# zbMATH — the first resource for mathematics

## Arai, Asao

Compute Distance To:
 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
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#### 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
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#### 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
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#### 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)

#### 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 0898.47048
Arai, Asao; Hirokawa, Masao
1997
Exactly solvable supersymmetric quantum mechanics. Zbl 0731.47055
Arai, Asao
1991
On a model of a harmonic oscillator coupled to a quantized, massless, scalar field. I. Zbl 0473.46050
Arai, Asao
1981
Rigorous theory of spectra and radiation for a model in quantum electrodynamics. Zbl 0944.81055
Arai, Asao
1983
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
1999
An asymptotic analysis and its application to the nonrelativistic limit of the Pauli-Fierz and a spin-boson model. Zbl 0734.47046
Arai, Asao
1990
Ground state of the massless Nelson model without infrared cutoff in a non-Fock representation. Zbl 1029.81021
Arai, Asao
2001
A general class of infinite dimensional Dirac operators and path integral representation of their index. Zbl 0803.46082
Arai, Asao
1992
A note on scattering theory in non-relativistic quantum electrodynamics. Zbl 0515.46073
Arai, Asao
1983
De Rham-Hodge-Kodaira decomposition in $$\infty$$-dimensions. Zbl 0762.58004
Arai, Asao; Mitoma, Itaru
1991
Ground states of a general class of quantum field Hamiltonians. Zbl 0983.81016
Arai, Asao; Hirokawa, Masao
2000
Generalized weak Weyl relation and decay of quantum dynamics. Zbl 1111.81053
Arai, Asao
2005
Supersymmetry and singular perturbations. Zbl 0553.46047
Arai, Asao
1985
A particle-field Hamiltonian in relativistic quantum electrodynamics. Zbl 0973.81137
Arai, Asao
2000
Self-adjointness and spectrum of Hamiltonians in nonrelativistic quantum electrodynamics. Zbl 0468.47030
Arai, Asao
1981
Exact solutions of multi-component nonlinear Schrödinger and Klein-Gordon equations in two-dimensional space-time. Zbl 0981.35080
Arai, Asao
2001
Properties of the Dirac-Weyl operator with a strongly singular gauge potential. Zbl 0809.47057
Arai, Asao
1993
Path integral representation of the index of Kähler-Dirac operators on an infinite dimensional manifold. Zbl 0684.58010
Arai, Asao
1989
Spectral analysis of a quantum harmonic oscillator coupled to infinitely many scalar bosons. Zbl 0667.46049
Arai, Asao
1989
On a model of a harmonic oscillator coupled to a quantized, massless, scalar field. II. Zbl 0473.46051
Arai, Asao
1981
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
2000
Momentum operators with gauge potentials, local quantization of magnetic flux, and representation of canonical commutation relations. Zbl 0787.47040
Arai, Asao
1992
Perturbation of embedded eigenvalues: A general class of exactly soluble models in Fock spaces. Zbl 0713.47010
Arai, Asao
1990
Trace formulas, a Golden-Thompson inequality and classical limit in boson Fock space. Zbl 0894.47059
Arai, Asao
1996
Dirac operators in Boson-Fermion Fock spaces and supersymmetric quantum field theory. Zbl 0807.46086
Arai, Asao
1993
Supersymmetric embedding of a model of a quantum harmonic oscillator interacting with infinitely many bosons. Zbl 0674.58042
Arai, Asao
1989
Spectrum of time operators. Zbl 1117.81054
Arai, Asao
2007
Enhanced binding in a general class of quantum field models. Zbl 1081.81541
