Edit Profile Bach, Volker Compute Distance To: Compute Author ID: bach.volker Published as: Bach, V.; Bach, Volker External Links: MGP · Wikidata · GND Documents Indexed: 66 Publications since 1989, including 2 Books all top 5 Co-Authors 14 single-authored 15 Fröhlich, Jürg Martin 12 Sigal, Israel Michael 6 Ballesteros, Miguel 5 Pizzo, Alessandro 4 Siedentop, Heinz Karl Heinrich 3 Barbaroux, Jean-Marie 3 Breteaux, Sébastien 3 Chen, Thomas M. 3 Knörr, Hans Konrad 3 Lieb, Elliott H. 3 Menge, Edmund 3 Schach Møller, Jacob 2 Bru, Jean-Bernard 2 De Siqueira Pedra, Walter 2 Helffer, Bernard 2 Jonsson, Lars-Erik 2 Könenberg, Martin 2 Menrath, Lars 2 Poelchau, Jurij 2 Solovej, Jan Philip 1 Deckert, Dirk-André 1 Dereziński, Jan 1 Faßbender, Heike 1 Faupin, Jérémy 1 Hach, Alexander 1 Hoppe, Jens 1 Iniesta, Diego 1 Jecko, Thierry 1 Klopp, Frédéric 1 Kurig, Carolin 1 Lakaev, Saidakhmat Norjigitovich 1 Lewis, Roger T. 1 Lundholm, Douglas 1 Matte, Oliver 1 Merkli, Marco 1 Petrat, Sören 1 Pickl, Peter 1 Seiler, Ruedi 1 Sjöstrand, Johannes 1 Soffer, Avraham 1 Travaglia, Marcos Vinicio 1 Tzaneteas, Tim 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 4 Advances in Mathematics 4 Documenta Mathematica 3 Journal of Statistical Physics 3 Letters in Mathematical Physics 3 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 3 Journal of Evolution Equations 3 Oberwolfach Reports 2 Journal of Mathematical Analysis and Applications 2 Advances in Theoretical and Mathematical Physics 2 Annales Henri Poincaré 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 53 Quantum theory (81-XX) 18 Operator theory (47-XX) 13 Partial differential equations (35-XX) 12 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) 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 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-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 47 Publications have been cited 862 times in 447 Documents Cited by ▼ Year ▼ Quantum electrodynamics of confined nonrelativistic particles. Zbl 0923.47040Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael 136 1998 Spectral analysis for systems of atoms and molecules coupled to the quantized radiation field. Zbl 0965.81134Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael 104 1999 Renormalization group analysis of spectral problems in quantum field theory. Zbl 0923.47041Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael 74 1998 Generalized Hartree-Fock theory and the Hubbard model. Zbl 0839.60095Bach, Volker; Lieb, Elliott H.; Solovej, Jan Philip 68 1994 Return to equilibrium. Zbl 1037.82029Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael 45 2000 Smooth Feshbach map and operator-theoretic renormalization group methods. Zbl 1060.47028Bach, Volker; Chen, Thomas; Fröhlich, Jürg; Sigal, Israel Michael 41 2003 Error bound for the Hartree-Fock energy of atoms and molecules. Zbl 0771.46038Bach, Volker 40 1992 Infrared-finite algorithms in QED: the groundstate of an atom interacting with the quantized radiation field. Zbl 1118.81083Bach, Volker; Fröhlich, Jürg; Pizzo, Alessandro 39 2006 Positive commutators and the spectrum of Pauli-Fierz Hamiltonian of atoms and molecules. Zbl 0962.81011Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael; Soffer, Avy 34 1999 The renormalized electron mass in non-relativistic quantum electrodynamics. Zbl 1118.81028Bach, Volker; Chen, Thomas; Fröhlich, Jürg; Sigal, Israel