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Graf, Gian Michele

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Author ID: graf.gian-michele Recent zbMATH articles by "Graf, Gian Michele"
Published as: Graf, G. M.; Graf, Gian Michele
External Links: Wikidata · GND
Documents Indexed: 59 Publications since 1990, including 1 Book

Publications by Year

Citations contained in zbMATH

43 Publications have been cited 539 times in 418 Documents Cited by Year
Asymptotic completeness for N-body short-range quantum systems: A new proof. Zbl 0726.35096
Graf, Gian Michele
62
1990
Localization bounds for an electron gas. Zbl 0953.82009
Aizenman, M.; Graf, G. M.
49
1998
Bulk-edge correspondence for two-dimensional topological insulators. Zbl 1291.82120
Graf, Gian Michele; Porta, Marcello
44
2013
Equality of bulk and edge Hall conductance revisited. Zbl 1001.81091
Elbau, P.; Graf, G. M.
32
2002
Equality of the bulk and edge Hall conductances in a mobility gap. Zbl 1086.81081
Elgart, A.; Graf, G. M.; Schenker, J. H.
31
2005
A general resonance theory based on Mourre’s inequality. Zbl 1093.81023
Cattaneo, Laura; Graf, Gian Michele; Hunziker, Walter
24
2006
A remark on the estimate of a determinant by Minami. Zbl 1104.82008
Graf, Gian Michele; Vaghi, Alessio
22
2007
Symmetry breaking regime in the nonlinear Hartree equation. Zbl 1060.81012
Aschbacher, W. H.; Fröhlich, J.; Graf, G. M.; Schnee, K.; Troyer, M.
22
2002
A correlation estimate with applications to quantum systems with Coulomb interactions. Zbl 0843.47041
Graf, Gian Michele; Solovej, Jan Philip
20
1994
Anderson localization and the space-time characteristic of continuum states. Zbl 0828.60092
Graf, Gian Michele
16
1994
Adiabatic theorems for generators of contracting evolutions. Zbl 1256.47062
Avron, J. E.; Fraas, M.; Graf, G. M.; Grech, P.
15
2012
On the extended nature of edge states of quantum Hall Hamiltonians. Zbl 1004.81043
Fröhlich, J.; Graf, G. M.; Walcher, J.
15
2000
Phase space analysis of the charge transfer model. Zbl 0741.35050
Graf, Gian Michele
14
1990
Asymptotic form of zero energy wave functions in supersymmetric matrix models. Zbl 0951.81083
Fröhlich, J.; Graf, G. M.; Hasler, D.; Hoppe, J.; Yau, S.-T.
13
2000
Stability of ultraviolet-cutoff quantum electrodynamics with non-relativistic matter. Zbl 0916.46059
Fefferman, Charles; Fröhlich, Jürg; Graf, Gian Michele
13
1997
Fredholm determinants and the statistics of charge transport. Zbl 1144.82033
Avron, J. E.; Bachmann, S.; Graf, G. M.; Klich, I.
12
2008
2-magnon scattering in the Heisenberg model. Zbl 0879.47043
Graf, Gian Michele; Schenker, Daniel
12
1997
Bulk-edge correspondence for two-dimensional Floquet topological insulators. Zbl 1392.82008
Graf, Gian Michele; Tauber, Clément
10
2018
Transport and dissipation in quantum pumps. Zbl 1142.82366
Avron, J. E.; Elgart, A.; Graf, G. M.; Sadun, L.
10
2004
Adiabatic charge pumping in open quantum systems. Zbl 1038.81073
Avron, Joseph E.; Elgart, Alexander; Graf, Gian Michele; Sadun, Lorenzo; Schnee, Kai
10
2004
On the molecular limit of Coulomb gases. Zbl 0837.58048
Graf, Gian Michele; Schenker, Daniel
10
1995
The bulk-edge correspondence for disordered chiral chains. Zbl 1401.82031
Graf, Gian Michele; Shapiro, Jacob
8
2018
Aspects of an integer quantum Hall effect. Zbl 1132.81356
Graf, Gian Michele
7
2007
A Lieb-Thirring bound for a magnetic Pauli Hamiltonian. Zbl 0998.47049
Bugliaro, L.; Fefferman, C.; Fröhlich, J.; Graf, G. M.; Stubbe, J.
7
1997
Landau-Zener tunneling for dephasing Lindblad evolutions. Zbl 1221.81118
Avron, J. E.; Fraas, M.; Graf, G. M.; Grech, P.
6
2011
The ground state energy of Schrödinger operators. Zbl 0784.34061
Gesztesy, F.; Graf, G. M.; Simon, B.
