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Bach, Volker

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Author ID: bach.volker Recent zbMATH articles by "Bach, Volker"
Published as: Bach, V.; Bach, Volker
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Documents Indexed: 66 Publications since 1989, including 2 Books

Publications by Year

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 0923.47040
Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael
136
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
104
1999
Renormalization group analysis of spectral problems in quantum field theory. Zbl 0923.47041
Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael
74
1998
Generalized Hartree-Fock theory and the Hubbard model. Zbl 0839.60095
Bach, Volker; Lieb, Elliott H.; Solovej, Jan Philip
68
1994
Return to equilibrium. Zbl 1037.82029
Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael
45
2000
Smooth Feshbach map and operator-theoretic renormalization group methods. Zbl 1060.47028
Bach, Volker; Chen, Thomas; Fröhlich, Jürg; Sigal, Israel Michael
41
2003
Error bound for the Hartree-Fock energy of atoms and molecules. Zbl 0771.46038
Bach, Volker
40
1992
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
39
2006
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
34
1999
The renormalized electron mass in non-relativistic quantum electrodynamics. Zbl 1118.81028
Bach, Volker; Chen, Thomas; Fröhlich, Jürg; Sigal, Israel Michael
33
2007
Mathematical theory of nonrelativistic matter and radiation. Zbl 0831.47048
Bach, V.; Fröhlich, J.; Sigal, I. M.
28
1995
On the stability of the relativistic electron-positron field. Zbl 1024.81056
Bach, 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 1333.35221
Bach, Volker; Breteaux, Sébastien; Petrat, Sören; Pickl, Peter; Tzaneteas, Tim
18
2016
Correlation at low temperature. I: Exponential decay. Zbl 1031.82003
Bach, 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 1161.81026
Bach, Volker; Fröhlich, Jürg; Pizzo, Alessandro
11
2009
An infrared-finite algorithm for Rayleigh scattering amplitudes, and Bohr’s frequency condition. Zbl 1123.81046
Bach, Volker; Fröhlich, Jürg; Pizzo, Alessandro
11
2007
Accuracy of mean field approximations for atoms and molecules. Zbl 0802.47061
Bach, Volker
11
1993
Ionization energies of bosonic Coulomb systems. Zbl 0725.47049
Bach, Volker
11
1991
Existence and construction of resonances for atoms coupled to the quantized radiation field. Zbl 1366.81318
Bach, Volker; Ballesteros, Miguel; Pizzo, Alessandro
10
2017
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
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
9
2017
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
9
2013
A proof of Scott’s conjecture for ions. Zbl 0732.58042
Bach, Volker
9
1989
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
Bounds on the discrete spectrum of lattice Schrödinger operators. Zbl 1382.81094
Bach, V.; de Siqueira Pedra, W.; Lakaev, S. N.
6
2018
Diagonalizing quadratic bosonic operators by non-autonomous flow equation. Zbl 1435.81003
Bach, Volker; Bru, Jean-Bernard
6
2016
Continuous renormalization group analysis of spectral problems in quantum field theory. Zbl 1308.81086
Bach, Volker; Ballesteros, Miguel; Fröhlich, Jürg
5
2015
Suppression of decoherence by periodic forcing. Zbl 1300.81010
Bach, Volker; de Siqueira Pedra, Walter; Merkli, Marco; Sigal, Israel Michael
5
2014
Construction of the ground state in nonrelativistic QED by continuous flows. Zbl 1107.81050
Bach, Volker; Könenberg, Martin
5
2006
Rigorous foundations of the Brockett-Wegner flow for operators. Zbl 1239.34067
Bach, Volker; Bru, Jean-Bernard
4
2010
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
3
1998
Accuracy of the Hartree-Fock approximation for the Hubbard model. Zbl 0883.60100
Bach, Volker; Poelchau, Jurij
3
1997
Generalization of Lieb’s variational principle to Bogoliubov-Hartree-Fock theory. Zbl 1295.81146
Bach, Volker; Breteaux, Sébastien; Knörr, Hans Konrad; Menge, Edmund
2
2014