Michael 33 2007 Mathematical theory of nonrelativistic matter and radiation. Zbl 0831.47048Bach, V.; Fröhlich, J.; Sigal, I. M. 28 1995 On the stability of the relativistic electron-positron field. Zbl 1024.81056Bach, Volker; Barbaroux, Jean-Marie; Helffer, Bernard; Siedentop, Heinz 21 1999 Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb interaction. Zbl 1333.35221Bach, Volker; Breteaux, Sébastien; Petrat, Sören; Pickl, Peter; Tzaneteas, Tim 18 2016 Correlation at low temperature. I: Exponential decay. Zbl 1031.82003Bach, Volker; Møller, Jacob Schach 12 2003 Infrared-finite algorithms in QED. II. The expansion of the groundstate of an atom interacting with the quantized radiation field. Zbl 1161.81026Bach, Volker; Fröhlich, Jürg; Pizzo, Alessandro 11 2009 An infrared-finite algorithm for Rayleigh scattering amplitudes, and Bohr’s frequency condition. Zbl 1123.81046Bach, Volker; Fröhlich, Jürg; Pizzo, Alessandro 11 2007 Accuracy of mean field approximations for atoms and molecules. Zbl 0802.47061Bach, Volker 11 1993 Ionization energies of bosonic Coulomb systems. Zbl 0725.47049Bach, Volker 11 1991 Existence and construction of resonances for atoms coupled to the quantized radiation field. Zbl 1366.81318Bach, Volker; Ballesteros, Miguel; Pizzo, Alessandro 10 2017 Correlation asymptotics of classical lattice spin systems with nonconvex Hamilton function at low temperature. Zbl 1021.82002Bach, V.; Jecko, T.; Sjöstrand, J. 10 2000 Existence of ground state eigenvalues for the spin-boson model with critical infrared divergence and multiscale analysis. Zbl 1366.81317Bach, Volker; Ballesteros, Miguel; Könenberg, Martin; Menrath, Lars 9 2017 Effective dynamics of an electron coupled to an external potential in non-relativistic QED. Zbl 1275.81091Bach, Volker; Chen, Thomas; Faupin, Jérémy; Fröhlich, Jürg; Sigal, Israel Michael 9 2013 A proof of Scott’s conjecture for ions. Zbl 0732.58042Bach, Volker 9 1989 Mathematical analysis of the photoelectric effect. Zbl 1015.81059Bach, Volker; Klopp, Frédéric; Zenk, Heribert 8 2001 On the number of bound states of a bosonic \(N\)-particle Coulomb system. Zbl 0852.47036Bach, 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 1248.81277Bach, Volker; Fröhlich, Jürg; Jonsson, Lars 7 2009 Bounds on the discrete spectrum of lattice Schrödinger operators. Zbl 1382.81094Bach, V.; de Siqueira Pedra, W.; Lakaev, S. N. 6 2018 Diagonalizing quadratic bosonic operators by non-autonomous flow equation. Zbl 1435.81003Bach, Volker; Bru, Jean-Bernard 6 2016 Continuous renormalization group analysis of spectral problems in quantum field theory. Zbl 1308.81086Bach, Volker; Ballesteros, Miguel; Fröhlich, Jürg 5 2015 Suppression of decoherence by periodic forcing. Zbl 1300.81010Bach, Volker; de Siqueira Pedra, Walter; Merkli, Marco; Sigal, Israel Michael 5 2014 Construction of the ground state in nonrelativistic QED by continuous flows. Zbl 1107.81050Bach, Volker; Könenberg, Martin 5 2006 Rigorous foundations of the Brockett-Wegner flow for operators. Zbl 1239.34067Bach, Volker; Bru, Jean-Bernard 4 2010 Stability of matter for the Hartree-Fock functional of the relativistic electron-positron field. Zbl 0913.35113Bach, Volker; Barbaroux, Jean-Marie; Helffer, Bernard; Siedentop, Heinz 3 1998 Accuracy of the Hartree-Fock approximation for the Hubbard model. Zbl 0883.60100Bach, Volker; Poelchau, Jurij 3 1997 Generalization