## Bach, Volker

Compute Distance To:
 Author ID: bach.volker Published as: Bach, Volker; Bach, V. External Links: MGP · Wikidata · GND
 Documents Indexed: 64 Publications since 1989, including 1 Book 4 Contributions as Editor Co-Authors: 42 Co-Authors with 53 Joint Publications 805 Co-Co-Authors
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### Co-Authors

 14 single-authored 16 Fröhlich, Jürg Martin 13 Sigal, Israel Michael 6 Ballesteros, Miguel 5 Pizzo, Alessandro 4 Breteaux, Sébastien 4 Chen, Thomas M. 4 Siedentop, Heinz Karl Heinrich 3 Barbaroux, Jean-Marie 3 Knörr, Hans Konrad 3 Lieb, Elliott Hershel 3 Menge, Edmund 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 Solovej, Jan Philip 2 Tzaneteas, Tim 1 Deckert, Dirk-André 1 Dereziński, Jan 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 Petrat, Sören 1 Pickl, Peter 1 Seiler, Ruedi 1 Sjöstrand, Johannes 1 Soffer, Avraham 1 Travaglia, Marcos Vinicio 1 Urban, Karsten 1 Zenk, Heribert
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### Serials

 7 Communications in Mathematical Physics 6 Journal of Mathematical Physics 5 Journal of Functional Analysis 4 Advances in Mathematics 4 Documenta Mathematica 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
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### Fields