6
1992
Adiabatic response for Lindblad dynamics. Zbl 1257.82065
Avron, J. E.; Fraas, M.; Graf, G. M.
5
2012
Equivalence of topological and scattering approaches to quantum pumping. Zbl 1227.34089
Bräunlich, G.; Graf, G. M.; Ortelli, G.
5
2010
Time-energy coherent states and adiabatic scattering. Zbl 1060.81616
Avron, J. E.; Elgart, A.; Graf, G. M.; Sadun, L.
5
2002
No zero energy states for the supersymmetric \(x^2y^2\) potential. Zbl 1010.81079
Graf, G. M.; Hasler, D.; Hoppe, J.
4
2002
Stability of matter through an electrostatic inequality. Zbl 0864.58067
Graf, Gian Michele
4
1997
Proof of stability of the hydrogen molecule. Zbl 0972.81689
Richard, J.-M.; Fröhlich, J.; Graf, G. M.; Seifert, M.
4
1993
The real spectrum of the imaginary cubic oscillator: an expository proof. Zbl 1305.81082
Giordanelli, Ilario; Graf, Gian Michele
3
2015
The colored Hofstadter butterfly for the honeycomb lattice. Zbl 1296.82003
Agazzi, A.; Eckmann, J.-P.; Graf, G. M.
3
2014
Time ordering and counting statistics. Zbl 1202.82075
Bachmann, S.; Graf, G. M.; Lesovik, G. B.
3
2010
Classical action and quantum \(N\)-body asymptotic completeness. Zbl 0874.47039
Graf, Gian Michele; Schenker, Daniel
3
1997
Stability of nonrelativistic quantum mechanical matter coupled to the (ultraviolet cutoff) radiation field. Zbl 1125.81320
Fefferman, Charles; Fröhlich, Jürg; Graf, Gian Michele
2
2006
A Lieb-Thirring bound for a magnetic Pauli Hamiltonian. II. Zbl 1109.81313
Bugliaro, Luca; Fefferman, Charles; Graf, Gian Michele
2
1999
The Mourre estimate in the semiclassical limit. Zbl 0708.35072
Graf, Gian Michele
2
1990
Dynamical crossing of an infinitely degenerate critical point. Zbl 1366.81319
Bachmann, Sven; Fraas, Martin; Graf, Gian Michele
1
2017
Scattering of magnetic edge states. Zbl 1088.81092
Buchendorfer, Christoph; Graf, Gian Michele
1
2006
The heat kernel expansion for the electromagnetic field in a cavity. Zbl 1037.58016
Bernasconi, F.; Graf, G. M.; Hasler, D.
1
2003
The free energy of systems with net charge. Zbl 0833.58052
Graf, Gian Michele; Schenker, Daniel
1
1995
Bulk-edge correspondence for two-dimensional Floquet topological insulators. Zbl 1392.82008
Graf, Gian Michele; Tauber, Clément
10
2018
The bulk-edge correspondence for disordered chiral chains. Zbl 1401.82031
Graf, Gian Michele; Shapiro, Jacob
8
2018
Dynamical crossing of an infinitely degenerate critical point. Zbl 1366.81319
Bachmann, Sven; Fraas, Martin; Graf, Gian Michele
1
2017
The real spectrum of the imaginary cubic oscillator: an expository proof. Zbl 1305.81082
Giordanelli, Ilario; Graf, Gian Michele
3
2015
The colored Hofstadter butterfly for the honeycomb lattice. Zbl 1296.82003
Agazzi, A.; Eckmann, J.-P.; Graf, G. M.
3
2014
Bulk-edge correspondence for two-dimensional topological insulators. Zbl 1291.82120
Graf, Gian Michele; Porta, Marcello
44
2013
Adiabatic theorems for generators of contracting evolutions. Zbl 1256.47062
Avron, J. E.; Fraas, M.; Graf, G. M.; Grech, P.
15
2012
Adiabatic response for Lindblad dynamics. Zbl 1257.82065
Avron, J. E.; Fraas, M.; Graf, G. M.
5
2012
Landau-Zener tunneling for dephasing Lindblad evolutions. Zbl 1221.81118
Avron, J. E.; Fraas, M.; Graf, G. M.; Grech, P.
6
2011
Equivalence of topological and scattering approaches to quantum pumping. Zbl 1227.34089
Bräunlich, G.; Graf, G. M.; Ortelli, G.
5
2010
Time ordering and counting statistics. Zbl 1202.82075
Bachmann, S.; Graf, G. M.; Lesovik, G. B.
3
2010
Fredholm determinants and the statistics of charge transport. Zbl 1144.82033
Avron, J. E.; Bachmann, S.; Graf, G. M.; Klich, I.
12
2008
A remark on the estimate of a determinant by Minami. Zbl 1104.82008
Graf, Gian Michele; Vaghi, Alessio
22
2007