of Lieb’s variational principle to Bogoliubov-Hartree-Fock theory. Zbl 1295.81146Bach, Volker; Breteaux, Sébastien; Knörr, Hans Konrad; Menge, Edmund 2 2014 Ferromagnetism of the Hubbard model at strong coupling in the Hartree-Fock approximation. Zbl 1125.82031Bach, Volker; Lieb, Elliott H.; Travaglia, Marcos V. 2 2006 Correlation at low temperature. II: Asymptotics. Zbl 1142.82311Bach, Volker; Møller, Jacob Schach 2 2004 Exponential decay of eigenfunctions of the Bethe-Salpeter operator. Zbl 0991.34074Bach, Volker; Matte, Oliver 2 2001 Hartree-Fock Gibbs states for the Hubbard model. Zbl 0878.60076Bach, V.; Poelchau, J. 2 1996 Mathematical density and density matrix functional theory (DFT and DMFT). Zbl 1329.81421Bach, Volker 1 2013 Minimization of the energy of the nonrelativistic one-electron Pauli-Fierz model over quasifree states. Zbl 1291.81401Bach, Volker; Breteaux, Sébastien 1 2013 Fermion correlation inequalities derived from G- and P-conditions. Zbl 1260.81337Bach, Volker; Knörr, Hans Konrad; Menge, Edmund 1 2012 Dynamical symmetries in supersymmetric matrix models. Zbl 1160.81025Bach, V.; Hoppe, J.; Lundholm, D. 1 2008 A tutorial approach to the renormalization group and the smooth Feshbach map. Zbl 1105.81057Bach, V. 1 2006 Return to thermal equilibrium in quantum statistical mechanics. Zbl 1038.82504Bach, Volker 1 2001 QED of confined nonrelativistic particles – new results. Zbl 1253.81133Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael 1 1999 Universality of the Fermi-Hellmann model. Zbl 0737.34042Bach, Volker; Siedentop, Heinz 1 1991 Bounds on the discrete spectrum of lattice Schrödinger operators. Zbl 1382.81094Bach, V.; de Siqueira Pedra, W.; Lakaev, S. N. 6 2018 Existence and construction of resonances for atoms coupled to the quantized radiation field. Zbl 1366.81318Bach, Volker; Ballesteros, Miguel; Pizzo, Alessandro 10 2017 Existence of ground state eigenvalues for the spin-boson model with critical infrared divergence and multiscale analysis. Zbl 1366.81317Bach, Volker; Ballesteros, Miguel; Könenberg, Martin; Menrath, Lars 9 2017 Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb interaction. Zbl 1333.35221Bach, Volker; Breteaux, Sébastien; Petrat, Sören; Pickl, Peter; Tzaneteas, Tim 18 2016 Diagonalizing quadratic bosonic operators by non-autonomous flow equation. Zbl 1435.81003Bach, Volker; Bru, Jean-Bernard 6 2016 Continuous renormalization group analysis of spectral problems in quantum field theory. Zbl 1308.81086Bach, Volker; Ballesteros, Miguel; Fröhlich, Jürg 5 2015 Suppression of decoherence by periodic forcing. Zbl 1300.81010Bach, Volker; de Siqueira Pedra, Walter; Merkli, Marco; Sigal, Israel Michael 5 2014 Generalization of Lieb’s variational principle to Bogoliubov-Hartree-Fock theory. Zbl 1295.81146Bach, Volker; Breteaux, Sébastien; Knörr, Hans Konrad; Menge, Edmund 2 2014 Effective dynamics of an electron coupled to an external potential in non-relativistic QED. Zbl 1275.81091Bach, Volker; Chen, Thomas; Faupin, Jérémy; Fröhlich, Jürg; Sigal, Israel Michael 9 2013 Mathematical density and density matrix functional theory (DFT and DMFT). Zbl 1329.81421Bach, Volker 1 2013 Minimization of the energy of the nonrelativistic one-electron Pauli-Fierz model over quasifree states. Zbl 1291.81401Bach, Volker; Breteaux, Sébastien 1 2013 Fermion correlation inequalities derived from G- and P-conditions. Zbl 