 54 Quantum theory (81-XX) 18 Operator theory (47-XX) 14 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)

### Citations contained in zbMATH Open

48 Publications have been cited 903 times in 468 Documents Cited by Year
Quantum electrodynamics of confined nonrelativistic particles. Zbl 0923.47040
Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael
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
1999
Renormalization group analysis of spectral problems in quantum field theory. Zbl 0923.47041
Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael
1998
Generalized Hartree-Fock theory and the Hubbard model. Zbl 0839.60095
Bach, Volker; Lieb, Elliott H.; Solovej, Jan Philip
1994
Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael
2000
Error bound for the Hartree-Fock energy of atoms and molecules. Zbl 0771.46038
Bach, Volker
1992
Smooth Feshbach map and operator-theoretic renormalization group methods. Zbl 1060.47028
Bach, Volker; Chen, Thomas; Fröhlich, Jürg; Sigal, Israel Michael
2003
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
2006
The renormalized electron mass in non-relativistic quantum electrodynamics. Zbl 1118.81028
Bach, Volker; Chen, Thomas; Fröhlich, Jürg; Sigal, Israel Michael
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
1999
Mathematical theory of nonrelativistic matter and radiation. Zbl 0831.47048
Bach, V.; Fröhlich, J.; Sigal, I. M.
1995
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
2016
On the stability of the relativistic electron-positron field. Zbl 1024.81056
Bach, Volker; Barbaroux, Jean-Marie; Helffer, Bernard; Siedentop, Heinz
1999
Accuracy of mean field approximations for atoms and molecules. Zbl 0802.47061
Bach, Volker
1993
Correlation at low temperature. I: Exponential decay. Zbl 1031.82003
Bach, Volker; Møller, Jacob Schach
2003
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
2009
Ionization energies of bosonic Coulomb systems. Zbl 0725.47049
Bach, Volker
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
2017
Correlation asymptotics of classical lattice spin systems with nonconvex Hamilton function at low temperature. Zbl 1021.82002
Bach, V.; Jecko, T.; Sjöstrand, J.
2000
An infrared-finite algorithm for Rayleigh scattering amplitudes, and Bohr’s frequency condition. Zbl 1123.81046
Bach, Volker; Fröhlich, Jürg; Pizzo, Alessandro
2007
A proof of Scott’s conjecture for ions. Zbl 0732.58042
Bach, Volker
1989
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
2013
Bounds on the discrete spectrum of lattice Schrödinger operators. Zbl 1382.81094
Bach, V.; de Siqueira Pedra, W.; Lakaev, S. N.
2018
Existence and construction of resonances for atoms coupled to the quantized radiation field. Zbl 1366.81318
Bach, Volker; Ballesteros, Miguel; Pizzo, Alessandro
2017
Mathematical analysis of the photoelectric effect. Zbl 1015.81059
Bach, Volker; Klopp, Frédéric; Zenk, Heribert
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
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
2009
Diagonalizing quadratic bosonic operators by non-autonomous flow equation. Zbl 1435.81003
Bach, Volker; Bru, Jean-Bernard
2016
Continuous renormalization group analysis of spectral problems in quantum field theory. Zbl 1308.81086
Bach, Volker; Ballesteros, Miguel; Fröhlich, Jürg
2015
Construction of the ground state in nonrelativistic QED by continuous flows. Zbl 1107.81050
Bach, Volker; Könenberg, Martin
2006
Suppression of decoherence by periodic forcing. Zbl 1300.81010
Bach, Volker; de Siqueira Pedra, Walter; Merkli, Marco; Sigal, Israel Michael
2014
Rigorous foundations of the Brockett-Wegner flow for operators. Zbl 1239.34067
Bach, Volker; Bru, Jean-Bernard
2010
Generalization of Lieb’s variational principle to Bogoliubov-Hartree-Fock theory. Zbl 1295.81146
Bach, Volker; Breteaux, Sébastien; Knörr, Hans Konrad; Menge, Edmund
2014
Accuracy of the Hartree-Fock approximation for the Hubbard model. Zbl 0883.60100
Bach, Volker; Poelchau, Jurij
1997
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
1998
Minimization of the energy of the nonrelativistic one-electron Pauli-Fierz model over quasifree states. Zbl 1291.81401
Bach, Volker; Breteaux, Sébastien; Tzaneteas, Tim
2013
Hartree-Fock Gibbs states for the Hubbard model. Zbl 0878.60076
Bach, V.; Poelchau, J.
1996
Exponential decay of eigenfunctions of the Bethe-Salpeter operator. Zbl 0991.34074
Bach, Volker; Matte, Oliver
2001
Correlation at low temperature. II: Asymptotics. Zbl 1142.82311
Bach, Volker; Møller, Jacob Schach
2004
Ferromagnetism of the Hubbard model at strong coupling in the Hartree-Fock approximation. Zbl 1125.82031
Bach, Volker; Lieb, Elliott H.; Travaglia, Marcos V.
2006
Mathematical density and density matrix functional theory (DFT and DMFT). Zbl 1329.81421
Bach, Volker
2013
Dynamical symmetries in supersymmetric matrix models. Zbl 1160.81025
Bach, V.; Hoppe, J.; Lundholm, D.
2008
Mass renormalization in nonrelativistic quantum electrodynamics. Zbl 1309.81290
Bach, Volker
2012
A tutorial approach to the renormalization group and the smooth Feshbach map. Zbl 1105.81057
Bach, V.
2006
Universality of the Fermi-Hellmann model. Zbl 0737.34042
Bach, Volker; Siedentop, Heinz
1991
Bach, Volker
2001
