# zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 21 Publications since 1970, including 1 Book

#### Co-Authors

 19 single-authored 1 Langmann, Edwin 1 Nagel, Bengt
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#### Serials

 4 Communications in Mathematical Physics 3 Journal of Physics A: Mathematical and General 3 Physica Scripta 2 Journal of Mathematical Physics 2 Journal of Statistical Physics 2 Letters in Mathematical Physics 1 Reports on Mathematical Physics 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 1 Mathematical Physics Studies
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#### Fields

 11 Quantum theory (81-XX) 8 Functional analysis (46-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Probability theory and stochastic processes (60-XX) 5 Operator theory (47-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Mechanics of particles and systems (70-XX)

#### Citations contained in zbMATH Open

17 Publications have been cited 885 times in 810 Documents Cited by Year
On the generators of quantum dynamical semigroups. Zbl 0343.47031
1976
Completely positive maps and entropy inequalities. Zbl 0298.46062
1975
Expectations and entropy inequalities for finite quantum systems. Zbl 0294.46052
1974
Brownian motion of a quantum harmonic oscillator. Zbl 0365.60071
1976
Non-Markovian quantum stochastic processes and their entropy. Zbl 0425.60093
1979
A general no-cloning theorem. Zbl 0922.47065
1999
Non-equilibrium entropy and irreversibility. Zbl 0519.60099
1983
Cloning the quantum oscillator. Zbl 1005.81506
2000
Gaussian quantum stochastic processes on the CCR algebra. Zbl 0425.60094
1979
Brownian motion of quantum harmonic oscillators: Existence of a subdynamics. Zbl 1001.82064
1998
Continuous bases for unitary irreducible representations of SU(1,1). Zbl 0203.57202
1970
On the existence of quantum subdynamics. Zbl 0904.46056
1996
Determinism and randomness in quantum dynamics. Zbl 0820.60099
1993
Eigenfunction expansions associated with unitary irreducible representations of $$\text{SU}(1,\,1)$$. Zbl 1063.81661
1970
Irreversibility and randomness in linear response theory. Zbl 1100.82517
1993
Fermi’s golden rule and exponential decay as a RG fixed point. Zbl 1166.82008
2009
Dynamical entropy for quantum systems. Zbl 0638.46046
1988
Fermi’s golden rule and exponential decay as a RG fixed point. Zbl 1166.82008
2009
Cloning the quantum oscillator. Zbl 1005.81506
2000
A general no-cloning theorem. Zbl 0922.47065
1999
Brownian motion of quantum harmonic oscillators: Existence of a subdynamics. Zbl 1001.82064
1998
On the existence of quantum subdynamics. Zbl 0904.46056
1996
Determinism and randomness in quantum dynamics. Zbl 0820.60099
1993
Irreversibility and randomness in linear response theory. Zbl 1100.82517
1993
Dynamical entropy for quantum systems. Zbl 0638.46046
1988
Non-equilibrium entropy and irreversibility. Zbl 0519.60099
1983
Non-Markovian quantum stochastic processes and their entropy. Zbl 0425.60093
1979
Gaussian quantum stochastic processes on the CCR algebra. Zbl 0425.60094
1979
On the generators of quantum dynamical semigroups. Zbl 0343.47031
1976
Brownian motion of a quantum harmonic oscillator. Zbl 0365.60071
1976
Completely positive maps and entropy inequalities. Zbl 0298.46062
1975
Expectations and entropy inequalities for finite quantum systems. Zbl 0294.46052
1974
Continuous bases for unitary irreducible representations of SU(1,1). Zbl 0203.57202
1970
Eigenfunction expansions associated with unitary irreducible representations of $$\text{SU}(1,\,1)$$. Zbl 1063.81661
1970
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#### Cited by 1,053 Authors

