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Author ID: bach.volker Recent zbMATH articles by "Bach, Volker"
Published as: Bach, Volker; Bach, V.
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Publications by Year

Citations contained in zbMATH Open

54 Publications have been cited 1,027 times in 532 Documents Cited by Year
Quantum electrodynamics of confined nonrelativistic particles. Zbl 0923.47040
Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael
152
1998
Spectral analysis for systems of atoms and molecules coupled to the quantized radiation field. Zbl 0965.81134
Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael
110
1999
Renormalization group analysis of spectral problems in quantum field theory. Zbl 0923.47041
Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael
89
1998
Generalized Hartree-Fock theory and the Hubbard model. Zbl 0839.60095
Bach, Volker; Lieb, Elliott H.; Solovej, Jan Philip
84
1994
Error bound for the Hartree-Fock energy of atoms and molecules. Zbl 0771.46038
Bach, Volker
54
1992
Return to equilibrium. Zbl 1037.82029
Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael
52
2000
Infrared-finite algorithms in QED: the groundstate of an atom interacting with the quantized radiation field. Zbl 1118.81083
Bach, Volker; Fröhlich, Jürg; Pizzo, Alessandro
44
2006
Smooth Feshbach map and operator-theoretic renormalization group methods. Zbl 1060.47028
Bach, Volker; Chen, Thomas; Fröhlich, Jürg; Sigal, Israel Michael
44
2003
The renormalized electron mass in non-relativistic quantum electrodynamics. Zbl 1118.81028
Bach, Volker; Chen, Thomas; Fröhlich, Jürg; Sigal, Israel Michael
37
2007
Positive commutators and the spectrum of Pauli-Fierz Hamiltonian of atoms and molecules. Zbl 0962.81011
Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael; Soffer, Avy
37
1999
Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb interaction. Zbl 1333.35221
Bach, Volker; Breteaux, Sébastien; Petrat, Sören; Pickl, Peter; Tzaneteas, Tim
29
2016
Mathematical theory of nonrelativistic matter and radiation. Zbl 0831.47048
Bach, V.; Fröhlich, J.; Sigal, I. M.
27
1995
On the stability of the relativistic electron-positron field. Zbl 1024.81056
Bach, Volker; Barbaroux, Jean-Marie; Helffer, Bernard; Siedentop, Heinz
25
1999
Bounds on the discrete spectrum of lattice Schrödinger operators. Zbl 1382.81094
Bach, V.; de Siqueira Pedra, W.; Lakaev, S. N.
19
2018
Infrared-finite algorithms in QED. II. The expansion of the groundstate of an atom interacting with the quantized radiation field. Zbl 1161.81026
Bach, Volker; Fröhlich, Jürg; Pizzo, Alessandro
16
2009
Accuracy of mean field approximations for atoms and molecules. Zbl 0802.47061
Bach, Volker
16
1993
Existence and construction of resonances for atoms coupled to the quantized radiation field. Zbl 1366.81318
Bach, Volker; Ballesteros, Miguel; Pizzo, Alessandro
13
2017
Ionization energies of bosonic Coulomb systems. Zbl 0725.47049
Bach, Volker
12
1991
Existence of ground state eigenvalues for the spin-boson model with critical infrared divergence and multiscale analysis. Zbl 1366.81317
Bach, Volker; Ballesteros, Miguel; Könenberg, Martin; Menrath, Lars
12
2017
Correlation at low temperature. I: Exponential decay. Zbl 1031.82003
Bach, Volker; Møller, Jacob Schach
12
2003
An infrared-finite algorithm for Rayleigh scattering amplitudes, and Bohr’s frequency condition. Zbl 1123.81046
Bach, Volker; Fröhlich, Jürg; Pizzo, Alessandro
11
2007
Effective dynamics of an electron coupled to an external potential in non-relativistic QED. Zbl 1275.81091
Bach, Volker; Chen, Thomas; Faupin, Jérémy; Fröhlich, Jürg; Sigal, Israel Michael
11
2013
Correlation asymptotics of classical lattice spin systems with nonconvex Hamilton function at low temperature. Zbl 1021.82002
Bach, V.; Jecko, T.; Sjöstrand, J.
