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Author ID: grosse.harald Recent zbMATH articles by "Grosse, Harald"
Published as: Grosse, H.; Grosse, Harald
Homepage: https://physik.cosmos-indirekt.de/Physik-Schule/Harald_Grosse
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Publications by Year

Citations contained in zbMATH Open

98 Publications have been cited 1,215 times in 677 Documents Cited by Year
Renormalisation of \(\phi^4\)-theory on noncommutative \(\mathbb R^{4}\) in the matrix base. Zbl 1075.82005
Grosse, Harald; Wulkenhaar, Raimar
137
2005
On finite 4D quantum field theory in non-commutative geometry. Zbl 0872.58008
Grosse, H.; Klimčík, C.; Prešnajder, P.
51
1996
Power-counting theorem for non-local matrix models and renormalisation. Zbl 1079.81049
Grosse, Harald; Wulkenhaar, Raimar
48
2005
Combinatorial quantization of the Hamiltonian Chern-Simons theory. I. Zbl 0842.58037
Alekseev, Anton Yu.; Grosse, Harald; Schomerus, Volker
46
1995
Self-dual noncommutative \(\phi^4\)-theory in four dimensions is a non-perturbatively solvable and non-trivial quantum field theory. Zbl 1305.81129
Grosse, Harald; Wulkenhaar, Raimar
44
2014
The Dirac operator on the fuzzy sphere. Zbl 0840.58011
Grosse, H.; Prešnajder, P.
43
1995
Finite quantum field theory in noncommutative geometry. Zbl 0846.58015
Grosse, H.; Klimčík, C.; Prešnajder, P.
43
1996
The \(\beta \)-function in duality-covariant non-commutative \(f^{4}\phi^4\) -theory. Zbl 1191.81207
Grosse, Harald; Wulkenhaar, Raimar
42
2004
Combinatorial quantization of the Hamiltonian Chern-Simons theory. II. Zbl 0842.58038
Alekseev, Anton Yu.; Grosse, Harald; Schomerus, Volker
36
1996
Topologically nontrivial field configurations in noncommutative geometry. Zbl 0920.58007
Grosse, H.; Klimčík, C.; Prešnajder, P.
35
1996
Wedge-local quantum fields and noncommutative Minkowski space. Zbl 1245.81048
Grosse, Harald; Lechner, Gandalf
34
2007
Noncommutative deformations of Wightman quantum field theories. Zbl 1245.81069
Grosse, Harald; Lechner, Gandalf
32
2008
Witten index, axial anomaly, and Krein’s spectral shift function in supersymmetric quantum mechanics. Zbl 0643.47005
Bollé, D.; Gesztesy, F.; Grosse, H.; Schweiger, W.; Simon, B.
29
1987
Induced gauge theory on a noncommutative space. Zbl 1189.81217
Grosse, H.; Wohlgenannt, M.
29
2007
Field theory on a supersymmetric lattice. Zbl 0874.46050
Grosse, H.; Klimčík, C.; Prešnajder, P.
29
1997
The construction of noncommutative manifolds using coherent states. Zbl 0813.46065
Grosse, H.; Prešnajder, P.
28
1993
Renormalisation of \(\Phi^4\)-theory on non-commutative \(\mathbb R^4\) to all orders. Zbl 1115.81055
Grosse, Harald; Wulkenhaar, Raimar
28
2005
Strong connections and Chern-Connes pairing in the Hopf-Galois theory. Zbl 0990.58008
Dąbrowski, Ludwik; Grosse, Harald; Hajac, Piotr M.
26
2001
A family of optimal conditions for the absence of bound states in a potential. Zbl 0332.31004
Glaser, V.; Martin, A.; Grosse, H.; Thirring, W.
24
1976
Bounds on the number of eigenvalues of the Schrödinger operator. Zbl 0373.35050
Glaser, V.; Grosse, H.; Martin, A.
18
1978
Renormalization of the noncommutative \(\phi^3\) model through the Kontsevich model. Zbl 1178.81190
Grosse, Harald; Steinacker, Harold
18
2006
Field theory on the \(q\)-deformed fuzzy sphere. I. Zbl 1130.81346
Grosse, H.; Madore, J.; Steinacker, H.
17
2001
Finite gauge theory on fuzzy \(\mathbb CP^2\). Zbl 1160.81410
Grosse, Harald; Steinacker, Harald
16
2005
A rigorous approach to relativistic corrections of bound state energies for spin-1/2 particles. Zbl 0534.46053
Gesztesy, F.; Grosse, H.; Thaller, B.
16
1984
8D-spectral triple on 4D-Moyal space and the vacuum of noncommutative gauge theory. Zbl 1243.58005
Grosse, Harald; Wulkenhaar, Raimar
16
2012
Field theory on the \(q\)-deformed fuzzy sphere. II: Quantization. Zbl 1130.81347
Grosse, H.; Madore, J.; Steinacker, H.
15
2002
Noncommutative geometry and the regularization problem of 4D quantum field theory. Zbl 0957.81090
Grosse, H.; Strohmaier, Alexander
14
1999
Emergent gravity, matrix models and UV/IR mixing. Zbl 1246.81162
Grosse, Harald; Steinacker, Harold; Wohlgenannt, Michael
14
2008
Supersymmetric quantum mechanics defined as sesquilinear forms. Zbl 0636.46068
Grosse, H.; Pittner, L.