1260.81337Bach, Volker; Knörr, Hans Konrad; Menge, Edmund 1 2012 Rigorous foundations of the Brockett-Wegner flow for operators. Zbl 1239.34067Bach, Volker; Bru, Jean-Bernard 4 2010 Infrared-finite algorithms in QED. II. The expansion of the groundstate of an atom interacting with the quantized radiation field. Zbl 1161.81026Bach, Volker; Fröhlich, Jürg; Pizzo, Alessandro 11 2009 Bogolubov-Hartree-Fock mean field theory for neutron stars and other systems with attractive interactions. Zbl 1248.81277Bach, Volker; Fröhlich, Jürg; Jonsson, Lars 7 2009 Dynamical symmetries in supersymmetric matrix models. Zbl 1160.81025Bach, V.; Hoppe, J.; Lundholm, D. 1 2008 The renormalized electron mass in non-relativistic quantum electrodynamics. Zbl 1118.81028Bach, Volker; Chen, Thomas; Fröhlich, Jürg; Sigal, Israel Michael 33 2007 An infrared-finite algorithm for Rayleigh scattering amplitudes, and Bohr’s frequency condition. Zbl 1123.81046Bach, Volker; Fröhlich, Jürg; Pizzo, Alessandro 11 2007 Infrared-finite algorithms in QED: the groundstate of an atom interacting with the quantized radiation field. Zbl 1118.81083Bach, Volker; Fröhlich, Jürg; Pizzo, Alessandro 39 2006 Construction of the ground state in nonrelativistic QED by continuous flows. Zbl 1107.81050Bach, Volker; Könenberg, Martin 5 2006 Ferromagnetism of the Hubbard model at strong coupling in the Hartree-Fock approximation. Zbl 1125.82031Bach, Volker; Lieb, Elliott H.; Travaglia, Marcos V. 2 2006 A tutorial approach to the renormalization group and the smooth Feshbach map. Zbl 1105.81057Bach, V. 1 2006 Correlation at low temperature. II: Asymptotics. Zbl 1142.82311Bach, Volker; Møller, Jacob Schach 2 2004 Smooth Feshbach map and operator-theoretic renormalization group methods. Zbl 1060.47028Bach, Volker; Chen, Thomas; Fröhlich, Jürg; Sigal, Israel Michael 41 2003 Correlation at low temperature. I: Exponential decay. Zbl 1031.82003Bach, Volker; Møller, Jacob Schach 12 2003 Mathematical analysis of the photoelectric effect. Zbl 1015.81059Bach, Volker; Klopp, Frédéric; Zenk, Heribert 8 2001 Exponential decay of eigenfunctions of the Bethe-Salpeter operator. Zbl 0991.34074Bach, Volker; Matte, Oliver 2 2001 Return to thermal equilibrium in quantum statistical mechanics. Zbl 1038.82504Bach, Volker 1 2001 Return to equilibrium. Zbl 1037.82029Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael 45 2000 Correlation asymptotics of classical lattice spin systems with nonconvex Hamilton function at low temperature. Zbl 1021.82002Bach, V.; Jecko, T.; Sjöstrand, J. 10 2000 Spectral analysis for systems of atoms and molecules coupled to the quantized radiation field. Zbl 0965.81134Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael 104 1999 Positive commutators and the spectrum of Pauli-Fierz Hamiltonian of atoms and molecules. Zbl 0962.81011Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael; Soffer, Avy 34 1999 On the stability of the relativistic electron-positron field. Zbl 1024.81056Bach, Volker; Barbaroux, Jean-Marie; Helffer, Bernard; Siedentop, Heinz 21 1999 QED of confined nonrelativistic particles – new results. Zbl 1253.81133Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael 1 1999 Quantum electrodynamics of confined nonrelativistic particles. Zbl 0923.47040Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael 136 1998 Renormalization group analysis of spectral problems in quantum field theory. Zbl 