10
2000
A proof of Scott’s conjecture for ions. Zbl 0732.58042
Bach, Volker
10
1989
Diagonalizing quadratic bosonic operators by non-autonomous flow equation. Zbl 1435.81003
Bach, Volker; Bru, Jean-Bernard
10
2016
The time-dependent Hartree-Fock-Bogoliubov equations for bosons. Zbl 1511.35297
Bach, Volker; Breteaux, Sebastien; Chen, Thomas; Fröhlich, Jürg; Sigal, Israel Michael
9
2022
Mathematical analysis of the photoelectric effect. Zbl 1015.81059
Bach, Volker; Klopp, Frédéric; Zenk, Heribert
8
2001
On the number of bound states of a bosonic \(N\)-particle Coulomb system. Zbl 0852.47036
Bach, Volker; Lewis, Roger; Lieb, Elliott H.; Siedentop, Heinz
8
1993
Bogolubov-Hartree-Fock mean field theory for neutron stars and other systems with attractive interactions. Zbl 1248.81277
Bach, Volker; Fröhlich, Jürg; Jonsson, Lars
7
2009
Continuous renormalization group analysis of spectral problems in quantum field theory. Zbl 1308.81086
Bach, Volker; Ballesteros, Miguel; Fröhlich, Jürg
6
2015
Rigorous foundations of the Brockett-Wegner flow for operators. Zbl 1239.34067
Bach, Volker; Bru, Jean-Bernard
5
2010
Construction of the ground state in nonrelativistic QED by continuous flows. Zbl 1107.81050
Bach, Volker; Könenberg, Martin
5
2006
Suppression of decoherence by periodic forcing. Zbl 1300.81010
Bach, Volker; de Siqueira Pedra, Walter; Merkli, Marco; Sigal, Israel Michael
5
2014
Stability of matter for the Hartree-Fock functional of the relativistic electron-positron field. Zbl 0913.35113
Bach, Volker; Barbaroux, Jean-Marie; Helffer, Bernard; Siedentop, Heinz
4
1998
Generalization of Lieb’s variational principle to Bogoliubov-Hartree-Fock theory. Zbl 1295.81146
Bach, Volker; Breteaux, Sébastien; Knörr, Hans Konrad; Menge, Edmund
4
2014
Ferromagnetism of the Hubbard model at strong coupling in the Hartree-Fock approximation. Zbl 1125.82031
Bach, Volker; Lieb, Elliott H.; Travaglia, Marcos V.
3
2006
Accuracy of the Hartree-Fock approximation for the Hubbard model. Zbl 0883.60100
Bach, Volker; Poelchau, Jurij
3
1997
Hartree-Fock theory, Lieb’s variational principle, and their generalizations. Zbl 1500.81049
Bach, Volker
3
2022
Correlation at low temperature. II: Asymptotics. Zbl 1142.82311
Bach, Volker; Møller, Jacob Schach
2
2004
Exponential decay of eigenfunctions of the Bethe-Salpeter operator. Zbl 0991.34074
Bach, Volker; Matte, Oliver
2
2001
Hartree-Fock Gibbs states for the Hubbard model. Zbl 0878.60076
Bach, V.; Poelchau, J.
2
1996
A new method of construction of resonances that applies to critical models. Zbl 1479.81040
Bach, Volker; Ballesteros, Miguel; Iniesta, Diego; Pizzo, Alessandro
2
2021
Minimization of the energy of the nonrelativistic one-electron Pauli-Fierz model over quasifree states. Zbl 1291.81401
Bach, Volker; Breteaux, Sébastien; Tzaneteas, Tim
2
2013
Dynamical symmetries in supersymmetric matrix models. Zbl 1160.81025
Bach, V.; Hoppe, J.; Lundholm, D.