 20 Shirokov, Maksim Evgen’evich 12 Barchielli, Alberto 12 Benatti, Fabio 12 Kholevo, Aleksandr Semënovich 10 Alicki, Robert 10 Evans, David E. 10 Frigerio, Alberto 10 Isar, Aurelian 10 Kossakowski, Andrzej 9 Chruściński, Dariusz 9 Huang, Zhiming 9 Ruskai, Mary Beth 9 Vacchini, Bassano 9 Wilde, Mark M. 8 Accardi, Luigi 8 Chebotarev, Alexandr M. 8 Fagnola, Franco 8 Fannes, Mark 8 Gough, John E. 8 López, José Luis 8 Petruccione, Francesco 7 Petz, Dénes 7 Rebolledo Berroeta, Rolando 6 Carlen, Eric Anders 6 Clark, Jeremy Thane 6 De Roeck, Wojciech 6 Floreanini, Roberto 6 Lindblad, Göran 6 Luo, Shunlong 6 Parthasarathy, Kalyanapuram Rangachari 6 Pellegrini, Clément 6 Teretenkov, Alexander E. 6 Ticozzi, Francesco 6 Wolf, Michael Marc 5 Belavkin, Viacheslav 5 Cubitt, Toby S. 5 Davies, Edward Brian 5 Fraas, Martin 5 James, Matthew R. 5 Ji, Yinghua 5 Lieb, Elliott H. 5 Marmo, Giuseppe 5 Narnhofer, Heide 5 Petersen, Ian Richard 5 Sandulescu, Aurel 5 Scheid, Werner 5 Smolyanov, Oleg Georgievich 5 Tarasov, Vasily E. 5 Trushechkin, Anton Sergeevich 5 Umanità, Veronica 5 Wang, Zisheng 4 Avron, Joseph E. 4 Benoist, Tristan 4 Berta, Mario 4 Datta, Nilanjana 4 Hu, Juju 4 Hudson, Robin Lyth 4 Huelga, Susana F. 4 Jiang, Linan 4 Lindsay, J. Martin 4 Lucia, Angelo 4 Maes, Christian 4 Man’ko, Vladimir Ivanovich 4 Montejo-Gámez, Jesús 4 Pautrat, Yan 4 Pérez-García, David 4 Renner, Renato 4 Rouzé, Cambyse 4 Temme, Kristan 4 Tomamichel, Marco 4 Winter, Andreas 4 Życzkowski, Karol 3 Albeverio, Sergio A. 3 Allahverdyan, Armen E. 3 Androulakis, George 3 Applebaum, David B. 3 Bardet, Ivan 3 Bernard, Denis 3 Breuer, Heinz-Peter 3 Cao, Yu 3 Czerwiński, Artur 3 Das, Siddhartha 3 Diósi, Lajos 3 Eisert, Jens 3 Espoukeh, Pakhshan 3 Facchi, Paolo 3 Frank, Rupert L. 3 Gambini, Rodolfo 3 Gaspard, Pierre 3 Gisin, Nicolas 3 Gorini, Vittorio 3 Graf, Gian Michele 3 Haba, Zbigniew 3 Jamiołkowski, Andrzej 3 Ji, Un Cig 3 Jing, Jiliang 3 Jørgensen, Palle E. T. 3 Kastoryano, Michael J. 3 Ke, Qiang 3 Kirchanov, V. S. ...and 953 more Authors
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#### Cited in 136 Serials

