# zbMATH — the first resource for mathematics

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 Documents Indexed: 53 Publications since 1979, including 4 Books
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#### Co-Authors

 15 single-authored 14 Blanchard, Philippe 6 Coquereaux, Robert 3 Kastler, Daniel 3 Olkiewicz, Robert 2 Canarutto, Daniel 2 Modugno, Marco 2 Szulga, Jerzy 1 Bruhn, Gerhard W. 1 Hehl, Friedrich W. 1 Kondrat, Grzegorz 1 Ruschhaupt, Andreas
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#### Serials

 7 Reports on Mathematical Physics 7 Advances in Applied Clifford Algebras 2 Communications in Mathematical Physics 2 Reviews in Mathematical Physics 2 Physica D 1 Classical and Quantum Gravity 1 Helvetica Physica Acta 1 International Journal of Theoretical Physics 1 Physics Letters. A 1 Acta Applicandae Mathematicae 1 Annals of Physics 1 Journal of Physics A: Mathematical and General 1 ELA. The Electronic Journal of Linear Algebra 1 Annalen der Physik. 8th Series 1 Journal of Modern Optics 1 Acta Physica Polonica B 1 International Journal of Geometric Methods in Modern Physics 1 Lecture Notes in Physics 1 World Scientific Lecture Notes in Physics
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#### Fields

 31 Quantum theory (81-XX) 19 Differential geometry (53-XX) 13 Relativity and gravitational theory (83-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 5 Probability theory and stochastic processes (60-XX) 4 Nonassociative rings and algebras (17-XX) 4 Measure and integration (28-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 General and overarching topics; collections (00-XX) 2 Operator theory (47-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Partial differential equations (35-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX)