Fermion correlation inequalities derived from G- and P-conditions. Zbl 1260.81337
Bach, Volker; Knörr, Hans Konrad; Menge, Edmund
2012
QED of confined nonrelativistic particles – new results. Zbl 1253.81133
Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael
1999
Bounds on the discrete spectrum of lattice Schrödinger operators. Zbl 1382.81094
Bach, V.; de Siqueira Pedra, W.; Lakaev, S. N.
2018
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
2017
Existence and construction of resonances for atoms coupled to the quantized radiation field. Zbl 1366.81318
Bach, Volker; Ballesteros, Miguel; Pizzo, Alessandro
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
2016
Diagonalizing quadratic bosonic operators by non-autonomous flow equation. Zbl 1435.81003
Bach, Volker; Bru, Jean-Bernard
2016
Continuous renormalization group analysis of spectral problems in quantum field theory. Zbl 1308.81086
Bach, Volker; Ballesteros, Miguel; Fröhlich, Jürg
2015
Suppression of decoherence by periodic forcing. Zbl 1300.81010
Bach, Volker; de Siqueira Pedra, Walter; Merkli, Marco; Sigal, Israel Michael
2014
Generalization of Lieb’s variational principle to Bogoliubov-Hartree-Fock theory. Zbl 1295.81146
Bach, Volker; Breteaux, Sébastien; Knörr, Hans Konrad; Menge, Edmund
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
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
2013
Mathematical density and density matrix functional theory (DFT and DMFT). Zbl 1329.81421
Bach, Volker
2013
Mass renormalization in nonrelativistic quantum electrodynamics. Zbl 1309.81290
Bach, Volker
2012
Fermion correlation inequalities derived from G- and P-conditions. Zbl 1260.81337
Bach, Volker; Knörr, Hans Konrad; Menge, Edmund
2012
Rigorous foundations of the Brockett-Wegner flow for operators. Zbl 1239.34067
Bach, Volker; Bru, Jean-Bernard
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
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
2009
Dynamical symmetries in supersymmetric matrix models. Zbl 1160.81025
Bach, V.; Hoppe, J.; Lundholm, D.
2008
The renormalized electron mass in non-relativistic quantum electrodynamics. Zbl 1118.81028
Bach, Volker; Chen, Thomas; Fröhlich, Jürg; Sigal, Israel Michael
2007
An infrared-finite algorithm for Rayleigh scattering amplitudes, and Bohr’s frequency condition. Zbl 1123.81046
Bach, Volker; Fröhlich, Jürg; Pizzo, Alessandro
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
2006
Construction of the ground state in nonrelativistic QED by continuous flows. Zbl 1107.81050
Bach, Volker; Könenberg, Martin
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.
2006
A tutorial approach to the renormalization group and the smooth Feshbach map. Zbl 1105.81057
Bach, V.
2006
Correlation at low temperature. II: Asymptotics. Zbl 1142.82311
Bach, Volker; Møller, Jacob Schach
2004
Smooth Feshbach map and operator-theoretic renormalization group methods. Zbl 1060.47028
Bach, Volker; Chen, Thomas; Fröhlich, Jürg; Sigal, Israel Michael
2003
Correlation at low temperature. I: Exponential decay. Zbl 1031.82003
Bach, Volker; Møller, Jacob Schach
2003
Mathematical analysis of the photoelectric effect. Zbl 1015.81059
Bach, Volker; Klopp, Frédéric; Zenk, Heribert
2001
Exponential decay of eigenfunctions of the Bethe-Salpeter operator. Zbl 0991.34074
Bach, Volker; Matte, Oliver
2001
Bach, Volker
2001
Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael
2000
Correlation asymptotics of classical lattice spin systems with nonconvex Hamilton function at low temperature. Zbl 1021.82002
Bach, V.; Jecko, T.; Sjöstrand, J.
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
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
1999
On the stability of the relativistic electron-positron field. Zbl 1024.81056
Bach, Volker; Barbaroux, Jean-Marie; Helffer, Bernard; Siedentop, Heinz
1999
QED of confined nonrelativistic particles – new results. Zbl 1253.81133
Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael
1999
Quantum electrodynamics of confined nonrelativistic particles. Zbl 0923.47040
Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael
1998
Renormalization group analysis of spectral problems in quantum field theory. Zbl 0923.47041
Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael
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
1998
Accuracy of the Hartree-Fock approximation for the Hubbard model. Zbl 0883.60100
Bach, Volker; Poelchau, Jurij
1997
Hartree-Fock Gibbs states for the Hubbard model. Zbl 0878.60076
Bach, V.; Poelchau, J.
1996
Mathematical theory of nonrelativistic matter and radiation. Zbl 0831.47048
Bach, V.; Fröhlich, J.; Sigal, I. M.
1995
Generalized Hartree-Fock theory and the Hubbard model. Zbl 0839.60095
Bach, Volker; Lieb, Elliott H.; Solovej, Jan Philip
1994
Accuracy of mean field approximations for atoms and molecules. Zbl 0802.47061
Bach, Volker
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
1993
Error bound for the Hartree-Fock energy of atoms and molecules. Zbl 0771.46038
Bach, Volker
1992
Ionization energies of bosonic Coulomb systems. Zbl 0725.47049
Bach, Volker
1991
Universality of the Fermi-Hellmann model. Zbl 0737.34042
Bach, Volker; Siedentop, Heinz
1991
A proof of Scott’s conjecture for ions. Zbl 0732.58042
Bach, Volker
1989
all top 5

