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Author ID: arai.asao Recent zbMATH articles by "Arai, Asao"
Published as: Arai, Asao; Arai, A.
External Links: ResearchGate · Math-Net.Ru

Publications by Year

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 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