Arai, Asao; Kawano, Hiroyuki
2003
Existence of infinitely many zero-energy states in a model of supersymmetric quantum mechanics. Zbl 0669.46039
Arai, Asao
1989
Analysis on Fock spaces and mathematical theory of quantum fields. An introduction to mathematical analysis of quantum fields. Zbl 1401.81001
Arai, Asao
2018
Time operators of a Hamiltonian with purely discrete spectrum. Zbl 1155.81321
Arai, Asao; Matsuzawa, Yasumichi
2008
Non-relativistic limit of a Dirac-Maxwell operator in relativistic quantum electrodynamics. Zbl 1081.81114
Arai, Asao
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 1007.46063
Arai, Asao
1998
Necessary and sufficient conditions for a Hamiltonian with discrete eigenvalues to have time operators. Zbl 1161.81356
Arai, Asao
2009
Construction of a Weyl representation from a weak Weyl representation of the canonical commutation relation. Zbl 1161.81357
Arai, Asao; Matsuzawa, Yasumichi
2008
On the degeneracy in the ground state of the $$N=2$$ Wess-Zumino supersymmetric quantum mechanics. Zbl 0701.46056
Arai, Asao
1989
Non-relativistic limit of a Dirac polaron in relativistic quantum electrodynamics. Zbl 1160.81484
Arai, Asao
2006
Supersymmetric extension of quantum scalar field theories. Zbl 0859.58003
Arai, Asao
1993
Characterization of anticommutativity of self-adjoint operators in connection with Clifford algebra and applications. Zbl 0810.47019
Arai, Asao
1993
Commutation properties of anticommuting self-adjoint operators, spin representation and Dirac operators. Zbl 0793.47020
Arai, Asao
1993
On the uniqueness of weak Weyl representations of the canonical commutation relation. Zbl 1162.81017
Arai, Asao
2008
Heisenberg operators, invariant domains and Heisenberg equations of motion. Zbl 1205.81083
Arai, Asao
2007
Gauge theory on a non-simply connected domain and representations of canonical commutation relations. Zbl 0879.46037
Arai, Asao
1995
A theorem on essential self-adjointness with application to Hamiltonians in nonrelativistic quantum field theory. Zbl 0753.47004
Arai, Asao
1991
Some aspects of time operators. Zbl 1280.81052
Arai, Asao
2008
Regularities of ground states of quantum field models. Zbl 1210.81070
Arai, Asao; Hirokawa, Masao; Hiroshima, Fumio
2007
Canonical commutation relations, the Weierstrass zeta function, and infinite dimensional Hilbert space representations of the quantum group $$U_q(\mathfrak{sl}_2)$$. Zbl 0897.47054
Arai, Asao
1996
Representation of canonical commutation relations in a gauge theory, the Aharonov-Bohm effect, and the Dirac-Weyl operator. Zbl 0936.35143
Arai, A.
1995
On self-adjointness of Dirac operators in Boson-Fermion Fock spaces. Zbl 0807.47057
Arai, Asao
1994
Comparison and nuclearity of spaces of differential forms on topological vector spaces. Zbl 0788.46049
Arai, Asao; Mitoma, Itaru
1993
Noninvertible Bogoliubov transformations and instability of embedded eigenvalues. Zbl 0741.47016
Arai, Asao
1991
A new asymptotic perturbation theory with applications to models of massless quantum fields. Zbl 1347.81062
Arai, Asao
2014
Some mathematical aspects of quantum Zeno effect. Zbl 1250.81017
Arai, Asao; Fuda, Toru
2012
Heisenberg operators of a Dirac particle interacting with the quantum radiation field. Zbl 1219.81092
Arai, Asao
2011
Spectral analysis of a Dirac operator with a meromorphic potential. Zbl 1068.47054
Arai, Asao; Hayashi, Kunimitsu
2005
A garden of quanta. Essays in honor of Hiroshi Ezawa. Zbl 1024.00019
Arafune, 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.)