Aspects of an integer quantum Hall effect. Zbl 1132.81356
Graf, Gian Michele
7
2007
A general resonance theory based on Mourre’s inequality. Zbl 1093.81023
Cattaneo, Laura; Graf, Gian Michele; Hunziker, Walter
24
2006
Stability of nonrelativistic quantum mechanical matter coupled to the (ultraviolet cutoff) radiation field. Zbl 1125.81320
Fefferman, Charles; Fröhlich, Jürg; Graf, Gian Michele
2
2006
Scattering of magnetic edge states. Zbl 1088.81092
Buchendorfer, Christoph; Graf, Gian Michele
1
2006
Equality of the bulk and edge Hall conductances in a mobility gap. Zbl 1086.81081
Elgart, A.; Graf, G. M.; Schenker, J. H.
31
2005
Transport and dissipation in quantum pumps. Zbl 1142.82366
Avron, J. E.; Elgart, A.; Graf, G. M.; Sadun, L.
10
2004
Adiabatic charge pumping in open quantum systems. Zbl 1038.81073
Avron, Joseph E.; Elgart, Alexander; Graf, Gian Michele; Sadun, Lorenzo; Schnee, Kai
10
2004
The heat kernel expansion for the electromagnetic field in a cavity. Zbl 1037.58016
Bernasconi, F.; Graf, G. M.; Hasler, D.
1
2003
Equality of bulk and edge Hall conductance revisited. Zbl 1001.81091
Elbau, P.; Graf, G. M.
32
2002
Symmetry breaking regime in the nonlinear Hartree equation. Zbl 1060.81012
Aschbacher, W. H.; Fröhlich, J.; Graf, G. M.; Schnee, K.; Troyer, M.
22
2002
Time-energy coherent states and adiabatic scattering. Zbl 1060.81616
Avron, J. E.; Elgart, A.; Graf, G. M.; Sadun, L.
5
2002
No zero energy states for the supersymmetric \(x^2y^2\) potential. Zbl 1010.81079
Graf, G. M.; Hasler, D.; Hoppe, J.
4
2002
On the extended nature of edge states of quantum Hall Hamiltonians. Zbl 1004.81043
Fröhlich, J.; Graf, G. M.; Walcher, J.
15
2000
Asymptotic form of zero energy wave functions in supersymmetric matrix models. Zbl 0951.81083
Fröhlich, J.; Graf, G. M.; Hasler, D.; Hoppe, J.; Yau, S.-T.
13
2000
A Lieb-Thirring bound for a magnetic Pauli Hamiltonian. II. Zbl 1109.81313
Bugliaro, Luca; Fefferman, Charles; Graf, Gian Michele
2
1999
Localization bounds for an electron gas. Zbl 0953.82009
Aizenman, M.; Graf, G. M.
49
1998
Stability of ultraviolet-cutoff quantum electrodynamics with non-relativistic matter. Zbl 0916.46059
Fefferman, Charles; Fröhlich, Jürg; Graf, Gian Michele
13
1997
2-magnon scattering in the Heisenberg model. Zbl 0879.47043
Graf, Gian Michele; Schenker, Daniel
12
1997
A Lieb-Thirring bound for a magnetic Pauli Hamiltonian. Zbl 0998.47049
Bugliaro, L.; Fefferman, C.; Fröhlich, J.; Graf, G. M.; Stubbe, J.
7
1997
Stability of matter through an electrostatic inequality. Zbl 0864.58067
Graf, Gian Michele
4
1997
Classical action and quantum \(N\)-body asymptotic completeness. Zbl 0874.47039
Graf, Gian Michele; Schenker, Daniel
3
1997
On the molecular limit of Coulomb gases. Zbl 0837.58048
Graf, Gian Michele; Schenker, Daniel
10
1995
The free energy of systems with net charge. Zbl 0833.58052
Graf, Gian Michele; Schenker, Daniel
1
1995
A correlation estimate with applications to quantum systems with Coulomb interactions. Zbl 0843.47041
Graf, Gian Michele; Solovej, Jan Philip
20
1994
Anderson localization and the space-time characteristic of continuum states. Zbl 0828.60092
Graf, Gian Michele
16
1994
Proof of stability of the hydrogen molecule. Zbl 0972.81689
Richard, J.-M.; Fröhlich, J.; Graf, G. M.; Seifert, M.
4
1993
The ground state energy of Schrödinger operators. Zbl 0784.34061
Gesztesy, F.; Graf, G. M.; Simon, B.
6
1992
Asymptotic completeness for N-body short-range quantum systems: A new proof. Zbl 0726.35096
Graf, Gian Michele
62
1990
Phase space analysis of the charge transfer model. Zbl 0741.35050
Graf, Gian Michele
14
1990
The Mourre estimate in the semiclassical limit. Zbl 0708.35072
Graf, Gian Michele
2
1990
all top 5

Cited by 460 Authors

17 Schulz-Baldes, Hermann
15 Graf, Gian Michele
11 Porta, Marcello
11 Stolz, Gunter
10 Bachmann, Sven
10 Fraas, Martin
10 Gérard, Christian
9 Germinet, François
9 Lewin, Mathieu
8 Cornean, Horia D.
8 Klein, Abel
8 Monaco, Domenico
8 Schenker, Jeffrey H.
8 Seiringer, Robert
8 Skibsted, Erik
7 Adachi, Tadayoshi
7 De Roeck, Wojciech
7 Dybalski, Wojciech
7 Gomi, Kiyonori
7 Hiroshima, Fumio
7 Joye, Alain
7 Sigal, Israel Michael
7 Solovej, Jan Philip
6 De Nittis, Giuseppe
6 Elgart, Alexander
6 Faupin, Jérémy
6 Jensen, Arne
6 Nenciu, Gheorghe
6 Panati, Gianluca
6 Schach Møller, Jacob
6 Soffer, Avraham
6 Tauber, Clément
6 Weinstein, Michael I.
5 Albeverio, Sergio A.
5 Avron, Joseph E.
5 Dereziński, Jan
5 Fröhlich, Jürg Martin
5 Kellendonk, Johannes
5 Lakaev, Saidakhmat Norzhigitovich
5 Mastropietro, Vieri
5 Tautenhahn, Martin
5 Thiang, Guo Chuan
5 Zielinski, Lech
4 Asch, Joachim
4 Bourget, Olivier
4 Drouot, Alexis
4 Fefferman, Charles Louis
4 Fournais, Søren
4 Griesemer, Marcel
4 Guo, Yujin
4 Herbst, Ira W.
4 Hislop, Peter D.
4 Klopp, Frédéric
4 Lieb, Elliott H.
4 Muminov, Zahriddin Ishkobilovich
4 Phan Thanh Nam
4 Pillet, Claude-Alain
4 Rougerie, Nicolas
4 Sacchetti, Andrea
4 Schlein, Benjamin
4 Sims, Robert L.
4 Veselić, Ivan
3 Aizenman, Michael
3 Boulton, Lyonell S.
3 Bourne, Chris
3 Briet, Philippe
3 Chulaevsky, Victor
3 Deng, Qingquan
3 Doyon, Benjamin
3 Fernández, Claudio A.
3 García del Moral, María Pilar
3 Giuliani, Alessandro
3 Hainzl, Christian
3 Hunziker, Willi
3 Koma, Tohru
3 Łaba, Izabella
3 Merkli, Marco
3 Naboko, Serguei N.
3 Nachtergaele, Bruno
3 Nakano, Fumihiko
3 Petrat, Sören
3 Rennie, Adam
3 Restuccia, Álvaro
3 Shapiro, Jacob
3 Soccorsi, Eric
3 Teufel, Stefan
3 Vasy, András
3 Yao, Xiaohua
3 Zeng, Xiaoyu
2 Anapolitanos, Ioannis
2 Antinucci, Giovanni
2 Aschbacher, Walter H.
2 Bach, Volker
2 Ballesteros, Miguel
2 Beaud, Vincent
2 Benedikter, Niels
2 Bernard, Denis
2 Bols, Alex
2 Bouclet, Jean-Marc
2 Cao, Huaixin
...and 360 more Authors
all top 5

Cited in 88 Serials

73 Communications in Mathematical Physics
52 Journal of Mathematical Physics
34 Annales Henri Poincaré
32 Journal of Statistical Physics
25 Reviews in Mathematical Physics
20 Journal of Functional Analysis
16 Letters in Mathematical Physics
10 Mathematical Physics, Analysis and Geometry
7 Journal of Mathematical Analysis and Applications
7 Nuclear Physics. B
6 Advances in Mathematics
6 Duke Mathematical Journal
6 Journal of Differential Equations
6 Annales de l’Institut Henri Poincaré. Physique Théorique
5 Communications in Partial Differential Equations
4 Journal of Geometry and Physics
3 Physics Letters. A
3 Inventiones Mathematicae
3 Proceedings of the American Mathematical Society
3 Physica D
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Discrete and Continuous Dynamical Systems
3 New Journal of Physics
2 Archive for Rational Mechanics and Analysis
2 Communications on Pure and Applied Mathematics
2 Journal d’Analyse Mathématique
2 Nonlinearity
2 Physics Reports
2 Reviews of Modern Physics
2 Annales de l’Institut Fourier
2 Integral Equations and Operator Theory
2 Mathematische Zeitschrift
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Transactions of the American Mathematical Society
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 SIAM Journal on Mathematical Analysis
2 Journal of High Energy Physics
2 Journal of Physics A: Mathematical and Theoretical
2 Journal of Spectral Theory
2 Bulletin of Mathematical Sciences
2 Pure and Applied Analysis
1 International Journal of Modern Physics B
1 Classical and Quantum Gravity
1 International Journal of Theoretical Physics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Fluid Mechanics
1 Physics Letters. B
1 Reports on Mathematical Physics
1 Theoretical and Mathematical Physics
1 Arkiv för Matematik
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Indiana University Mathematics Journal
1 Information Sciences
1 International Journal of Mathematics and Mathematical Sciences
1 Memoirs of the American Mathematical Society
1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
1 Acta Applicandae Mathematicae
1 Annals of Global Analysis and Geometry
1 Probability Theory and Related Fields
1 Constructive Approximation
1 The Annals of Applied Probability
1 Bulletin of the American Mathematical Society. New Series
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Mémoires de la Société Mathématique de France. Nouvelle Série
1 Journal of Nonlinear Science
1 Russian Mathematics
1 Calculus of Variations and Partial Differential Equations
1 Russian Journal of Mathematical Physics
1 Physics of Fluids
1 Random Operators and Stochastic Equations
1 Bulletin des Sciences Mathématiques
1 Documenta Mathematica
1 Journal of Mathematical Chemistry
1 Infinite Dimensional Analysis, Quantum Probability and Related Topics
1 Annals of Mathematics. Second Series
1 LMS Journal of Computation and Mathematics
1 Journal of Dynamical and Control Systems
1 Communications in Contemporary Mathematics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Central European Journal of Mathematics
1 Journal of Statistical Mechanics: Theory and Experiment
1 Journal of Fixed Point Theory and Applications
1 Complex Analysis and Operator Theory
1 Kyoto Journal of Mathematics
1 Annalen der Physik
1 Annals of PDE
1 Journal de l’École Polytechnique – Mathématiques
1 Séminaire Laurent Schwartz. EDP et Applications
all top 5

Cited in 45 Fields

288 Quantum theory (81-XX)
176 Statistical mechanics, structure of matter (82-XX)
137 Partial differential equations (35-XX)
101 Operator theory (47-XX)
33 Probability theory and stochastic processes (60-XX)
28 Functional analysis (46-XX)
17 \(K\)-theory (19-XX)
14 Ordinary differential equations (34-XX)
13 Mechanics of particles and systems (70-XX)
12 Global analysis, analysis on manifolds (58-XX)
11 Dynamical systems and ergodic theory (37-XX)
7 Algebraic topology (55-XX)
7 Optics, electromagnetic theory (78-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Differential geometry (53-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
4 Manifolds and cell complexes (57-XX)
4 Relativity and gravitational theory (83-XX)
4 Biology and other natural sciences (92-XX)
3 Combinatorics (05-XX)
3 Functions of a complex variable (30-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Difference and functional equations (39-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Fluid mechanics (76-XX)
3 Information and communication theory, circuits (94-XX)
2 General and overarching topics; collections (00-XX)
2 History and biography (01-XX)
2 Group theory and generalizations (20-XX)
2 Topological groups, Lie groups (22-XX)
2 Special functions (33-XX)
2 Statistics (62-XX)
2 Astronomy and astrophysics (85-XX)
1 Algebraic geometry (14-XX)
1 Associative rings and algebras (16-XX)
1 Nonassociative rings and algebras (17-XX)
1 Measure and integration (28-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral equations (45-XX)
1 Numerical analysis (65-XX)
1 Computer science (68-XX)
1 Mechanics of deformable solids (74-XX)
1 Geophysics (86-XX)
1 Systems theory; control (93-XX)
1 Mathematics education (97-XX)

Citations by Year

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