1
2008
Fermion correlation inequalities derived from G- and P-conditions. Zbl 1260.81337
Bach, Volker; Knörr, Hans Konrad; Menge, Edmund
1
2012
Return to thermal equilibrium in quantum statistical mechanics. Zbl 1038.82504
Bach, Volker
1
2001
A tutorial approach to the renormalization group and the smooth Feshbach map. Zbl 1105.81057
Bach, V.
1
2006
Universality of the Fermi-Hellmann model. Zbl 0737.34042
Bach, Volker; Siedentop, Heinz
1
1991
Mathematical density and density matrix functional theory (DFT and DMFT). Zbl 1329.81421
Bach, Volker
1
2013
On the ultraviolet limit of the Pauli-Fierz Hamiltonian in the Lieb-Loss model. Zbl 1497.81103
Bach, Volker; Hach, Alexander
1
2022
Mass renormalization in nonrelativistic quantum electrodynamics. Zbl 1309.81290
Bach, Volker
1
2012
A new approach to continuous multi-scale analysis in nonrelativistic QED: ground states and photon number bounds for the spin-boson model with critical infrared singularity. Zbl 1397.81466
Bach, Volker; Ballesteros, Miguel; Menrath, Lars
1
2018
QED of confined nonrelativistic particles – new results. Zbl 1253.81133
Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael
1
1999
Special issue: 87th annual meeting of the International Association of Applied Mathematics and Mechanics (GAMM) and Deutsche Mathematiker-Vereinigung (DMV), Braunschweig, Germany, March 7–11, 2016. Zbl 1416.74005
1
2016
The time-dependent Hartree-Fock-Bogoliubov equations for bosons. Zbl 1511.35297
Bach, Volker; Breteaux, Sebastien; Chen, Thomas; Fröhlich, Jürg; Sigal, Israel Michael
9
2022
Hartree-Fock theory, Lieb’s variational principle, and their generalizations. Zbl 1500.81049
Bach, Volker
3
2022
On the ultraviolet limit of the Pauli-Fierz Hamiltonian in the Lieb-Loss model. Zbl 1497.81103
Bach, Volker; Hach, Alexander
1
2022
A new method of construction of resonances that applies to critical models. Zbl 1479.81040
Bach, Volker; Ballesteros, Miguel; Iniesta, Diego; Pizzo, Alessandro
2
2021
Bounds on the discrete spectrum of lattice Schrödinger operators. Zbl 1382.81094
Bach, V.; de Siqueira Pedra, W.; Lakaev, S. N.
19
2018
A new approach to continuous multi-scale analysis in nonrelativistic QED: ground states and photon number bounds for the spin-boson model with critical infrared singularity. Zbl 1397.81466
Bach, Volker; Ballesteros, Miguel; Menrath, Lars
1
2018
Existence and construction of resonances for atoms coupled to the quantized radiation field. Zbl 1366.81318
Bach, Volker; Ballesteros, Miguel; Pizzo, Alessandro
13
2017
Existence of ground state eigenvalues for the spin-boson model with critical infrared divergence and multiscale analysis. Zbl 1366.81317
Bach, Volker; Ballesteros, Miguel; Könenberg, Martin; Menrath, Lars
12
2017
Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb interaction. Zbl 1333.35221
Bach, Volker; Breteaux, Sébastien; Petrat, Sören; Pickl, Peter; Tzaneteas, Tim
29
2016
Diagonalizing quadratic bosonic operators by non-autonomous flow equation. Zbl 1435.81003