#### Citations contained in zbMATH

33 Publications have been cited 281 times in 212 Documents Cited by Year
Superspaces and supersymmetries. Zbl 0464.58006
1981
Geometry of multidimensional universes. Zbl 0519.53055
1983
Riemannian geometry, fiber bundles, Kaluza-Klein theories and all that. Zbl 0734.53002
1988
Graded Lie-Cartan pairs. II: The fermionic differential calculus. Zbl 0637.17013
1987
Symmetries of Einstein-Yang-Mills fields and dimensional reduction. Zbl 0589.53076
1985
Event-enhanced quantum theory and piecewise deterministic dynamics. Zbl 0834.60104
1995
Symmetry of Einstein-Yang-Mills systems and dimensional reduction. Zbl 0598.53069
1984
Quantum mechanics of a spin particle in a curved spacetime with absolute time. Zbl 0888.53052
1995
A scheme for Galilei general relativistic quantum mechanics. Zbl 1004.83518
1994
Conformal theories, curved phase spaces, relativistic wavelets and the geometry of complex domains. Zbl 0746.53038
1990
Geometry of gauge fields in multidimensional universe. Zbl 0552.53043
1984
Events and piecewise deterministic dynamics in event-enhanced quantum theory. Zbl 1020.81524
1995
On uniqueness of the jump process in event enhanced quantum theory. Zbl 0929.60084
Jadczyk, A.; Kondrat, G.; Olkiewicz, R.
1997
Differential and integral geometry of Grassmann algebras. Zbl 0729.53058
Coquereaux, R.; Jadczyk, A.; Kastler, D.
1991
Fundamental geometric structures for the Dirac equation in general relativity. Zbl 0986.83027
1998
On quantum jumps, events, and spontaneous localization models. Zbl 1222.81097
1995
Quantum statistical holonomy. Zbl 0693.46064
1989
On conformal infinity and compactifications of the Minkowski space. Zbl 1246.53098
2011
Time of events in quantum theory. Zbl 0868.53055
1996
How and when quantum phenomena become real. Zbl 1126.81300
1995
Graded Lie-Cartan pairs. I. Zbl 0656.17014
1988
A comment on “On the rotation matrix in Minkowski space-time” by Özdemir and Erdoğdu. Zbl 1306.15037
2014
Quantum fractals on $$n$$-spheres. Clifford algebra approach. Zbl 1160.81020
2007
Born’s reciprocity in the conformal domain. Zbl 0883.53055
1993
Harmonic expansion and dimensional reduction in G/H Kaluza-Klein theories. Zbl 0582.53053
1986
Quantum fractals. From Heisenberg’s uncertainty to Barnsley’s fractality. Zbl 1309.81007
2014
Geometry and shape of Minkowski’s space conformal infinity. Zbl 1251.83005
2012
Piecewise deterministic quantum dynamics and quantum fractals on the Poincaré disk. Zbl 1084.81012
2004
Time and events. Zbl 0909.47053
1998
Event-enhanced formalism of quantum theory or Columbus solution to the quantum measurement problem. Zbl 0942.81515
1995
Quantum mechanics with event dynamics. Zbl 0887.60095
1995
Conservation laws and string-like matter distributions. Zbl 0564.53043
1983
Lorentz transformation from an elementary point of view. Zbl 1356.15019
2016
Lorentz transformation from an elementary point of view. Zbl 1356.15019
2016
A comment on “On the rotation matrix in Minkowski space-time” by Özdemir and Erdoğdu. Zbl 1306.15037
2014
Quantum fractals. From Heisenberg’s uncertainty to Barnsley’s fractality. Zbl 1309.81007
2014
Geometry and shape of Minkowski’s space conformal infinity. Zbl 1251.83005
2012
On conformal infinity and compactifications of the Minkowski space. Zbl 1246.53098
2011
Quantum fractals on $$n$$-spheres. Clifford algebra approach. Zbl 1160.81020
2007
Piecewise deterministic quantum dynamics and quantum fractals on the Poincaré disk. Zbl 1084.81012
2004
Fundamental geometric structures for the Dirac equation in general relativity. Zbl 0986.83027
1998
Time and events. Zbl 0909.47053
1998
On uniqueness of the jump process in event enhanced quantum theory. Zbl 0929.60084
Jadczyk, A.; Kondrat, G.; Olkiewicz, R.
1997
Time of events in quantum theory. Zbl 0868.53055
1996
Event-enhanced quantum theory and piecewise deterministic dynamics. Zbl 0834.60104
1995
Quantum mechanics of a spin particle in a curved spacetime with absolute time. Zbl 0888.53052
1995
Events and piecewise deterministic dynamics in event-enhanced quantum theory. Zbl 1020.81524
1995
On quantum jumps, events, and spontaneous localization models. Zbl 1222.81097
1995
How and when quantum phenomena become real. Zbl 1126.81300
1995
Event-enhanced formalism of quantum theory or Columbus solution to the quantum measurement problem. Zbl 0942.81515
1995
Quantum mechanics with event dynamics. Zbl 0887.60095
1995
A scheme for Galilei general relativistic quantum mechanics. Zbl 1004.83518
1994
Born’s reciprocity in the conformal domain. Zbl 0883.53055
1993
Differential and integral geometry of Grassmann algebras. Zbl 0729.53058
Coquereaux, R.; Jadczyk, A.; Kastler, D.
1991
Conformal theories, curved phase spaces, relativistic wavelets and the geometry of complex domains. Zbl 0746.53038
1990
Quantum statistical holonomy. Zbl 0693.46064
1989
Riemannian geometry, fiber bundles, Kaluza-Klein theories and all that. Zbl 0734.53002
1988
Graded Lie-Cartan pairs. I. Zbl 0656.17014
1988
Graded Lie-Cartan pairs. II: The fermionic differential calculus. Zbl 0637.17013
1987
Harmonic expansion and dimensional reduction in G/H Kaluza-Klein theories. Zbl 0582.53053
1986
Symmetries of Einstein-Yang-Mills fields and dimensional reduction. Zbl 0589.53076
1985
Symmetry of Einstein-Yang-Mills systems and dimensional reduction. Zbl 0598.53069
1984
Geometry of gauge fields in multidimensional universe. Zbl 0552.53043
1984
Geometry of multidimensional universes. Zbl 0519.53055
1983
Conservation laws and string-like matter distributions. Zbl 0564.53043
1983
Superspaces and supersymmetries. Zbl 0464.58006
1981
all top 5

