the \(N=2\) Wess-Zumino supersymmetric quantum mechanics. Zbl 0701.46056Arai, Asao 6 1989 Long-time behavior of two-point functions of a quantum harmonic oscillator interacting with bosons. Zbl 0685.46049Arai, Asao 1 1989 Formal aspects of supersymmetric embedding of Hamiltonians in quantum scalar field theories. Zbl 0649.58051Arai, Asao 2 1988 On dimensional reduction of functional measures. Zbl 0644.28011Arai, Asao 2 1988 Asymptotic analysis of fundamental solutions of Dirac operators on even dimensional Euclidean spaces. Zbl 0633.47032Arai, Asao 1 1987 Supersymmetry and singular perturbations. Zbl 0553.46047Arai, Asao 15 1985 Rigorous theory of spectra and radiation for a model in quantum electrodynamics. Zbl 0944.81055Arai, Asao 29 1983 A note on scattering theory in non-relativistic quantum electrodynamics. Zbl 0515.46073Arai, Asao 19 1983 On the existence of solution to Schwinger’s functional differential equations of higher order. Zbl 0528.35084Arai, Asao 1 1983 On a model of a harmonic oscillator coupled to a quantized, massless, scalar field. I. Zbl 0473.46050Arai, Asao 34 1981 Self-adjointness and spectrum of Hamiltonians in nonrelativistic quantum electrodynamics. Zbl 0468.47030Arai, Asao 14 1981 On a model of a harmonic oscillator coupled to a quantized, massless, scalar field. II. Zbl 0473.46051Arai, Asao 12 1981 all cited Publications top 5 cited Publications all top 5 Cited by 255 Authors 55 Arai, Asao 29 Hiroshima, Fumio 13 Hirokawa, Masao 9 Léandre, Rémi 9 Sigal, Israel Michael 9 Takaesu, Toshimitsu 8 Sasaki, Itaru 7 Albeverio, Sergio A. 7 Faupin, Jérémy 7 Lörinczi, József 7 Suzuki, Akito 6 Aida, Shigeki 6 Amour, Laurent 6 Fröhlich, Jürg Martin 6 Gérard, Christian 6 Guillot, Jean-Claude 6 Li, Jibin 6 Spohn, Herbert 5 Bach, Volker 5 Daletskii, Alexei 5 Griesemer, Marcel 5 Hasler, David G. 5 Jakšić, Vojkan 5 Matsuzawa, Yasumichi 5 Miyao, Tadahiro 5 Noja, Diego 5 Panati, Annalisa 5 Pillet, Claude-Alain 5 Posilicano, Andrea 4 Chen, Guanrong 4 Dereziński, Jan 4 Falconi, Marco 4 Futakuchi, Shinichiro 4 Torres-Vega, Gabino 4 Usui, Kouta 3 Ammari, Zied 3 Ballesteros, Miguel 3 Benamira, F. 3 Billionnet, Claude 3 Grébert, Benoît 3 Guéchi, L. 3 Jia, Chunsheng 3 Könenberg, Martin 3 Lytvynov, Eugene W. 3 Matte, Oliver 3 Minlos, Robert Adol’fovich 3 Nourrigat, Jean Francois 3 Schach Møller, Jacob 3 Sever, Ramazan 3 Song, Jie 3 Teranishi, Noriaki 3 Trapani, Camillo 3 Yi, Liangzhong 3 Zenk, Heribert 2 Bagarello, Fabio 2 Bambusi, Dario 2 Barbaroux, Jean-Marie 2 Bertini, Massimo 2 Bruneau, Laurent 2 Dai, Chaoqing 2 De Roeck, Wojciech 2 Deckert, Dirk-André 2 Dimassi, Mouez 2 Eshghi, Mahdi 2 Funakawa, Daiju 2 Gheryani, Soumaya 2 Gubinelli, Massimiliano 2 Herbst, Ira W. 2 Ibrogimov, Orif O. 2 Ikhdair, Sameer M. 2 Inoue, Atsushi 2 Inoue, Atsushi 2 Jager, Lisette 2 Kondrat’yev, Yuriĭ Grygorovych 2 Kupiainen, Antti 2 Kupsch, Joachim 2 Lange, Markus 2 Majid, Achref 2 Mameri, S. 2 Martínez-Pérez, Armando 2 Mehraban, Hossein 2 Menrath, Lars 2 Møller, Jacob S. 2 Motavali, Hossein 2 Ogurisu, Osamu 2 Ouerdiane, Habib 2 Sadoun, M. A. 2 Schulz-Baldes, Hermann 2 Setare, Mohammad Reza 2 Stockmeyer, Edgardo 2 Sun, Yu 2 Tanimura, Shogo 1 Abdesselam, Abdelmalek 1 Aihara, Yuta 1 Akbarieh, Rezaei A. 1 Aktaş, Metin 1 Alhaidari, Abdulaziz D. 1 Alvarez, Benjamin Louis 1 Angelescu, Nicolae 1 Belinsky, Boris P. ...and 155 more Authors all top 5 Cited in 69 Serials 62 Journal of Mathematical Physics 29 Reviews in Mathematical Physics 29 Journal of Functional Analysis 20 Letters in Mathematical Physics 15 Journal of Mathematical Analysis and Applications 14 Communications in Mathematical Physics 12 Annales Henri Poincaré 8 Infinite Dimensional Analysis, Quantum Probability and Related Topics 7 Annales de l’Institut Henri Poincaré. Physique Théorique 6 International Journal of Theoretical Physics 6 Journal of Geometry and Physics 6 Publications of the Research Institute for Mathematical Sciences, Kyoto University 6 Journal of Mathematical Chemistry 5 Modern Physics Letters A 5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Advances in Mathematics 4 Mathematical Physics, Analysis and Geometry 3 Journal of Statistical Physics 3 Reports on Mathematical Physics 3 Applied Mathematics and Computation 3 Integral Equations and Operator Theory 2 International Journal of Modern Physics A 2 Mathematical Methods in the Applied Sciences 2 The Annals of Probability 2 Mathematische Zeitschrift 2 Proceedings of the Japan Academy. Series A 2 Transactions of the American Mathematical Society 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 International Journal of Modern Physics C 2 Journal of Nonlinear Mathematical Physics 2 Advances in High Energy Physics 2 Advances in Mathematical Physics 1 International Journal of Modern Physics B 1 Applicable Analysis 1 Ukrainian Mathematical Journal 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Kodai Mathematical Journal 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Nagoya Mathematical Journal 1 Transactions of the Moscow Mathematical Society 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Statistics 1 Applied Mathematics Letters 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 Open Systems & Information Dynamics 1 Annalen der Physik. 8th Series 1 Journal of Evolution Equations 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 Journal of Physics A: Mathematical and Theoretical 1 Communications in Theoretical Physics 1 Kyoto Journal of Mathematics 1 Symmetry 1 Journal of Spectral Theory 1 ISRN Mathematical Analysis 1 Analysis and Mathematical Physics 1 Journal of Applied Analysis and Computation 1 Journal of Mathematics 1 Quantum Studies: Mathematics and Foundations 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Cited in 36 Fields 255 Quantum theory (81-XX) 115 Operator theory (47-XX) 61 Partial differential equations (35-XX) 38 Functional analysis (46-XX) 31 Global analysis, analysis on manifolds (58-XX) 30 Probability theory and stochastic processes (60-XX) 26 Statistical mechanics, structure of matter (82-XX) 11 Ordinary differential equations (34-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Nonassociative rings and algebras (17-XX) 7 Optics, electromagnetic theory (78-XX) 5 Topological groups, Lie groups (22-XX) 5 Mechanics of particles and systems (70-XX) 4 Functions of a complex variable (30-XX) 4 Statistics (62-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Measure and integration (28-XX) 3 Special functions (33-XX) 3 Differential geometry (53-XX) 2 Number theory (11-XX) 2 Group theory and generalizations (20-XX) 2 Difference and functional equations (39-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 2 Fluid mechanics (76-XX) 2 Relativity and gravitational theory (83-XX) 1 Associative rings and algebras (16-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 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year