Edit Profile (opens in new tab) Bach, Volker Co-Author Distance Author ID: bach.volker Published as: Bach, Volker; Bach, V. External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 72 Publications since 1989, including 1 Book and 6 Additional arXiv Preprints 4 Contributions as Editor Co-Authors: 46 Co-Authors with 60 Joint Publications 966 Co-Co-Authors all top 5 Co-Authors 15 single-authored 17 Fröhlich, Jürg Martin 14 Sigal, Israel Michael 6 Ballesteros, Miguel 6 Breteaux, Sébastien 5 Chen, Thomas 5 Pizzo, Alessandro 4 Knörr, Hans Konrad 4 Menge, Edmund 4 Siedentop, Heinz Karl Heinrich 3 Barbaroux, Jean-Marie 3 Lieb, Elliott Hershel 3 Møller, Jacob Schach 2 Bru, Jean-Bernard 2 De Siqueira Pedra, Walter 2 Hach, Alexander 2 Helffer, Bernard 2 Jonsson, Lars-Erik 2 Könenberg, Martin 2 Menrath, Lars 2 Poelchau, Jurij 2 Rauch, Robert 2 Solovej, Jan Philip 2 Tzaneteas, Tim 1 Deckert, Dirk-André 1 Delle Site, Luigi 1 Dereziński, Jan 1 Faßbender, Heike 1 Faupin, Jérémy 1 Hoppe, Jens 1 Iniesta, Diego 1 Jecko, Thierry 1 Klopp, Frédéric 1 Kurig, Carolin 1 Lewis, Roger T. 1 Lundholm, Douglas 1 Matte, Oliver 1 Merkli, Marco 1 Pedra, W.de Siqueira 1 Petrat, Sören 1 Pickl, Peter 1 Seiler, Ruedi 1 Sjöstrand, Johannes 1 Soffer, Avraham 1 Travaglia, Marcos Vinicio 1 Urban, Karsten 1 Zenk, Heribert all top 5 Serials 7 Communications in Mathematical Physics 6 Journal of Mathematical Physics 5 Journal of Functional Analysis 5 Documenta Mathematica 4 Advances in Mathematics 4 Journal of Evolution Equations 3 Journal of Statistical Physics 3 Letters in Mathematical Physics 3 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 3 Annales Henri Poincaré 3 Oberwolfach Reports 2 Journal of Mathematical Analysis and Applications 2 Advances in Theoretical and Mathematical Physics 1 IEEE Transactions on Information Theory 1 Reports on Mathematical Physics 1 Reviews in Mathematical Physics 1 Journal of Differential Equations 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Random Operators and Stochastic Equations 1 Markov Processes and Related Fields 1 PAMM. Proceedings in Applied Mathematics and Mechanics all top 5 Fields 59 Quantum theory (81-XX) 19 Operator theory (47-XX) 14 Partial differential equations (35-XX) 14 Statistical mechanics, structure of matter (82-XX) 4 General and overarching topics; collections (00-XX) 4 Probability theory and stochastic processes (60-XX) 3 Ordinary differential equations (34-XX) 3 Mathematics education (97-XX) 2 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.