Bach, Volker; Bru, Jean-Bernard
10
2016
Special issue: 87th annual meeting of the International Association of Applied Mathematics and Mechanics (GAMM) and Deutsche Mathematiker-Vereinigung (DMV), Braunschweig, Germany, March 7–11, 2016. Zbl 1416.74005
1
2016
Continuous renormalization group analysis of spectral problems in quantum field theory. Zbl 1308.81086
Bach, Volker; Ballesteros, Miguel; Fröhlich, Jürg
6
2015
Suppression of decoherence by periodic forcing. Zbl 1300.81010
Bach, Volker; de Siqueira Pedra, Walter; Merkli, Marco; Sigal, Israel Michael
5
2014
Generalization of Lieb’s variational principle to Bogoliubov-Hartree-Fock theory. Zbl 1295.81146
Bach, Volker; Breteaux, Sébastien; Knörr, Hans Konrad; Menge, Edmund
4
2014
Effective dynamics of an electron coupled to an external potential in non-relativistic QED. Zbl 1275.81091
Bach, Volker; Chen, Thomas; Faupin, Jérémy; Fröhlich, Jürg; Sigal, Israel Michael
11
2013
Minimization of the energy of the nonrelativistic one-electron Pauli-Fierz model over quasifree states. Zbl 1291.81401
Bach, Volker; Breteaux, Sébastien; Tzaneteas, Tim
2
2013
Mathematical density and density matrix functional theory (DFT and DMFT). Zbl 1329.81421
Bach, Volker
1
2013
Fermion correlation inequalities derived from G- and P-conditions. Zbl 1260.81337
Bach, Volker; Knörr, Hans Konrad; Menge, Edmund
1
2012
Mass renormalization in nonrelativistic quantum electrodynamics. Zbl 1309.81290
Bach, Volker
1
2012
Rigorous foundations of the Brockett-Wegner flow for operators. Zbl 1239.34067
Bach, Volker; Bru, Jean-Bernard
5
2010
Infrared-finite algorithms in QED. II. The expansion of the groundstate of an atom interacting with the quantized radiation field. Zbl 1161.81026
Bach, Volker; Fröhlich, Jürg; Pizzo, Alessandro
16
2009
Bogolubov-Hartree-Fock mean field theory for neutron stars and other systems with attractive interactions. Zbl 1248.81277
Bach, Volker; Fröhlich, Jürg; Jonsson, Lars
7
2009
Dynamical symmetries in supersymmetric matrix models. Zbl 1160.81025
Bach, V.; Hoppe, J.; Lundholm, D.
1
2008
The renormalized electron mass in non-relativistic quantum electrodynamics. Zbl 1118.81028
Bach, Volker; Chen, Thomas; Fröhlich, Jürg; Sigal, Israel Michael
37
2007
An infrared-finite algorithm for Rayleigh scattering amplitudes, and Bohr’s frequency condition. Zbl 1123.81046
Bach, Volker; Fröhlich, Jürg; Pizzo, Alessandro
11
2007
Infrared-finite algorithms in QED: the groundstate of an atom interacting with the quantized radiation field. Zbl 1118.81083
Bach, Volker; Fröhlich, Jürg; Pizzo, Alessandro
44
2006
Construction of the ground state in nonrelativistic QED by continuous flows. Zbl 1107.81050
Bach, Volker; Könenberg, Martin
5
2006
Ferromagnetism of the Hubbard model at strong coupling in the Hartree-Fock approximation. Zbl 1125.82031
Bach, Volker; Lieb, Elliott H.; Travaglia, Marcos V.
3
2006
A tutorial approach to the renormalization group and the smooth Feshbach map. Zbl 1105.81057
Bach, V.