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 0991.81051
Arai, Asao
1997
On the spin-boson model. Zbl 0899.47048
Arai, Asao; Hirokawa, Masao
1996
Scaling limit of anticommuting selfadjoint operators and applications to Dirac operators. Zbl 0823.47026
Arai, Asao
1995
Analysis on anticommuting self-adjoint operators. Zbl 0816.47021
Arai, Asao
1994
An abstract sum formula and its applications to special functions. Zbl 0772.47006
Arai, Asao
1992
A general class of (essentially) iso-spectral perturbations. Zbl 0702.47006
Arai, Asao
1990
Formal aspects of supersymmetric embedding of Hamiltonians in quantum scalar field theories. Zbl 0649.58051
Arai, Asao
1988
On dimensional reduction of functional measures. Zbl 0644.28011
Arai, Asao
1988
A family of inequivalent Weyl representations of canonical commutation relations with applications to quantum field theory. Zbl 1342.81624
Arai, Asao
2016
Representations of quantum phase spaces with infinite degrees of freedom. Zbl 1218.81073
Arai, Asao
2011
Mathematical analysis of a generalized chiral quark soliton model. Zbl 1093.81059
Arai, Asao
2006
Spectral properties of a Dirac operator in the chiral quark soliton model. Zbl 1110.81073
Arai, Asao; Hayashi, Kunimitsu; Sasaki, Itaru
2005
Mathematical theory of quantum particles interacting with a quantum field. Zbl 1046.81062
Arai, Asao
2002
Stability of ground states in sectors and its application to the Wigner-Weisskopf model. Zbl 1035.81018
Arai, Asao; Hirokawa, Masao
2001
Mathematical analysis of a model in relativistic quantum electrodynamics. Zbl 0958.81519
Arai, Asao
2000
A new estimate for the groundstate energy of Schrödinger operators. Zbl 0890.47040
Arai, Asao
1997
Supersymmetric quantum field theory and infinite-dimensional analysis. Zbl 0864.58062
Arai, Asao
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
1996
Operator-theoretical analysis of a representation of a supersymmetry algebra in Hilbert space. Zbl 0836.46069
Arai, Asao
1995
A general class of infinite dimensional Dirac operators and related aspects. Zbl 0799.58005
Arai, Asao
1991
A criterion for the boundedness from below with a class of symmetric operators and its applications. Zbl 0701.47009
Arai, Asao
1990
Long-time behavior of two-point functions of a quantum harmonic oscillator interacting with bosons. Zbl 0685.46049
Arai, Asao
1989
Asymptotic analysis of fundamental solutions of Dirac operators on even dimensional Euclidean spaces. Zbl 0633.47032
Arai, Asao
1987
On the existence of solution to Schwinger’s functional differential equations of higher order. Zbl 0528.35084
Arai, Asao
1983
Analysis on Fock spaces and mathematical theory of quantum fields. An introduction to mathematical analysis of quantum fields. Zbl 1401.81001
Arai, Asao
2018
A family of inequivalent Weyl representations of canonical commutation relations with applications to quantum field theory. Zbl 1342.81624
Arai, Asao
2016
A new asymptotic perturbation theory with applications to models of massless quantum fields. Zbl 1347.81062
Arai, Asao
2014
Some mathematical aspects of quantum Zeno effect. Zbl 1250.81017
Arai, Asao; Fuda, Toru
2012
Heisenberg operators of a Dirac particle interacting with the quantum radiation field. Zbl 1219.81092
Arai, Asao
2011
Representations of quantum phase spaces with infinite degrees of freedom. Zbl 1218.81073
Arai, Asao
2011
Necessary and sufficient conditions for a Hamiltonian with discrete eigenvalues to have time operators. Zbl 1161.81356
Arai, Asao
2009
Time operators of a Hamiltonian with purely discrete spectrum. Zbl 1155.81321
Arai, Asao; Matsuzawa, Yasumichi
2008
Construction of a Weyl representation from a weak Weyl representation of the canonical commutation relation. Zbl 1161.81357
Arai, Asao; Matsuzawa, Yasumichi
2008
On the uniqueness of weak Weyl representations of the canonical commutation relation. Zbl 1162.81017
Arai, Asao
2008
Some aspects of time operators. Zbl 1280.81052
Arai, Asao
2008
Spectrum of time operators. Zbl 1117.81054
Arai, Asao
2007
Heisenberg operators, invariant domains and Heisenberg equations of motion. Zbl 1205.81083
Arai, Asao
2007
Regularities of ground states of quantum field models. Zbl 1210.81070
Arai, Asao; Hirokawa, Masao; Hiroshima, Fumio
2007
Non-relativistic limit of a Dirac polaron in relativistic quantum electrodynamics. Zbl 1160.81484
Arai, Asao
2006
Mathematical analysis of a generalized chiral quark soliton model. Zbl 1093.81059
Arai, Asao
2006
Generalized weak Weyl relation and decay of quantum dynamics. Zbl 1111.81053
Arai, Asao
2005
Spectral analysis of a Dirac operator with a meromorphic potential. Zbl 1068.47054
Arai, Asao; Hayashi, Kunimitsu
2005
Spectral properties of a Dirac operator in the chiral quark soliton model. Zbl 1110.81073
Arai, Asao; Hayashi, Kunimitsu; Sasaki, Itaru
2005
Enhanced binding in a general class of quantum field models. Zbl 1081.81541
Arai, Asao; Kawano, Hiroyuki
2003
Non-relativistic limit of a Dirac-Maxwell operator in relativistic quantum electrodynamics. Zbl 1081.81114
Arai, Asao
2003
A garden of quanta. Essays in honor of Hiroshi Ezawa. Zbl 1024.00019
Arafune, 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.)