13
1987
Exact renormalization of a noncommutative \(\phi^3\) model in 6 dimensions. Zbl 1177.81104
Grosse, Harald; Steinacker, Harold
13
2008
A noncommutative regularization of the Schwinger model. Zbl 0920.46049
Grosse, H.; Prešnajder, P.
13
1998
Fuzzy line bundles, the Chern character and topological charges over the fuzzy sphere. Zbl 1030.46105
Grosse, Harald; Rupp, Christian W.; Strohmaier, Alexander
12
2002
On the fixed point equation of a solvable 4D QFT model. Zbl 1334.81077
Grosse, Harald; Wulkenhaar, Raimar
12
2016
On a quantum group invariant spin chain with non-local boundary conditions. Zbl 0850.82004
Grosse, H.; Pallua, S.; Prester, P.; Raschhofer, E.
10
1994
Particle physics and the Schrödinger equation. Zbl 0946.81003
Grosse, Harald; Martin, André
10
1997
The \(\Phi_4^3\) and \(\Phi_6^3\) matricial QFT models have reflection positive two-point function. Zbl 1380.81193
Grosse, Harald; Sako, Akifumi; Wulkenhaar, Raimar
8
2018
On quantum holonomy for mixed states. Zbl 0734.46046
Dabrowski, L.; Grosse, H.
8
1990
Quantization of fermions interacting with point-like external fields. Zbl 0635.46063
Falkensteiner, P.; Grosse, H.
8
1987
Unitary representations of the \(q\)-oscillator algebra. Zbl 0834.17029
Chaichian, M.; Grosse, H.; Prešnajder, P.
8
1994
Time delay for long-range interactions. Zbl 0517.47007
Bolle, D.; Gesztesy, F.; Grosse, H.
8
1983
The fuzzy supersphere. Zbl 0933.58002
Grosse, H.; Reiter, G.
8
1998
On nonlocal point interactions in one, two, and three dimensions. Zbl 0585.47038
Dabrowski, L.; Grosse, H.
8
1985
Exact solution of matricial \(\Phi_2^3\) quantum field theory. Zbl 1375.81170
Grosse, Harald; Sako, Akifumi; Wulkenhaar, Raimar
7
2017
Non-commutative Lorentz symmetry and the origin of the Seiberg-Witten map. Zbl 1099.81520
Bichl, A. A.; Grimstrup, J. M.; Grosse, H.; Kraus, E.; Popp, L.; Schweda, M.; Wulkenhaar, R.
7
2002
Noncommutative \(U(1)\) super-Yang-Mills theory: perturbative self-energy corrections. Zbl 1059.81168
Bichl, A. A.; Ertl, M.; Gerhold, A.; Grimstrup, J. M.; Popp, L.; Putz, V.; Schweda, M.; Grosse, H.; Wulkenhaar, R.
6
2004
Novel symmetry of non-Einsteinian gravity in two dimensions. Zbl 0764.53052
Grosse, Harald; Kummer, Wolfgang; Prešnajder, Peter; Schwarz, Dominik J.
6
1992
Trace formulas for a class of non-Fredholm operators: a review. Zbl 1394.47023
Carey, Alan; Gesztesy, Fritz; Grosse, Harald; Levitina, Galina; Potapov, Denis; Sukochev, Fedor; Zanin, Dmitriy
5
2016
Anomalies of Dirac type operators on Euclidean space. Zbl 1321.47026
Carey, Alan; Grosse, Harald; Kaad, Jens
5
2015
Solitons of the modified KdV equation. Zbl 0557.35117
Grosse, H.
5
1984
The Luttinger-Schwinger model. Zbl 0908.58078
Grosse, Harald; Langmann, Edwin; Raschhofer, Ernst
5
1997
Graded differential geometry of graded matrix algebras. Zbl 0958.58004
Grosse, H.; Reiter, G.
5
1999
Slavnov-Taylor identities, non-commutative gauge theories and infrared divergences. Zbl 1342.81631
Blaschke, Daniel N.; Grosse, Harald; Wallet, Jean-Christophe
5
2013
Solution of the self-dual \(\Phi^4\) QFT-model on four-dimensional Moyal space. Zbl 1434.81046
Grosse, Harald; Hock, Alexander; Wulkenhaar, Raimar
5
2020
Fuzzy instantons. Zbl 1014.81054
Grosse, Harald; Maceda, Marco; Madore, John; Steinacker, Harold
4
2002
Krein’s spectral shift function and Fredholm determinants as efficient methods to study supersymmetric quantum mechanics. Zbl 0626.46062
Bollé, D.; Gesztesy, F.; Grosse, H.; Simon, B.
4
1987
First-order relativistic corrections and spectral concentration. Zbl 0595.47007
Gesztesy, F.; Grosse, H.; Thaller, B.
4
1985
Quantum field theory on quantized Bergman domain. Zbl 1273.81139
Grosse, H.; Prešnajder, P.; Wang, Zhituo
4
2012
Regularisation and renormalisation of quantum field theories on noncommutative spaces. Zbl 1142.81365
Grosse, Harald; Wulkenhaar, Raimar
4
2003
Noncommutative QFT and renormalization. Zbl 1241.81145
Grosse, H.; Wulkenhaar, R.