1
2006
Correlation at low temperature. II: Asymptotics. Zbl 1142.82311
Bach, Volker; Møller, Jacob Schach
2
2004
Smooth Feshbach map and operator-theoretic renormalization group methods. Zbl 1060.47028
Bach, Volker; Chen, Thomas; Fröhlich, Jürg; Sigal, Israel Michael
44
2003
Correlation at low temperature. I: Exponential decay. Zbl 1031.82003
Bach, Volker; Møller, Jacob Schach
12
2003
Mathematical analysis of the photoelectric effect. Zbl 1015.81059
Bach, Volker; Klopp, Frédéric; Zenk, Heribert
8
2001
Exponential decay of eigenfunctions of the Bethe-Salpeter operator. Zbl 0991.34074
Bach, Volker; Matte, Oliver
2
2001
Return to thermal equilibrium in quantum statistical mechanics. Zbl 1038.82504
Bach, Volker
1
2001
Return to equilibrium. Zbl 1037.82029
Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael
52
2000
Correlation asymptotics of classical lattice spin systems with nonconvex Hamilton function at low temperature. Zbl 1021.82002
Bach, V.; Jecko, T.; Sjöstrand, J.
10
2000
Spectral analysis for systems of atoms and molecules coupled to the quantized radiation field. Zbl 0965.81134
Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael
110
1999
Positive commutators and the spectrum of Pauli-Fierz Hamiltonian of atoms and molecules. Zbl 0962.81011
Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael; Soffer, Avy
37
1999
On the stability of the relativistic electron-positron field. Zbl 1024.81056
Bach, Volker; Barbaroux, Jean-Marie; Helffer, Bernard; Siedentop, Heinz
25
1999
QED of confined nonrelativistic particles – new results. Zbl 1253.81133
Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael
1
1999
Quantum electrodynamics of confined nonrelativistic particles. Zbl 0923.47040
Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael
152
1998
Renormalization group analysis of spectral problems in quantum field theory. Zbl 0923.47041
Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael
89
1998
Stability of matter for the Hartree-Fock functional of the relativistic electron-positron field. Zbl 0913.35113
Bach, Volker; Barbaroux, Jean-Marie; Helffer, Bernard; Siedentop, Heinz
4
1998
Accuracy of the Hartree-Fock approximation for the Hubbard model. Zbl 0883.60100
Bach, Volker; Poelchau, Jurij
3
1997
Hartree-Fock Gibbs states for the Hubbard model. Zbl 0878.60076
Bach, V.; Poelchau, J.
2
1996
Mathematical theory of nonrelativistic matter and radiation. Zbl 0831.47048
Bach, V.; Fröhlich, J.; Sigal, I. M.
27
1995
Generalized Hartree-Fock theory and the Hubbard model. Zbl 0839.60095
Bach, Volker; Lieb, Elliott H.; Solovej, Jan Philip
84
1994
Accuracy of mean field approximations for atoms and molecules. Zbl 0802.47061
Bach, Volker
16
1993
On the number of bound states of a bosonic \(N\)-particle Coulomb system. Zbl 0852.47036
Bach, Volker; Lewis, Roger; Lieb, Elliott H.; Siedentop, Heinz
8
1993
Error bound for the Hartree-Fock energy of atoms and molecules. Zbl 0771.46038
Bach, Volker
54
1992
Ionization energies of bosonic Coulomb systems. Zbl 0725.47049
Bach, Volker
12
1991
Universality of the Fermi-Hellmann model. Zbl 0737.34042
Bach, Volker; Siedentop, Heinz
1
1991
A proof of Scott’s conjecture for ions. Zbl 0732.58042
Bach, Volker
10
1989
all top 5

Cited by 426 Authors