Ferromagnetism of the Hubbard model at strong coupling in the Hartree-Fock approximation. Zbl 1125.82031
Bach, Volker; Lieb, Elliott H.; Travaglia, Marcos V.
2
2006
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
Mathematical density and density matrix functional theory (DFT and DMFT). Zbl 1329.81421
Bach, Volker
1
2013
Minimization of the energy of the nonrelativistic one-electron Pauli-Fierz model over quasifree states. Zbl 1291.81401
Bach, Volker; Breteaux, Sébastien
1
2013
Fermion correlation inequalities derived from G- and P-conditions. Zbl 1260.81337
Bach, Volker; Knörr, Hans Konrad; Menge, Edmund
1
2012
Dynamical symmetries in supersymmetric matrix models. Zbl 1160.81025
Bach, V.; Hoppe, J.; Lundholm, D.
1
2008
A tutorial approach to the renormalization group and the smooth Feshbach map. Zbl 1105.81057
Bach, V.
1
2006
Return to thermal equilibrium in quantum statistical mechanics. Zbl 1038.82504
Bach, Volker
1
2001
QED of confined nonrelativistic particles – new results. Zbl 1253.81133
Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael
1
1999
Universality of the Fermi-Hellmann model. Zbl 0737.34042
Bach, Volker; Siedentop, Heinz
1
1991
Bounds on the discrete spectrum of lattice Schrödinger operators. Zbl 1382.81094
Bach, V.; de Siqueira Pedra, W.; Lakaev, S. N.
6
2018
Existence and construction of resonances for atoms coupled to the quantized radiation field. Zbl 1366.81318
Bach, 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 1366.81317
Bach, 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 1333.35221
Bach, Volker; Breteaux, Sébastien; Petrat, Sören; Pickl, Peter; Tzaneteas, Tim
18
2016
Diagonalizing quadratic bosonic operators by non-autonomous flow equation. Zbl 1435.81003
Bach, Volker; Bru, Jean-Bernard
6
2016
Continuous renormalization group analysis of spectral problems in quantum field theory. Zbl 1308.81086
Bach, Volker; Ballesteros, Miguel; Fröhlich, Jürg
5
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
2
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
9
2013
Mathematical density and density matrix functional theory (DFT and DMFT). Zbl 1329.81421
Bach, Volker
1
2013
Minimization of the energy of the nonrelativistic one-electron Pauli-Fierz model over quasifree states. Zbl 1291.81401
Bach, Volker; Breteaux, Sébastien
1
2013
Fermion correlation inequalities derived from G- and P-conditions. Zbl 1260.81337
Bach, Volker; Knörr, Hans Konrad; Menge, Edmund
1
2012
Rigorous foundations of the Brockett-Wegner flow for operators. Zbl 1239.34067
Bach, 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 1161.81026
Bach, Volker; Fröhlich, Jürg; Pizzo, Alessandro
11
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
33
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
39
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.
2
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
41
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
45
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
104
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
34
1999
On the stability of the relativistic electron-positron field. Zbl 1024.81056
Bach, Volker; Barbaroux, Jean-Marie; Helffer, Bernard; Siedentop, Heinz
21
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
136
1998
Renormalization group analysis of spectral problems in quantum field theory. Zbl 0923.47041
Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael
74
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
3
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.
28
1995
Generalized Hartree-Fock theory and the Hubbard model. Zbl 0839.60095
Bach, Volker; Lieb, Elliott H.; Solovej, Jan Philip
68
1994
Accuracy of mean field approximations for atoms and molecules. Zbl 0802.47061
Bach, Volker
11
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
40
1992
Ionization energies of bosonic Coulomb systems. Zbl 0725.47049
Bach, Volker
11
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
9
1989
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

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