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Noncommutative mathematics for quantum systems /

"Discusses two current areas of noncommutative mathematics, quantum probability and quantum dynamical systems"--

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Franz, Uwe (Autor), Skalski, Adam, 1978- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York : Cambridge University Press, [2016]
Colección:Cambridge - IISc series.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Franz, Uwe,  |e author. 
245 1 0 |a Noncommutative mathematics for quantum systems /  |c Uwe Franz, Adam Skalski. 
264 1 |a New York :  |b Cambridge University Press,  |c [2016] 
300 |a 1 online resource (xviii, 180 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
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490 1 |a Cambridge - IISc series 
504 |a Includes bibliographical references and index. 
520 |a "Discusses two current areas of noncommutative mathematics, quantum probability and quantum dynamical systems"--  |c Provided by publisher 
588 0 |a Print version record. 
505 0 |a Cover; Title; Copyright; Dedication; Contents; Preface; Conference photo; Introduction; 1 Independence and Lévy Processes in Quantum Probability; 1.1 Introduction; 1.2 What is Quantum Probability?; 1.2.1 Distinguishing features of classical and quantum probability; 1.2.2 Dictionary 'Classical ₄!Quantum'; 1.3 Why do we Need Quantum Probability?; 1.3.1 Mermin's version of the EPR experiment; 1.3.2 Gleason's theorem; 1.3.3 The Kochen-Specker theorem; 1.4 Infinite Divisibility in Classical Probability; 1.4.1 Stochastic independence; 1.4.2 Convolution. 
505 8 |a 1.4.3 Infinite divisibility, continuous convolution semigroups, and Lévy processes1.4.4 The De Finetti-Lévy-Khintchine formula on (R+, +); 1.4.5 Lévy-Khintchine formulae on cones; 1.4.6 The Lévy-Khintchine formula on (Rd, +); 1.4.7 The Markov semigroup of a Lévy process; 1.4.8 Hunt's formula; 1.5 Lévy Processes on Involutive Bialgebras. 
505 8 |a 1.5.1 Definition of Lévy processes on involutive bialgebras 1.5.2 The generating functional of a Lévy process ; 1.5.3 The Schürmann triple of a Lévy process; 1.5.4 Examples. 
505 8 |a 1.6 Lévy Processes on Compact Quantum Groups and their Markov Semigroups 1.6.1 Compact quantum groups; 1.6.2 Translation invariant Markov semigroups; 1.7 Independences and Convolutions in Noncommutative Probability; 1.7.1 Nevanlinna theory and Cauchy-Stieltjes transforms; 1.7.2 Free convolutions; 1.7.3 A useful Lemma; 1.7.4 Monotone convolutions. 
505 8 |a 1.7.5 Boolean convolutions1.8 The Five Universal Independences; 1.8.1 Algebraic probability spaces; 1.8.2 Classical stochastic independence and the product of probability spaces; 1.8.3 Products of algebraic probability spaces; 1.8.4 Classification of the universal independences; 1.9 Lévy Processes on Dual Groups ; 1.9.1 Dual groups. 
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650 0 |a Quantum theory. 
650 0 |a Potential theory (Mathematics) 
650 2 |a Probability 
650 2 |a Quantum Theory 
650 6 |a Probabilités. 
650 6 |a Théorie quantique. 
650 6 |a Théorie du potentiel. 
650 7 |a probability.  |2 aat 
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650 7 |a SCIENCE  |x Mechanics  |x General.  |2 bisacsh 
650 7 |a SCIENCE  |x Physics  |x General.  |2 bisacsh 
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650 7 |a Probabilities.  |2 fast  |0 (OCoLC)fst01077737 
650 7 |a Quantum theory.  |2 fast  |0 (OCoLC)fst01085128 
700 1 |a Skalski, Adam,  |d 1978-  |e author. 
776 0 8 |i Print version:  |a Franz, Uwe.  |t Noncommutative mathematics for quantum systems  |z 9781107148055  |w (DLC) 2015032903  |w (OCoLC)919316281 
830 0 |a Cambridge - IISc series. 
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