45 Fröhlich, Jürg Martin
38 Lewin, Mathieu
34 Bach, Volker
29 Sigal, Israel Michael
24 Hainzl, Christian
24 Hiroshima, Fumio
22 Faupin, Jérémy
17 Schlein, Benjamin
16 Chen, Thomas
16 Hasler, David G.
16 Pizzo, Alessandro
15 Merkli, Marco
15 Seiringer, Robert
13 Griesemer, Marcel
13 Møller, Jacob Schach
13 Phan Thành Nam
11 De Roeck, Wojciech
11 Porta, Marcello
11 Solovej, Jan Philip
10 Amour, Laurent
10 Ballesteros, Miguel
10 Guillot, Jean-Claude
10 Siedentop, Heinz Karl Heinrich
9 Arai, Asao
9 Barbaroux, Jean-Marie
9 Dereziński, Jan
9 Jakšić, Vojkan
9 Könenberg, Martin
9 Matte, Oliver
9 Pillet, Claude-Alain
8 Frank, Rupert L.
8 Hirokawa, Masao
8 Petrat, Sören
8 Séré, Eric
7 Benedikter, Niels
7 Lieb, Elliott Hershel
7 Rougerie, Nicolas
7 Spohn, Herbert
7 Vugal’ter, Semën Abramovich
6 Herbst, Ira W.
6 Lakaev, Saidakhmat Norzhigitovich
6 Miyao, Tadahiro
6 Pickl, Peter
6 Stockmeyer, Edgardo
5 Breteaux, Sébastien
5 Bru, Jean-Bernard
5 Bruneau, Laurent
5 Deckert, Dirk-André
5 Dybalski, Wojciech
5 Falconi, Marco
5 Gérard, Christian
5 Kupiainen, Antti
5 Lörinczi, József
5 Nourrigat, Jean Francois
5 Schubnel, Baptiste
5 Siebert, Oliver
5 Soffer, Avraham
5 Takaesu, Toshimitsu
4 Abdesselam, Abdelmalek
4 Ammari, Zied
4 Christiansen, Martin Ravn
4 Fournais, Søren
4 Grébert, Benoît
4 Hänle, Felix
4 Hidaka, Takeru
4 Panati, Annalisa
4 Sabin, Julien
4 Saffirio, Chiara
4 Sasaki, Itaru
4 Suzuki, Akito
3 Almuratov, Firdavsjon M.
3 Anapolitanos, Ioannis
3 Betz, Volker
3 Billionnet, Claude
3 Boltaev, A. T.
3 Bräunlich, Gerhard
3 Cancès, Eric
3 Catto, Isabelle
3 Chen, Li
3 Chenn, Ilias
3 Georgescu, Vladimir
3 Gontier, David
3 Gravejat, Philippe
3 Hinrichs, Benjamin
3 Hundertmark, Dirk
3 Ivrii, Victor Ja.
3 Knowles, Antti
3 Lafleche, Laurent
3 Langmann, Edwin
3 Lee, Jinyeop
3 Lemm, Marius
3 Liew, Matthew
3 Loss, Michael
3 Minlos, Robert Adol’fovich
3 Skibsted, Erik
3 Triay, Arnaud
3 Vougalter, Vitali
3 Zenk, Heribert
2 Abdukhakimov, S. Kh.
2 Aschbacher, Walter H.
...and 326 more Authors
all top 5

Cited in 91 Serials

77 Journal of Mathematical Physics
66 Communications in Mathematical Physics
43 Annales Henri Poincaré
41 Journal of Statistical Physics
39 Journal of Functional Analysis
36 Reviews in Mathematical Physics
23 Letters in Mathematical Physics
19 Advances in Mathematics
14 Journal of Mathematical Analysis and Applications
10 Archive for Rational Mechanics and Analysis
6 Mathematical Physics, Analysis and Geometry
6 Lobachevskii Journal of Mathematics
5 Calculus of Variations and Partial Differential Equations
5 Séminaire Laurent Schwartz. EDP et Applications
4 Communications on Pure and Applied Mathematics
4 Reports on Mathematical Physics
4 Theoretical and Mathematical Physics
4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Journal of Evolution Equations
4 Analysis & PDE
4 Pure and Applied Analysis
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Communications in Partial Differential Equations
3 Annales de l’Institut Henri Poincaré. Physique Théorique
3 Infinite Dimensional Analysis, Quantum Probability and Related Topics
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Journal of Physics A: Mathematical and Theoretical
3 Journal de l’École Polytechnique – Mathématiques
2 International Journal of Modern Physics B
2 Physics Reports
2 Integral Equations and Operator Theory
2 Inventiones Mathematicae
2 Journal of Differential Equations
2 Mathematische Zeitschrift
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Quarterly of Applied Mathematics
2 Transactions of the American Mathematical Society
2 Annals of Physics