3
2006
Space/time non-commutative field theories and causality. Zbl 1030.81021
Bozkaya, H.; Fischer, P.; Grosse, H.; Pitschmann, M.; Putz, V.; Schweda, M.; Wulkenhaar, R.
3
2003
On current superalgebras and super-Schwinger terms. Zbl 0726.17006
Grosse, H.; Langmann, E.
3
1991
Implementability of gauge transformations and quantization of fermions in external fields. Zbl 0622.46054
Grosse, H.; Karner, G.
3
1987
A supersymmetric generalization of von Neumann’s theorem. Zbl 0639.17013
Grosse, H.; Pittner, L.
3
1988
The geometric phase and the Schwinger term in some models. Zbl 0972.81636
Grosse, H.; Langmann, E.
3
1992
Quantum field theory on the degenerate Moyal space. Zbl 1198.81183
Grosse, Harald; Vignes-Tourneret, Fabien
3
2010
Wick rotation for quantum field theories on degenerate Moyal space(-time). Zbl 1280.81136
Grosse, Harald; Lechner, Gandalf; Ludwig, Thomas; Verch, Rainer
3
2013
Construction of a noncommutative quantum field theory. Zbl 1319.81064
Grosse, Harald; Wulkenhaar, Raimer
3
2013
Noncommutative QFT and renormalization. Zbl 1094.81050
Grosse, Harald; Wulkenhaar, Raimar
2
2006
Groups of automorphisms of the canonical commutation and anticommutation relations. Zbl 0655.46061
Grosse, H.; Pittner, L.
2
1988
Noncommutative quantum field theory. Zbl 1338.81354
Grosse, H.; Wulkenhaar, R.
2
2013
On a trialgebraic deformation of the Manin plane. Zbl 0966.58003
Grosse, Harald; Schlesinger, Karl-Georg
2
2000
On second quantization of quantum groups. Zbl 0973.81053
Grosse, Harald; Schlesinger, Karl-Georg
2
2000
Integrability and positivity in quantum field theory on noncommutative geometry. Zbl 1404.81184
Grosse, Harald; Wulkenhaar, Raimar
2
2018
Renormalization of noncommutative quantum field theory. Zbl 1139.81389
Grosse, Harald; Wulkenhaar, Raimar
2
2008
Noncommutative QFT and renormalization. Zbl 1119.81096
Grosse, Harald; Wulkenhaar, Raimar
2
2007
Geometry and quantum physics. Proceedings of the 38th internationale Universitätswochen für Kern- und Teilchenphysik, Schladming, Austria, January 9–16, 1999. Zbl 0963.00032
2
1999
Schwinger terms and cyclic cohomology for massive 1+1-dimensional fermions and Virasoro algebras. Zbl 0791.58021
Grosse, Harald; Maderner, Walter; Reitberger, Christian
1
1993
Particle physics and the Schrödinger equation. Zbl 1096.81001
Grosse, Harald; Martin, André
1
2006
Simple fuzzy (super)spaces. Zbl 1073.58500
Grosse, H.; Reiter, G.
1
2000
Bethe-Ansatz solution of a modified \(SU(3)-XXZ\)-model. Zbl 0860.58050
Grosse, H.; Raschhofer, E.
1
1994
Exact solution of a 1D quantum many-body system with momentum-dependent interactions. Zbl 1062.81027
Grosse, Harald; Langmann, Edwin; Paufler, Cornelius
1
2004
The superfield formalism applied to the noncommutative Wess-Zumino model. Zbl 0965.81117
Bichl, Andreas A.; Grimstrup, Jesper M.; Popp, Lukas; Schweda, Manfred; Grosse, Harald
1
2000
Duals for non-abelian lattice gauge theories by categorical methods. Zbl 0980.81046
Grosse, Harald; Schlesinger, Karl-Georg
1
2001
Generalized functions for quantum fields obeying quadratic exchange relations. Zbl 0986.81071
Grosse, H.; Oberguggenberger, M.; Todorov, I. T.
1
2000
A suggestion for an integrability notion for two-dimensional spin systems. Zbl 1051.82005
Grosse, Harald; Schlesinger, Karl-Georg
1
2001
On the relation between spin systems and fermion systems. Zbl 0941.82504
Grosse, H.; Popov, V. N.
1
1994
On a spectral flow formula for the homological index. Zbl 1332.19006
Carey, Alan; Grosse, Harald; Kaad, Jens
1
2016
How Prof. Zeidler supported our research on exact solution of quantum field theory toy models. Zbl 1414.81157
Grosse, Harald; Wulkenhaar, Raimar
1
2019
On bound state solutions for certain nonlinear Schrödinger equations. Zbl 0557.35030
Efinger, H. J.; Grosse, H.
1
1984
Renormalization and induced gauge action on a noncommutative space. Zbl 1142.81364
Grosse, Harald; Wohlgenannt, Michael
1
2008
Simple field theoretical models on noncommutative manifolds. Zbl 0919.58005
Grosse, H.; Klimčík, C.; Prešnajder, P.
1
1996
Taming the Landau ghost in noncommutative quantum field theory. Zbl 1170.81435
Grosse, Harald
1
2008
Preface: Special issue dedicated to Eberhard Zeidler’s 75th birthday. Zbl 1334.00106
1
2016
\(N=2\) superalgebra and non-commutative geometry. Zbl 0945.58009
Grosse, H.; Klimčík, C.; Prešnajder, P.
1
1998
Unitary implementability of gauge transformations for the Dirichlet operator and the Schwinger term. Zbl 0663.35072
Falkensteiner, P.; Grosse, H.
1
1987
The symmetry of the Hubbard model. Zbl 0704.60106
Grosse, H.
1
1989
Gauge fields on noncommutative geometries with curvature. Zbl 1290.81148
Burić, M.; Grosse, H.; Madore, J.
1
2010
Gauge symmetry breaking in matrix models. Zbl 1225.83065
Grosse, Harald; Lizzi, Fedele; Steinacker, Harold
1
2011
Solution of the self-dual \(\Phi^4\) QFT-model on four-dimensional Moyal space. Zbl 1434.81046
Grosse, Harald; Hock, Alexander; Wulkenhaar, Raimar
5
2020
How Prof. Zeidler supported our research on exact solution of quantum field theory toy models. Zbl 1414.81157
Grosse, Harald; Wulkenhaar, Raimar
1
2019
The \(\Phi_4^3\) and \(\Phi_6^3\) matricial QFT models have reflection positive two-point function. Zbl 1380.81193
Grosse, Harald; Sako, Akifumi; Wulkenhaar, Raimar
8
2018
Integrability and positivity in quantum field theory on noncommutative geometry. Zbl 1404.81184
Grosse, Harald; Wulkenhaar, Raimar
2
2018
Exact solution of matricial \(\Phi_2^3\) quantum field theory. Zbl 1375.81170
Grosse, Harald; Sako, Akifumi; Wulkenhaar, Raimar
7
2017
On the fixed point equation of a solvable 4D QFT model. Zbl 1334.81077
Grosse, Harald; Wulkenhaar, Raimar
12
2016
Trace formulas for a class of non-Fredholm operators: a review. Zbl 1394.47023
Carey, Alan; Gesztesy, Fritz; Grosse, Harald; Levitina, Galina; Potapov, Denis; Sukochev, Fedor; Zanin, Dmitriy
5
2016
On a spectral flow formula for the homological index. Zbl 1332.19006
Carey, Alan; Grosse, Harald; Kaad, Jens
1
2016
Preface: Special issue dedicated to Eberhard Zeidler’s 75th birthday. Zbl 1334.00106
1
2016
Anomalies of Dirac type operators on Euclidean space. Zbl 1321.47026
Carey, Alan; Grosse, Harald; Kaad, Jens
5
2015
Self-dual noncommutative \(\phi^4\)-theory in four dimensions is a non-perturbatively solvable and non-trivial quantum field theory. Zbl 1305.81129
Grosse, Harald; Wulkenhaar, Raimar
44
2014
Slavnov-Taylor identities, non-commutative gauge theories and infrared divergences. Zbl 1342.81631
Blaschke, Daniel N.; Grosse, Harald; Wallet, Jean-Christophe
5
2013
Wick rotation for quantum field theories on degenerate Moyal space(-time). Zbl 1280.81136
Grosse, Harald; Lechner, Gandalf; Ludwig, Thomas; Verch, Rainer
3
2013
Construction of a noncommutative quantum field theory. Zbl 1319.81064
Grosse, Harald; Wulkenhaar, Raimer
3
2013
Noncommutative quantum field theory. Zbl 1338.81354
Grosse, H.; Wulkenhaar, R.
2
2013
8D-spectral triple on 4D-Moyal space and the vacuum of noncommutative gauge theory. Zbl 1243.58005
Grosse, Harald; Wulkenhaar, Raimar
16
2012
Quantum field theory on quantized Bergman domain. Zbl 1273.81139
Grosse, H.; Prešnajder, P.; Wang, Zhituo
4
2012
Gauge symmetry breaking in matrix models. Zbl 1225.83065
Grosse, Harald; Lizzi, Fedele; Steinacker, Harold
1
2011
Quantum field theory on the degenerate Moyal space. Zbl 1198.81183
Grosse, Harald; Vignes-Tourneret, Fabien
3
2010
Gauge fields on noncommutative geometries with curvature. Zbl 1290.81148
Burić, M.; Grosse, H.; Madore, J.
1
2010
Noncommutative deformations of Wightman quantum field theories. Zbl 1245.81069
Grosse, Harald; Lechner, Gandalf
32
2008
Emergent gravity, matrix models and UV/IR mixing. Zbl 1246.81162
Grosse, Harald; Steinacker, Harold; Wohlgenannt, Michael
14
2008
Exact renormalization of a noncommutative \(\phi^3\) model in 6 dimensions. Zbl 1177.81104
Grosse, Harald; Steinacker, Harold
13
2008
Renormalization of noncommutative quantum field theory. Zbl 1139.81389
Grosse, Harald; Wulkenhaar, Raimar
2
2008
Renormalization and induced gauge action on a noncommutative space. Zbl 1142.81364
Grosse, Harald; Wohlgenannt, Michael
1
2008
Taming the Landau ghost in noncommutative quantum field theory. Zbl 1170.81435
Grosse, Harald
1
2008
Wedge-local quantum fields and noncommutative Minkowski space. Zbl 1245.81048
Grosse, Harald; Lechner, Gandalf
34
2007
Induced gauge theory on a noncommutative space. Zbl 1189.81217
Grosse, H.; Wohlgenannt, M.
29
2007
Noncommutative QFT and renormalization. Zbl 1119.81096
Grosse, Harald; Wulkenhaar, Raimar
2
2007
Renormalization of the noncommutative \(\phi^3\) model through the Kontsevich model. Zbl 1178.81190
Grosse, Harald; Steinacker, Harold
18
2006
Noncommutative QFT and renormalization. Zbl 1241.81145
Grosse, H.; Wulkenhaar, R.
3
2006
Noncommutative QFT and renormalization. Zbl 1094.81050
Grosse, Harald; Wulkenhaar, Raimar
2
2006
Particle physics and the Schrödinger equation. Zbl 1096.81001
Grosse, Harald; Martin, André
1
2006
Renormalisation of \(\phi^4\)-theory on noncommutative \(\mathbb R^{4}\) in the matrix base. Zbl 1075.82005
Grosse, Harald; Wulkenhaar, Raimar
137
2005
Power-counting theorem for non-local matrix models and renormalisation. Zbl 1079.81049
Grosse, Harald; Wulkenhaar, Raimar
48
2005
Renormalisation of \(\Phi^4\)-theory on non-commutative \(\mathbb R^4\) to all orders. Zbl 1115.81055
Grosse, Harald; Wulkenhaar, Raimar
28
2005
Finite gauge theory on fuzzy \(\mathbb CP^2\). Zbl 1160.81410
Grosse, Harald; Steinacker, Harald
16
2005
The \(\beta \)-function in duality-covariant non-commutative \(f^{4}\phi^4\) -theory. Zbl 1191.81207
Grosse, Harald; Wulkenhaar, Raimar
42
2004
Noncommutative \(U(1)\) super-Yang-Mills theory: perturbative self-energy corrections. Zbl 1059.81168
Bichl, A. A.; Ertl, M.; Gerhold, A.; Grimstrup, J. M.; Popp, L.; Putz, V.; Schweda, M.; Grosse, H.; Wulkenhaar, R.
6
2004
Exact solution of a 1D quantum many-body system with momentum-dependent interactions. Zbl 1062.81027
Grosse, Harald; Langmann, Edwin; Paufler, Cornelius
1
2004
Regularisation and renormalisation of quantum field theories on noncommutative spaces. Zbl 1142.81365
Grosse, Harald; Wulkenhaar, Raimar
4
2003
Space/time non-commutative field theories and causality. Zbl 1030.81021
Bozkaya, H.; Fischer, P.; Grosse, H.; Pitschmann, M.; Putz, V.; Schweda, M.; Wulkenhaar, R.
3
2003
Field theory on the \(q\)-deformed fuzzy sphere. II: Quantization. Zbl 1130.81347
Grosse, H.; Madore, J.; Steinacker, H.
15
2002
Fuzzy line bundles, the Chern character and topological charges over the fuzzy sphere. Zbl 1030.46105
Grosse, Harald; Rupp, Christian W.; Strohmaier, Alexander
12
2002
Non-commutative Lorentz symmetry and the origin of the Seiberg-Witten map. Zbl 1099.81520
Bichl, A. A.; Grimstrup, J. M.; Grosse, H.; Kraus, E.; Popp, L.; Schweda, M.; Wulkenhaar, R.
7
2002
Fuzzy instantons. Zbl 1014.81054
Grosse, Harald; Maceda, Marco; Madore, John; Steinacker, Harold
4
2002
Strong connections and Chern-Connes pairing in the Hopf-Galois theory. Zbl 0990.58008
Dąbrowski, Ludwik; Grosse, Harald; Hajac, Piotr M.
26
2001
Field theory on the \(q\)-deformed fuzzy sphere. I. Zbl 1130.81346
Grosse, H.; Madore, J.; Steinacker, H.
17
2001
Duals for non-abelian lattice gauge theories by categorical methods. Zbl 0980.81046
Grosse, Harald; Schlesinger, Karl-Georg
1
2001
A suggestion for an integrability notion for two-dimensional spin systems. Zbl 1051.82005
Grosse, Harald; Schlesinger, Karl-Georg
1
2001
On a trialgebraic deformation of the Manin plane. Zbl 0966.58003
Grosse, Harald; Schlesinger, Karl-Georg
2
2000
On second quantization of quantum groups. Zbl 0973.81053
Grosse, Harald; Schlesinger, Karl-Georg
2
2000
Simple fuzzy (super)spaces. Zbl 1073.58500
Grosse, H.; Reiter, G.
1
2000
The superfield formalism applied to the noncommutative Wess-Zumino model. Zbl 0965.81117
Bichl, Andreas A.; Grimstrup, Jesper M.; Popp, Lukas; Schweda, Manfred; Grosse, Harald
1
2000
Generalized functions for quantum fields obeying quadratic exchange relations. Zbl 0986.81071
Grosse, H.; Oberguggenberger, M.; Todorov, I. T.