0923.47041Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael 74 1998 Stability of matter for the Hartree-Fock functional of the relativistic electron-positron field. Zbl 0913.35113Bach, Volker; Barbaroux, Jean-Marie; Helffer, Bernard; Siedentop, Heinz 3 1998 Accuracy of the Hartree-Fock approximation for the Hubbard model. Zbl 0883.60100Bach, Volker; Poelchau, Jurij 3 1997 Hartree-Fock Gibbs states for the Hubbard model. Zbl 0878.60076Bach, V.; Poelchau, J. 2 1996 Mathematical theory of nonrelativistic matter and radiation. Zbl 0831.47048Bach, V.; Fröhlich, J.; Sigal, I. M. 28 1995 Generalized Hartree-Fock theory and the Hubbard model. Zbl 0839.60095Bach, Volker; Lieb, Elliott H.; Solovej, Jan Philip 68 1994 Accuracy of mean field approximations for atoms and molecules. Zbl 0802.47061Bach, Volker 11 1993 On the number of bound states of a bosonic \(N\)-particle Coulomb system. Zbl 0852.47036Bach, Volker; Lewis, Roger; Lieb, Elliott H.; Siedentop, Heinz 8 1993 Error bound for the Hartree-Fock energy of atoms and molecules. Zbl 0771.46038Bach, Volker 40 1992 Ionization energies of bosonic Coulomb systems. Zbl 0725.47049Bach, Volker 11 1991 Universality of the Fermi-Hellmann model. Zbl 0737.34042Bach, Volker; Siedentop, Heinz 1 1991 A proof of Scott’s conjecture for ions. Zbl 0732.58042Bach, Volker 9 1989 all cited Publications top 5 cited Publications all top 5 Cited by 357 Authors 43 Fröhlich, Jürg Martin 34 Lewin, Mathieu 31 Bach, Volker 26 Sigal, Israel Michael 23 Hiroshima, Fumio 20 Faupin, Jérémy 20 Hainzl, Christian 15 Pizzo, Alessandro 14 Chen, Thomas M. 13 Griesemer, Marcel 13 Merkli, Marco 13 Schlein, Benjamin 13 Seiringer, Robert 12 Solovej, Jan Philip 11 De Roeck, Wojciech 11 Hasler, David G. 10 Ballesteros, Miguel 10 Dereziński, Jan 10 Schach Møller, Jacob 9 Amour, Laurent 9 Guillot, Jean-Claude 9 Könenberg, Martin 9 Siedentop, Heinz Karl Heinrich 8 Arai, Asao 8 Barbaroux, Jean-Marie 8 Hirokawa, Masao 8 Jakšić, Vojkan 8 Matte, Oliver 8 Pillet, Claude-Alain 8 Spohn, Herbert 7 Lieb, Elliott H. 7 Miyao, Tadahiro 7 Phan Thành Nam 7 Porta, Marcello 6 Herbst, Ira W. 6 Petrat, Sören 6 Séré, Eric 6 Stockmeyer, Edgardo 6 Vugalter, Semjon A. 5 Bruneau, Laurent 5 Deckert, Dirk-André 5 Frank, Rupert L. 5 Gérard, Christian 5 Kupiainen, Antti 5 Lörinczi, József 5 Schubnel, Baptiste 5 Takaesu, Toshimitsu 4 Abdesselam, Abdelmalek 4 Ammari, Zied 4 Benedikter, Niels 4 Bru, Jean-Bernard 4 Falconi, Marco 4 Fournais, Søren 4 Grébert, Benoît 4 Hänle, Felix 4 Loss, Michael 4 Nourrigat, Jean Francois 4 Panati, Annalisa 4 Pickl, Peter 4 Rougerie, Nicolas 4 Sabin, Julien 4 Suzuki, Akito 3 Betz, Volker 3 Billionnet, Claude 3 Bokanowski, Olivier 3 Bräunlich, Gerhard 3 Breteaux, Sébastien 3 Cancès, Eric 3 Catto, Isabelle 3 Chenn, Ilias 3 De Siqueira Pedra, Walter 3 Dybalski, Wojciech 3 Georgescu, Vladimir 3 Gravejat, Philippe 3 Hidaka, Takeru 3 Lakaev, Saidakhmat Norzhigitovich 3 Langmann, Edwin 3 Lemm, Marius 3 Minlos, Robert Adol’fovich 3 Møller, Jacob S. 3 Saffirio, Chiara 3 Salem, Walid Khaled Abou 3 Sasaki, Itaru 3 Skibsted, Erik 3 Soffer, Avraham 3 Vougalter, Vitali 3 Zenk, Heribert 2 Abou-Salem, Walid K. 2 Anapolitanos, Ioannis 2 Aschbacher, Walter H. 2 Benguria, Rafael D. 2 Bertini, Massimo 2 Bony, Jean-François 2 Bourget, Olivier 2 Correggi, Michele 2 Cortés, Víctor H. 2 Dam, Thomas Norman 2 De Bièvre, Stephan 2 de Woul, Jonas 2 Deuchert, Andreas ...and 