2003
Mathematical theory of quantum particles interacting with a quantum field. Zbl 1046.81062
Arai, Asao
2002
Ground state of the massless Nelson model without infrared cutoff in a non-Fock representation. Zbl 1029.81021
Arai, Asao
2001
Exact solutions of multi-component nonlinear Schrödinger and Klein-Gordon equations in two-dimensional space-time. Zbl 0981.35080
Arai, Asao
2001
Stability of ground states in sectors and its application to the Wigner-Weisskopf model. Zbl 1035.81018
Arai, Asao; Hirokawa, Masao
2001
Ground states of a general class of quantum field Hamiltonians. Zbl 0983.81016
Arai, Asao; Hirokawa, Masao
2000
A particle-field Hamiltonian in relativistic quantum electrodynamics. Zbl 0973.81137
Arai, Asao
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
2000
Mathematical analysis of a model in relativistic quantum electrodynamics. Zbl 0958.81519
Arai, Asao
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
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
1998
On the existence and uniqueness of ground states of a generalized spin-boson model. Zbl 0898.47048
Arai, Asao; Hirokawa, Masao
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
1997
A new estimate for the groundstate energy of Schrödinger operators. Zbl 0890.47040
Arai, Asao
1997
Trace formulas, a Golden-Thompson inequality and classical limit in boson Fock space. Zbl 0894.47059
Arai, Asao
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
1996
On the spin-boson model. Zbl 0899.47048
Arai, Asao; Hirokawa, Masao
1996
Supersymmetric quantum field theory and infinite-dimensional analysis. Zbl 0864.58062
Arai, Asao
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
1996
Gauge theory on a non-simply connected domain and representations of canonical commutation relations. Zbl 0879.46037
Arai, Asao
1995
Representation of canonical commutation relations in a gauge theory, the Aharonov-Bohm effect, and the Dirac-Weyl operator. Zbl 0936.35143
Arai, A.
1995
Scaling limit of anticommuting selfadjoint operators and applications to Dirac operators. Zbl 0823.47026
Arai, Asao
1995
Operator-theoretical analysis of a representation of a supersymmetry algebra in Hilbert space. Zbl 0836.46069
Arai, Asao
1995
On self-adjointness of Dirac operators in Boson-Fermion Fock spaces. Zbl 0807.47057
Arai, Asao
1994
Analysis on anticommuting self-adjoint operators. Zbl 0816.47021
Arai, Asao
1994
Properties of the Dirac-Weyl operator with a strongly singular gauge potential. Zbl 0809.47057
Arai, Asao
1993
Dirac operators in Boson-Fermion Fock spaces and supersymmetric quantum field theory. Zbl 0807.46086
Arai, Asao
1993
Supersymmetric extension of quantum scalar field theories. Zbl 0859.58003
Arai, Asao
1993
Characterization of anticommutativity of self-adjoint operators in connection with Clifford algebra and applications. Zbl 0810.47019
Arai, Asao
1993
Commutation properties of anticommuting self-adjoint operators, spin representation and Dirac operators. Zbl 0793.47020
Arai, Asao
1993
Comparison and nuclearity of spaces of differential forms on topological vector spaces. Zbl 0788.46049
Arai, Asao; Mitoma, Itaru
1993
A general class of infinite dimensional Dirac operators and path integral representation of their index. Zbl 0803.46082
Arai, Asao
1992
Momentum operators with gauge potentials, local quantization of magnetic flux, and representation of canonical commutation relations. Zbl 0787.47040
Arai, Asao
1992
An abstract sum formula and its applications to special functions. Zbl 0772.47006
Arai, Asao
1992
Exactly solvable supersymmetric quantum mechanics. Zbl 0731.47055
Arai, Asao
1991
De Rham-Hodge-Kodaira decomposition in $$\infty$$-dimensions. Zbl 0762.58004
Arai, Asao; Mitoma, Itaru
1991
A theorem on essential self-adjointness with application to Hamiltonians in nonrelativistic quantum field theory. Zbl 0753.47004
Arai, Asao
1991
Noninvertible Bogoliubov transformations and instability of embedded eigenvalues. Zbl 0741.47016
Arai, Asao
1991
A general class of infinite dimensional Dirac operators and related aspects. Zbl 0799.58005
Arai, Asao
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
1990
Perturbation of embedded eigenvalues: A general class of exactly soluble models in Fock spaces. Zbl 0713.47010
Arai, Asao
1990
A general class of (essentially) iso-spectral perturbations. Zbl 0702.47006
Arai, Asao
1990
A criterion for the boundedness from below with a class of symmetric operators and its applications. Zbl 0701.47009
Arai, Asao
1990
Path integral representation of the index of Kähler-Dirac operators on an infinite dimensional manifold. Zbl 0684.58010
Arai, Asao
1989
Spectral analysis of a quantum harmonic oscillator coupled to infinitely many scalar bosons. Zbl 0667.46049
Arai, Asao
1989
Supersymmetric embedding of a model of a quantum harmonic oscillator interacting with infinitely many bosons. Zbl 0674.58042
Arai, Asao
1989
Existence of infinitely many zero-energy states in a model of supersymmetric quantum mechanics. Zbl 0669.46039
Arai, Asao
1989
On the degeneracy in the ground state of the $$N=2$$ Wess-Zumino supersymmetric quantum mechanics. Zbl 0701.46056
Arai, Asao
1989
Long-time behavior of two-point functions of a quantum harmonic oscillator interacting with bosons. Zbl 0685.46049
Arai, Asao
1989
Formal aspects of supersymmetric embedding of Hamiltonians in quantum scalar field theories. Zbl 0649.58051
Arai, Asao
1988
On dimensional reduction of functional measures. Zbl 0644.28011
Arai, Asao
1988
Asymptotic analysis of fundamental solutions of Dirac operators on even dimensional Euclidean spaces. Zbl 0633.47032
Arai, Asao
1987
Supersymmetry and singular perturbations. Zbl 0553.46047
Arai, Asao
1985
Rigorous theory of spectra and radiation for a model in quantum electrodynamics. Zbl 0944.81055
Arai, Asao
1983
A note on scattering theory in non-relativistic quantum electrodynamics. Zbl 0515.46073
Arai, Asao
1983
On the existence of solution to Schwinger’s functional differential equations of higher order. Zbl 0528.35084
Arai, Asao
1983
On a model of a harmonic oscillator coupled to a quantized, massless, scalar field. I. Zbl 0473.46050
Arai, Asao
1981
Self-adjointness and spectrum of Hamiltonians in nonrelativistic quantum electrodynamics. Zbl 0468.47030
Arai, Asao
1981
On a model of a harmonic oscillator coupled to a quantized, massless, scalar field. II. Zbl 0473.46051
Arai, Asao
1981
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
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#### 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)