1
2000
Noncommutative geometry and the regularization problem of 4D quantum field theory. Zbl 0957.81090
Grosse, H.; Strohmaier, Alexander
14
1999
Graded differential geometry of graded matrix algebras. Zbl 0958.58004
Grosse, H.; Reiter, G.
5
1999
Geometry and quantum physics. Proceedings of the 38th internationale Universitätswochen für Kern- und Teilchenphysik, Schladming, Austria, January 9–16, 1999. Zbl 0963.00032
2
1999
A noncommutative regularization of the Schwinger model. Zbl 0920.46049
Grosse, H.; Prešnajder, P.
13
1998
The fuzzy supersphere. Zbl 0933.58002
Grosse, H.; Reiter, G.
8
1998
\(N=2\) superalgebra and non-commutative geometry. Zbl 0945.58009
Grosse, H.; Klimčík, C.; Prešnajder, P.
1
1998
Field theory on a supersymmetric lattice. Zbl 0874.46050
Grosse, H.; Klimčík, C.; Prešnajder, P.
29
1997
Particle physics and the Schrödinger equation. Zbl 0946.81003
Grosse, Harald; Martin, André
10
1997
The Luttinger-Schwinger model. Zbl 0908.58078
Grosse, Harald; Langmann, Edwin; Raschhofer, Ernst
5
1997
On finite 4D quantum field theory in non-commutative geometry. Zbl 0872.58008
Grosse, H.; Klimčík, C.; Prešnajder, P.
51
1996
Finite quantum field theory in noncommutative geometry. Zbl 0846.58015
Grosse, H.; Klimčík, C.; Prešnajder, P.
43
1996
Combinatorial quantization of the Hamiltonian Chern-Simons theory. II. Zbl 0842.58038
Alekseev, Anton Yu.; Grosse, Harald; Schomerus, Volker
36
1996
Topologically nontrivial field configurations in noncommutative geometry. Zbl 0920.58007
Grosse, H.; Klimčík, C.; Prešnajder, P.
35
1996
Simple field theoretical models on noncommutative manifolds. Zbl 0919.58005
Grosse, H.; Klimčík, C.; Prešnajder, P.
1
1996
Combinatorial quantization of the Hamiltonian Chern-Simons theory. I. Zbl 0842.58037
Alekseev, Anton Yu.; Grosse, Harald; Schomerus, Volker
46
1995
The Dirac operator on the fuzzy sphere. Zbl 0840.58011
Grosse, H.; Prešnajder, P.
43
1995
On a quantum group invariant spin chain with non-local boundary conditions. Zbl 0850.82004
Grosse, H.; Pallua, S.; Prester, P.; Raschhofer, E.
10
1994
Unitary representations of the \(q\)-oscillator algebra. Zbl 0834.17029
Chaichian, M.; Grosse, H.; Prešnajder, P.
8
1994
Bethe-Ansatz solution of a modified \(SU(3)-XXZ\)-model. Zbl 0860.58050
Grosse, H.; Raschhofer, E.
1
1994
On the relation between spin systems and fermion systems. Zbl 0941.82504
Grosse, H.; Popov, V. N.
1
1994
The construction of noncommutative manifolds using coherent states. Zbl 0813.46065
Grosse, H.; Prešnajder, P.
28
1993
Schwinger terms and cyclic cohomology for massive 1+1-dimensional fermions and Virasoro algebras. Zbl 0791.58021
Grosse, Harald; Maderner, Walter; Reitberger, Christian
1
1993
Novel symmetry of non-Einsteinian gravity in two dimensions. Zbl 0764.53052
Grosse, Harald; Kummer, Wolfgang; Prešnajder, Peter; Schwarz, Dominik J.
6
1992
The geometric phase and the Schwinger term in some models. Zbl 0972.81636
Grosse, H.; Langmann, E.
3
1992
On current superalgebras and super-Schwinger terms. Zbl 0726.17006
Grosse, H.; Langmann, E.
3
1991
On quantum holonomy for mixed states. Zbl 0734.46046
Dabrowski, L.; Grosse, H.
8
1990
The symmetry of the Hubbard model. Zbl 0704.60106
Grosse, H.
1
1989
A supersymmetric generalization of von Neumann’s theorem. Zbl 0639.17013
Grosse, H.; Pittner, L.
3
1988
Groups of automorphisms of the canonical commutation and anticommutation relations. Zbl 0655.46061
Grosse, H.; Pittner, L.
2
1988
Witten index, axial anomaly, and Krein’s spectral shift function in supersymmetric quantum mechanics. Zbl 0643.47005
Bollé, D.; Gesztesy, F.; Grosse, H.; Schweiger, W.; Simon, B.
29
1987
Supersymmetric quantum mechanics defined as sesquilinear forms. Zbl 0636.46068
Grosse, H.; Pittner, L.
13
1987
Quantization of fermions interacting with point-like external fields. Zbl 0635.46063
Falkensteiner, P.; Grosse, H.
8
1987
Krein’s spectral shift function and Fredholm determinants as efficient methods to study supersymmetric quantum mechanics. Zbl 0626.46062
Bollé, D.; Gesztesy, F.; Grosse, H.; Simon, B.
4
1987
Implementability of gauge transformations and quantization of fermions in external fields. Zbl 0622.46054
Grosse, H.; Karner, G.