### Cited by 366 Authors

 44 Fröhlich, Jürg Martin 37 Lewin, Mathieu 33 Bach, Volker 28 Sigal, Israel Michael 24 Hiroshima, Fumio 21 Hainzl, Christian 20 Faupin, Jérémy 15 Chen, Thomas M. 15 Pizzo, Alessandro 15 Schlein, Benjamin 15 Seiringer, Robert 13 Griesemer, Marcel 13 Hasler, David G. 13 Merkli, Marco 13 Møller, Jacob Schach 11 De Roeck, Wojciech 11 Solovej, Jan Philip 10 Ballesteros, Miguel 10 Porta, Marcello 9 Amour, Laurent 9 Arai, Asao 9 Dereziński, Jan 9 Guillot, Jean-Claude 9 Könenberg, Martin 9 Matte, Oliver 9 Phan Thành Nam 9 Siedentop, Heinz Karl Heinrich 8 Barbaroux, Jean-Marie 8 Hirokawa, Masao 8 Jakšić, Vojkan 8 Pillet, Claude-Alain 7 Lieb, Elliott Hershel 7 Spohn, Herbert 6 Benedikter, Niels 6 Frank, Rupert L. 6 Herbst, Ira W. 6 Miyao, Tadahiro 6 Petrat, Sören 6 Rougerie, Nicolas 6 Séré, Eric 6 Stockmeyer, Edgardo 6 Vugal’ter, Semën Abramovich 5 Bruneau, Laurent 5 Deckert, Dirk-André 5 Falconi, Marco 5 Gérard, Christian 5 Kupiainen, Antti 5 Lörinczi, József 5 Schubnel, Baptiste 5 Takaesu, Toshimitsu 4 Abdesselam, Abdelmalek 4 Ammari, Zied 4 Breteaux, Sébastien 4 Bru, Jean-Bernard 4 Fournais, Søren 4 Grébert, Benoît 4 Hänle, Felix 4 Hidaka, Takeru 4 Lakaev, Saidakhmat Norzhigitovich 4 Nourrigat, Jean Francois 4 Panati, Annalisa 4 Pickl, Peter 4 Sabin, Julien 4 Sasaki, Itaru 4 Suzuki, Akito 3 Betz, Volker 3 Billionnet, Claude 3 Bokanowski, Olivier 3 Bräunlich, Gerhard 3 Cancès, Eric 3 Catto, Isabelle 3 Chenn, Ilias 3 De Siqueira Pedra, Walter 3 Dybalski, Wojciech 3 Georgescu, Vladimir 3 Gravejat, Philippe 3 Ivrii, Victor Ja. 3 Langmann, Edwin 3 Lemm, Marius 3 Loss, Michael 3 Minlos, Robert Adol’fovich 3 Saffirio, Chiara 3 Siebert, Oliver 3 Skibsted, Erik 3 Soffer, Avraham 3 Vougalter, Vitali 3 Zenk, Heribert 2 Almuratov, Firdavsjon M. 2 Anapolitanos, Ioannis 2 Aschbacher, Walter H. 2 Benguria, Rafael D. 2 Bertini, Massimo 2 Bony, Jean-François 2 Bourget, Olivier 2 Chen, Li 2 Correggi, Michele 2 Cortés, Víctor H. 2 Dam, Thomas Norman 2 de Woul, Jonas 2 Deuchert, Andreas ...and 266 more Authors
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### Cited in 81 Serials

 67 Journal of Mathematical Physics 62 Communications in Mathematical Physics 39 Journal of Statistical Physics 37 Journal of Functional Analysis 36 Annales Henri Poincaré 35 Reviews in Mathematical Physics 20 Letters in Mathematical Physics 18 Advances in Mathematics 14 Journal of Mathematical Analysis and Applications 10 Archive for Rational Mechanics and Analysis 6 Mathematical Physics, Analysis and Geometry 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 Calculus of Variations and Partial Differential Equations 4 Journal of Evolution 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 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 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 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 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 New Journal of Physics 1 Journal of the European Mathematical Society (JEMS) 1 Lobachevskii Journal of Mathematics 1 Physical Review Letters 1 Quantum Information Processing 1 Journal of Hyperbolic Differential Equations 1 Journal of Statistical Mechanics: Theory and Experiment 1 Boundary Value Problems 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 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 Journal of Spectral Theory 1 Bulletin of Mathematical Sciences 1 EMS Surveys in Mathematical Sciences 1 Tunisian Journal of Mathematics
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### Cited in 35 Fields

 378 Quantum theory (81-XX) 153 Statistical mechanics, structure of matter (82-XX) 141 Partial differential equations (35-XX) 108 Operator theory (47-XX) 36 Functional analysis (46-XX) 25 Probability theory and stochastic processes (60-XX) 13 Global analysis, analysis on manifolds (58-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) 8 Ordinary differential equations (34-XX) 8 Mechanics of particles and systems (70-XX) 7 Difference and functional equations (39-XX) 5 Functions of a complex variable (30-XX) 5 Astronomy and astrophysics (85-XX) 4 Relativity and gravitational theory (83-XX) 3 Differential geometry (53-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 Fluid mechanics (76-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 History and biography (01-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 Numerical analysis (65-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)

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