#### Cited by 241 Authors

 17 Jadczyk, Arkadiusz 9 Pestov, Vladimir G. 8 Bruzzo, Ugo 8 Cianci, Roberto 7 Coquereaux, Robert 6 Canarutto, Daniel 6 Vitolo, Raffaele F. 5 Blanchard, Philippe 5 Modugno, Marco 4 Chruściel, Piotr Tadeusz 4 Janyška, Josef 4 Olkiewicz, Robert 4 Rudolph, Gerd 3 Calixto, Manuel 3 Castro, Carlos 3 Dzhunushaliev, Vladimir 3 Fulp, Ronald Owen 3 Khrennikov, Andreĭ Yur’evich 3 Marcinek, Władysław 3 Nikolov, Petko A. 3 Nikolova, Lora 3 Rizov, Ventseslav A. 2 Bartocci, Claudio 2 Bejancu, Aurel 2 Betounes, David E. 2 Ciupală, Cătălin 2 Cook, James S. 2 de Urríes, F. J. 2 Emmrich, Claudio 2 Feng, Zhiming 2 Franco, Daniel H. T. 2 Frydryszak, Andrzej M. 2 Grosse, Harald 2 Heusler, Markus 2 Hoyos, Juan Víctor 2 Il’ichov, Leonid V. 2 Kastler, Daniel 2 Kupsch, Joachim 2 Légaré, Martin 2 Leśniak, Krzysztof 2 Marmo, Giuseppe 2 Mittelbrunn, J. Ramírez 2 Ozdemir, Mustafa Kemal 2 Pérez-Romero, Emilio 2 Quiros, Mariano 2 Ragoucy, Eric 2 Reiter, Gert 2 Rogers, Alice 2 Saller, Dirk 2 Teofilatto, Paolo 2 Tomilin, Vladimir A. 2 Tumulka, Roderich 2 Volovich, Igor’ Vasil’evich 2 Xu, Yunge 1 Abbati, Maria Cristina 1 Alpay, Daniel Aron 1 Amann, Anton 1 Anderson, Ian M. 1 Anglès, Pierre 1 Azarmi, Soheyla 1 Azizpour, Esmaeil 1 Bartnik, Robert A. 1 Bassi, Angelo 1 Beltrametti, Enrico G. 1 Berasaluce-González, Mikel 1 Bonora, Losiano 1 Borowiec, Andrzej Zdzisław 1 Brodbeck, Othmar 1 Budini, Adrián A. 1 Bugajski, Sławomir 1 Cabras, Antonella 1 Călin, Constantin 1 Cámara, Pablo G. 1 Cantrijn, Frans 1 Carollo, Angelo C. M. 1 Cassani, Davide 1 Castro, Carlos A. 1 Catenacci, Roberto 1 Chaturvedi, Soni 1 Cho, Yongmin 1 Cianci, Robert 1 Costa, João Lopes 1 Czajko, Jakub 1 Darian, B. K. 1 Delay, Erwann 1 Dittmann, Jochen 1 Doran, Chris J. L. 1 Douzas, George 1 Dürr, Detlef 1 Egeileh, Michel 1 Ekici, Cumali 1 Ercolessi, Elisa 1 Erdoğdu, Melek 1 Esposito-Farèse, Gilles 1 Fatibene, Lorenzo 1 Fels, Mark E. 1 Fesser, Dirk 1 Filk, Thomas 1 Fošner, Ajda 1 Francaviglia, Mauro ...and 141 more Authors
all top 5

#### Cited in 62 Serials

 37 Journal of Mathematical Physics 24 Journal of Geometry and Physics 13 Letters in Mathematical Physics 10 Reports on Mathematical Physics 10 International Journal of Geometric Methods in Modern Physics 8 Communications in Mathematical Physics 8 Reviews in Mathematical Physics 8 Advances in Applied Clifford Algebras 5 International Journal of Theoretical Physics 5 Theoretical and Mathematical Physics 5 Differential Geometry and its Applications 5 Foundations of Physics 4 International Journal of Modern Physics A 4 General Relativity and Gravitation 4 Nuclear Physics. B 4 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Bulletin of the Australian Mathematical Society 2 Chaos, Solitons and Fractals 2 Fortschritte der Physik 2 Transactions of the American Mathematical Society 2 Acta Applicandae Mathematicae 2 Nuclear Physics, B, Proceedings Supplements 2 Journal of High Energy Physics 2 Living Reviews in Relativity 2 Annales Henri Poincaré 2 The European Physical Journal C. Particles and Fields 2 Journal of Physics A: Mathematical and Theoretical 2 Annalen der Physik 1 Communications in Algebra 1 Journal of Statistical Physics 1 Physics Letters. A 1 Physics Reports 1 Reviews of Modern Physics 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 1 Czechoslovak Mathematical Journal 1 Integral Equations and Operator Theory 1 Kodai Mathematical Journal 1 Rendiconti del Seminario Matematico della Università di Padova 1 Topology and its Applications 1 Physica D 1 Annals of Physics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 Russian Mathematics 1 International Journal of Modern Physics D 1 Applied and Computational Harmonic Analysis 1 Journal of Mathematical Sciences (New York) 1 ELA. The Electronic Journal of Linear Algebra 1 Journal of Mathematical Chemistry 1 Mathematical Physics, Analysis and Geometry 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Chaos 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Acta Mathematica Sinica. English Series 1 Journal of Modern Optics 1 Czechoslovak Journal of Physics 1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 1 Complex Analysis and Operator Theory 1 Advances in High Energy Physics 1 Bulletin of Mathematical Analysis and Applications 1 Advances in Mathematical Physics 1 Advances in Pure and Applied Mathematics
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#### Cited in 38 Fields

 100 Quantum theory (81-XX) 69 Differential geometry (53-XX) 68 Global analysis, analysis on manifolds (58-XX) 55 Relativity and gravitational theory (83-XX) 27 Nonassociative rings and algebras (17-XX) 25 Functional analysis (46-XX) 22 Linear and multilinear algebra; matrix theory (15-XX) 15 Mechanics of particles and systems (70-XX) 14 Topological groups, Lie groups (22-XX) 10 Associative rings and algebras (16-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Algebraic topology (55-XX) 8 Several complex variables and analytic spaces (32-XX) 7 Partial differential equations (35-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Operator theory (47-XX) 5 Category theory; homological algebra (18-XX) 5 Manifolds and cell complexes (57-XX) 3 Algebraic geometry (14-XX) 3 Probability theory and stochastic processes (60-XX) 2 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 2 General topology (54-XX) 2 Optics, electromagnetic theory (78-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)