3
1987
Unitary implementability of gauge transformations for the Dirichlet operator and the Schwinger term. Zbl 0663.35072
Falkensteiner, P.; Grosse, H.
1
1987
On nonlocal point interactions in one, two, and three dimensions. Zbl 0585.47038
Dabrowski, L.; Grosse, H.
8
1985
First-order relativistic corrections and spectral concentration. Zbl 0595.47007
Gesztesy, F.; Grosse, H.; Thaller, B.
4
1985
A rigorous approach to relativistic corrections of bound state energies for spin-1/2 particles. Zbl 0534.46053
Gesztesy, F.; Grosse, H.; Thaller, B.
16
1984
Solitons of the modified KdV equation. Zbl 0557.35117
Grosse, H.
5
1984
On bound state solutions for certain nonlinear Schrödinger equations. Zbl 0557.35030
Efinger, H. J.; Grosse, H.
1
1984
Time delay for long-range interactions. Zbl 0517.47007
Bolle, D.; Gesztesy, F.; Grosse, H.
8
1983
Bounds on the number of eigenvalues of the Schrödinger operator. Zbl 0373.35050
Glaser, V.; Grosse, H.; Martin, A.
18
1978
A family of optimal conditions for the absence of bound states in a potential. Zbl 0332.31004
Glaser, V.; Martin, A.; Grosse, H.; Thirring, W.
24
1976
all top 5

Cited by 718 Authors