2 SIAM Journal on Mathematical Analysis
2 Bulletin of the American Mathematical Society. New Series
2 St. Petersburg Mathematical Journal
2 Documenta Mathematica
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Complex Analysis and Operator Theory
2 Advances in Mathematical Physics
2 Journal of Spectral Theory
1 International Journal of Modern Physics A
1 Applicable Analysis
1 Nonlinearity
1 Nuclear Physics. B
1 Russian Mathematical Surveys
1 Journal of Geometry and Physics
1 Acta Mathematica
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Duke Mathematical Journal
1 Hokkaido Mathematical Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Mathematical Economics
1 Memoirs of the American Mathematical Society
1 Proceedings of the American Mathematical Society
1 Transactions of the Moscow Mathematical Society
1 Advances in Applied Mathematics
1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
1 Applied Mathematics Letters
1 Journal of the American Mathematical Society
1 Sugaku Expositions
1 Stochastic Processes and their Applications
1 Mémoires de la Société Mathématique de France. Nouvelle Série
1 Journal of Nonlinear Science
1 Kyushu Journal of Mathematics
1 Discrete and Continuous Dynamical Systems
1 Mathematical and Computer Modelling of Dynamical Systems
1 New Journal of Physics
1 Journal of the European Mathematical Society (JEMS)
1 Physical Review Letters
1 Communications on Pure and Applied Analysis
1 Quantum Information Processing
1 Journal of Hyperbolic Differential Equations
1 Journal of Statistical Mechanics: Theory and Experiment
1 Boundary Value Problems
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 The European Physical Journal B. Condensed Matter and Complex Systems
1 Journal of Pseudo-Differential Operators and Applications
1 Kyoto Journal of Mathematics
1 Bulletin of Mathematical Sciences
1 Forum of Mathematics, Pi
1 Quanta
1 EMS Surveys in Mathematical Sciences
1 Tunisian Journal of Mathematics
all top 5

Cited in 40 Fields

431 Quantum theory (81-XX)
181 Statistical mechanics, structure of matter (82-XX)
179 Partial differential equations (35-XX)
120 Operator theory (47-XX)
45 Functional analysis (46-XX)
28 Probability theory and stochastic processes (60-XX)
17 Optics, electromagnetic theory (78-XX)
13 Calculus of variations and optimal control; optimization (49-XX)
13 Global analysis, analysis on manifolds (58-XX)
13 Mechanics of particles and systems (70-XX)
12 Dynamical systems and ergodic theory (37-XX)
9 Difference and functional equations (39-XX)
8 Ordinary differential equations (34-XX)
7 Functions of a complex variable (30-XX)
6 Statistics (62-XX)
5 Astronomy and astrophysics (85-XX)
4 Differential geometry (53-XX)
4 Fluid mechanics (76-XX)
4 Classical thermodynamics, heat transfer (80-XX)
3 Relativity and gravitational theory (83-XX)
3 Information and communication theory, circuits (94-XX)
2 Combinatorics (05-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Group theory and generalizations (20-XX)
2 Measure and integration (28-XX)
2 Integral equations (45-XX)
2 Mechanics of deformable solids (74-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Algebraic geometry (14-XX)
1 Topological groups, Lie groups (22-XX)
1 Potential theory (31-XX)
1 Approximations and expansions (41-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral transforms, operational calculus (44-XX)
1 Convex and discrete geometry (52-XX)
1 General topology (54-XX)
1 Numerical analysis (65-XX)
1 Computer science (68-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year

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