257 more Authors all top 5 Cited in 73 Serials 67 Journal of Mathematical Physics 59 Communications in Mathematical Physics 40 Journal of Functional Analysis 39 Journal of Statistical Physics 34 Reviews in Mathematical Physics 30 Annales Henri Poincaré 20 Letters in Mathematical Physics 18 Advances in Mathematics 12 Journal of Mathematical Analysis and Applications 9 Archive for Rational Mechanics and Analysis 6 Reports on Mathematical Physics 6 Mathematical Physics, Analysis and Geometry 5 Séminaire Laurent Schwartz. EDP et Applications 4 Communications on Pure and Applied Mathematics 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 Calculus of Variations and Partial Differential Equations 3 Annales de l’Institut Henri Poincaré. Physique Théorique 3 Infinite Dimensional Analysis, Quantum Probability and Related Topics 3 Journal of Evolution Equations 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 International Journal of Modern Physics B 2 Physics Reports 2 Integral Equations and Operator Theory 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 Transactions of the American Mathematical Society 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Communications in Partial Differential Equations 2 SIAM Journal on Mathematical Analysis 2 Bulletin of the American Mathematical Society. New Series 2 St. Petersburg Mathematical Journal 2 Advances in Mathematical Physics 2 Journal de l’École Polytechnique – Mathématiques 2 Pure and Applied Analysis 1 International Journal of Modern Physics A 1 Applicable Analysis 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 International Journal of Mathematics and Mathematical Sciences 1 Journal of Differential Equations 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 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 New Journal of Physics 1 Journal of the European Mathematical Society (JEMS) 1 Physical Review Letters 1 Quantum Information Processing 1 Journal of Hyperbolic Differential Equations 1 Journal of Statistical Mechanics: Theory and Experiment 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Complex Analysis and Operator Theory 1 Journal of Physics A: Mathematical and Theoretical 1 Analysis & PDE 1 Journal of Pseudo-Differential Operators and Applications 1 Kyoto Journal of Mathematics 1 Bulletin of Mathematical Sciences 1 Tunisian Journal of Mathematics all top 5 Cited in 33 Fields 361 Quantum theory (81-XX) 149 Statistical mechanics, structure of matter (82-XX) 125 Partial differential equations (35-XX) 102 Operator theory (47-XX) 35 Functional analysis (46-XX) 24 Probability theory and stochastic processes (60-XX) 13 Optics, electromagnetic theory (78-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Global analysis, analysis on manifolds (58-XX) 7 Ordinary differential equations (34-XX) 7 Mechanics of particles and systems (70-XX) 6 Functions of a complex variable (30-XX) 6 Difference and functional equations (39-XX) 5 Astronomy and astrophysics (85-XX) 3 Differential geometry (53-XX) 3 Fluid mechanics (76-XX) 3 Relativity and gravitational theory (83-XX) 3 Information and communication theory, circuits (94-XX) 2 Combinatorics (05-XX) 2 Measure and integration (28-XX) 2 Integral equations (45-XX) 2 Statistics (62-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-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. 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