48 Grosse, Harald
30 Rivasseau, Vincent
26 Wulkenhaar, Raimar
18 Gesztesy, Fritz
17 Wallet, Jean-Christophe
16 Gurau, Razvan Gheorghe
12 Tanasă, Adrian
11 Arai, Asao
11 Prešnajder, Peter
10 Carey, Alan L.
10 Langmann, Edwin
9 Ben Geloun, Joseph
9 Lechner, Gandalf
9 Sukochev, Fedor Anatol’evich
8 Brzeziński, Tomasz
8 Fatollahi, Amir H.
8 Meusburger, Catherine
8 Steinacker, Harold C.
7 Balachandran, Aiyalam P.
7 Dabrowski, Ludwik
7 de Goursac, Axel Marcillaud
7 Hasebe, Kazuki
7 Lotfizadeh, M.
7 Much, Albert
7 O’Connor, Denjoe
7 Pérez Sánchez, Carlos Ignacio
7 Steinacker, Harold
7 Szabo, Richard J.
7 Vignes-Tourneret, Fabien
7 Ydri, Badis
6 Khorrami, Mohammad
6 Levitina, Galina Borisovna
6 Livine, Etera R.
6 Wang, Zhituo
6 Yin, Jia
5 Kaad, Jens
5 Klimčík, Ctirad
5 Potapov, Denis
5 Sako, Akifumi
5 Schenkel, Alexander
5 Shariati, Ahmad
5 Simon, Barry
5 Tanimoto, Yoh
4 Blaschke, Daniel N.
4 Hajac, Piotr M.
4 Hock, Alexander
4 Kürkçüoğlu, Seçkin Kin
4 Landi, Giovanni
4 Osei, Prince K.
4 Ramgoolam, Sanjaye
4 Schroers, Bernd J.
4 Sitarz, Andrzej
4 Tiedra de Aldecoa, Rafael
4 Uhlmann, Armin
4 Valtancoli, Paolo
4 Vitale, Patrizia
3 Alekseev, Anton Yu.
3 Aschieri, Paolo
3 Bao, Weizhu
3 Bieliavsky, Pierre
3 Bonzom, Valentin
3 Calderón Martín, Antonio Jesús
3 Carow-Watamura, Ursula
3 Chakraborty, Biswajit
3 Covei, Dragoş-Pătru
3 D’Andrea, Francesco
3 de Woul, Jonas
3 Doplicher, Sergio
3 Fairfax, Simon A.
3 Frank, Rupert L.
3 Freidel, Laurent
3 Gratus, Jonathan
3 Ighezou, F-Z
3 Jurić, Tajron
3 Kimura, Yusuke
3 Lombard, R. J.
3 Madore, John
3 Magnen, Jacques
3 Majid, Shahn
3 Manolakos, George
3 Martin, André
3 Martinetti, Pierre
3 Noui, Karim
3 Oriti, Daniele
3 Pascalie, Romain
3 Poulain, Timothé
3 Reiter, Gert
3 Rieffel, Marc A.
3 Roche, Philippe
3 Sakhnovich, Alexander L.
3 Sämann, Christian
3 Solov’ev, Mikhaĭl Aleksandrovich
3 Sperling, Marcus
3 Stubbe, Joachim
3 Tomilov, Yuri
3 Vaidya, Sachindeo
3 van Suijlekom, Walter Daniël
3 Varshovi, Amir Abbass
3 Vassilevich, Dmitri V.
3 Wachter, Hartmut
...and 618 more Authors
all top 5

Cited in 107 Serials

94 Journal of Mathematical Physics
70 Communications in Mathematical Physics
55 Journal of High Energy Physics
51 Nuclear Physics. B
42 International Journal of Modern Physics A
33 Letters in Mathematical Physics
28 Journal of Geometry and Physics
19 Annales Henri Poincaré
13 Modern Physics Letters A
13 Reviews in Mathematical Physics
12 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
11 The European Physical Journal C. Particles and Fields
10 Classical and Quantum Gravity
10 Journal of Mathematical Analysis and Applications
9 Journal of Functional Analysis
9 Journal of Noncommutative Geometry
8 General Relativity and Gravitation
8 Theoretical and Mathematical Physics
8 Fortschritte der Physik
7 Advances in Mathematics
7 International Journal of Geometric Methods in Modern Physics
6 International Journal of Theoretical Physics
5 Journal of Differential Equations
5 Journal of Physics A: Mathematical and Theoretical
4 Journal of Statistical Physics
4 Annals of Physics
4 Annales de l’Institut Henri Poincaré. Physique Théorique
4 Journal of Mathematical Sciences (New York)
4 Foundations of Physics
3 Journal d’Analyse Mathématique
3 Physics Letters. B
3 Duke Mathematical Journal
3 Integral Equations and Operator Theory
3 Transactions of the American Mathematical Society
3 Communications in Partial Differential Equations
3 Mathematical Physics, Analysis and Geometry
3 Algebras and Representation Theory
3 Living Reviews in Relativity
3 Physical Review Letters
3 Advances in Mathematical Physics
2 International Journal of Modern Physics B
2 Reports on Mathematical Physics
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Applied Mathematics and Computation
2 Journal für die Reine und Angewandte Mathematik
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Journal of Scientific Computing
2 Linear Algebra and its Applications
2 International Journal of Modern Physics D
2 Vietnam Journal of Mathematics
2 Symmetry
2 Axioms
2 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD)
1 Computers & Mathematics with Applications
1 Discrete Mathematics
1 Journal of Computational Physics
1 Physics Letters. A
1 Physics Reports
1 Reviews of Modern Physics
1 Ukrainian Mathematical Journal
1 Mathematics of Computation
1 Chaos, Solitons and Fractals
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Acta Mathematica
1 Acta Mathematica Vietnamica
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Compositio Mathematica
1 Indiana University Mathematics Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Algebra
1 Journal of Computational and Applied Mathematics
1 Journal of Pure and Applied Algebra
1 Mathematische Nachrichten
1 Monatshefte für Mathematik
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Proceedings of the American Mathematical Society
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Results in Mathematics
1 Physica D
1 Applied Numerical Mathematics
1 Differential Geometry and its Applications
1 Expositiones Mathematicae
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Journal of Knot Theory and its Ramifications
1 Nuclear Physics. B. Proceedings Supplements
1 Calculus of Variations and Partial Differential Equations
1 St. Petersburg Mathematical Journal
1 Advances in Applied Clifford Algebras
1 Selecta Mathematica. New Series
1 Discrete and Continuous Dynamical Systems
1 Chaos
1 Czechoslovak Journal of Physics
1 Journal of Nonlinear Mathematical Physics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Physical Review D. Series III
1 Journal of Statistical Mechanics: Theory and Experiment
1 Journal of Mathematical Physics, Analysis, Geometry
1 Operators and Matrices
1 Mathematical Modelling of Natural Phenomena
1 Discrete and Continuous Dynamical Systems. Series S
...and 7 more Serials
all top 5

Cited in 50 Fields

503 Quantum theory (81-XX)
125 Relativity and gravitational theory (83-XX)
111 Global analysis, analysis on manifolds (58-XX)
107 Functional analysis (46-XX)
78 Partial differential equations (35-XX)
77 Differential geometry (53-XX)
62 Operator theory (47-XX)
55 Nonassociative rings and algebras (17-XX)
43 Associative rings and algebras (16-XX)
38 Statistical mechanics, structure of matter (82-XX)
20 Algebraic geometry (14-XX)
19 Manifolds and cell complexes (57-XX)
15 Linear and multilinear algebra; matrix theory (15-XX)
15 Topological groups, Lie groups (22-XX)
15 Mechanics of particles and systems (70-XX)
13 Numerical analysis (65-XX)
12 Ordinary differential equations (34-XX)
12 Dynamical systems and ergodic theory (37-XX)
11 Combinatorics (05-XX)
11 Group theory and generalizations (20-XX)
10 Several complex variables and analytic spaces (32-XX)
10 Algebraic topology (55-XX)
8 Probability theory and stochastic processes (60-XX)
7 Category theory; homological algebra (18-XX)
7 General topology (54-XX)
6 Mathematical logic and foundations (03-XX)
6 \(K\)-theory (19-XX)
6 Special functions (33-XX)
5 Real functions (26-XX)
3 General algebraic systems (08-XX)
3 Difference and functional equations (39-XX)
3 Sequences, series, summability (40-XX)
3 Integral equations (45-XX)
3 Statistics (62-XX)
3 Astronomy and astrophysics (85-XX)
2 History and biography (01-XX)
2 Number theory (11-XX)
2 Functions of a complex variable (30-XX)
2 Integral transforms, operational calculus (44-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Fluid mechanics (76-XX)
2 Information and communication theory, circuits (94-XX)
1 Measure and integration (28-XX)
1 Potential theory (31-XX)
1 Approximations and expansions (41-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Abstract harmonic analysis (43-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 Classical thermodynamics, heat transfer (80-XX)

Citations by Year

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