 97 Journal of Mathematical Physics 59 Communications in Mathematical Physics 55 International Journal of Theoretical Physics 36 Open Systems & Information Dynamics 34 Quantum Information Processing 30 Journal of Statistical Physics 25 New Journal of Physics 21 Theoretical and Mathematical Physics 18 Letters in Mathematical Physics 18 Physical Review Letters 17 Journal of Physics A: Mathematical and Theoretical 16 International Journal of Quantum Information 15 Mathematical Notes 15 Journal of Functional Analysis 15 Journal of High Energy Physics 15 Annales Henri Poincaré 15 Foundations of Physics 14 Reviews in Mathematical Physics 13 Reports on Mathematical Physics 12 Infinite Dimensional Analysis, Quantum Probability and Related Topics 11 Linear Algebra and its Applications 9 International Journal of Modern Physics B 8 Lobachevskii Journal of Mathematics 8 Journal of Statistical Mechanics: Theory and Experiment 8 Physical Review A, Third Series 7 Problems of Information Transmission 6 Physics Reports 6 Automatica 6 Journal of Soviet Mathematics 6 Physica D 5 Reviews of Modern Physics 5 Annales de l’Institut Henri Poincaré. Physique Théorique 5 Proceedings of the Steklov Institute of Mathematics 4 Nuclear Physics. B 4 Advances in Mathematics 4 Proceedings of the American Mathematical Society 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Journal of Mathematical Sciences (New York) 4 Chaos 4 Entropy 4 International Journal of Geometric Methods in Modern Physics 3 General Relativity and Gravitation 3 Journal of Computational Physics 3 Journal of Mathematical Analysis and Applications 3 Journal of Geometry and Physics 3 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 3 Mathematische Zeitschrift 3 Acta Mathematica Hungarica 3 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 International Journal of Modern Physics A 2 Classical and Quantum Gravity 2 Physica A 2 Transport Theory and Statistical Physics 2 Chaos, Solitons and Fractals 2 Theory of Probability and its Applications 2 Journal of Computer and System Sciences 2 Journal of Differential Equations 2 Rendiconti del Seminario Matemàtico e Fisico di Milano 2 Stochastic Analysis and Applications 2 Acta Applicandae Mathematicae 2 Probability Theory and Related Fields 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Annals of Physics 2 Stochastic Processes and their Applications 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Doklady Mathematics 2 Positivity 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Journal of Modern Optics 2 Physical Review E. Third Series 2 Advances in High Energy Physics 2 Communications in Theoretical Physics 2 Annalen der Physik 2 Nanoscale Systems: Mathematical Modeling, Theory and Applications 2 Quantum Studies: Mathematics and Foundations 1 Modern Physics Letters A 1 Modern Physics Letters B 1 Computers & Mathematics with Applications 1 European Journal of Physics 1 International Journal of Control 1 Indian Journal of Pure & Applied Mathematics 1 Linear and Multilinear Algebra 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Moscow University Mathematics Bulletin 1 Periodica Mathematica Hungarica 1 Physics Letters. A 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Acta Mathematica 1 Annales de l’Institut Fourier 1 Applied Mathematics and Optimization 1 Journal of Computational and Applied Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Journal of Mathematical Psychology 1 Mathematica Slovaca 1 Nagoya Mathematical Journal 1 Quarterly of Applied Mathematics 1 Semigroup Forum 1 SIAM Journal on Control and Optimization 1 Transactions of the American Mathematical Society ...and 36 more Serials
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#### Cited in 45 Fields

 614 Quantum theory (81-XX) 221 Statistical mechanics, structure of matter (82-XX) 171 Functional analysis (46-XX) 145 Operator theory (47-XX) 126 Probability theory and stochastic processes (60-XX) 113 Information and communication theory, circuits (94-XX) 45 Partial differential equations (35-XX) 37 Relativity and gravitational theory (83-XX) 26 Linear and multilinear algebra; matrix theory (15-XX) 22 Systems theory; control (93-XX) 21 Dynamical systems and ergodic theory (37-XX) 16 Computer science (68-XX) 12 Ordinary differential equations (34-XX) 12 Statistics (62-XX) 10 Optics, electromagnetic theory (78-XX) 10 Classical thermodynamics, heat transfer (80-XX) 9 Measure and integration (28-XX) 9 Fluid mechanics (76-XX) 8 Mechanics of particles and systems (70-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Numerical analysis (65-XX) 5 Combinatorics (05-XX) 5 Nonassociative rings and algebras (17-XX) 5 Topological groups, Lie groups (22-XX) 5 Real functions (26-XX) 5 Differential geometry (53-XX) 4 Associative rings and algebras (16-XX) 4 Group theory and generalizations (20-XX) 4 Operations research, mathematical programming (90-XX) 4 Biology and other natural sciences (92-XX) 3 General and overarching topics; collections (00-XX) 3 Mathematical logic and foundations (03-XX) 3 Special functions (33-XX) 3 General topology (54-XX) 2 History and biography (01-XX) 2 Functions of a complex variable (30-XX) 2 Potential theory (31-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mechanics of deformable solids (74-XX) 2 Astronomy and astrophysics (85-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX)