Quantum Probability And Related Topics: Qp-pq (Volume Ix) (Qp-Pq: Quantum Probability and White Noise Analysis, Band 6) - Softcover

Accardi, L.

Softcover

ISBN 10: 9810207166 ISBN 13: 9789810207168

Verlag: World Scientific Publishing Co Pte Ltd, 1991

Inhaltsangabe

This volume contains several surveys of important developments in quantum probability. The new type of quantum central limit theorems, based on the notion of free independence rather than the usual Boson or Fermion independence is discussed. A surprising result is that the role of the Gaussian for this new type of independence is played by the Wigner distribution. This motivated the introduction of new type of quantum independent increments noise, the free noise and the corresponding stochastic calculus. A further generalization, the ϖ-noises, is discussed. The free stochastic calculus is shown to be able to fit naturally into the general representation free calculus. The basic free are shown to be realized as non-adapted stochastic integrals with respect to the usual Boson white noises. Quantum noise on the finite difference algebra is expressed in terms of the usual Boson white noises. A new quantum way of looking at classical stochastic flows, in particular diffusions on Riemannian Manifolds is explained. Quantum groups are discussed from the point of view of possible applications to quantum probability. The applications of quantum probability to physics are surveyed.

Details zur Ausgabe

• Verlag: World Scientific Publishing Co Pte Ltd
• Erscheinungsdatum: 1991
• Sprache: Englisch
• ISBN 10: 9810207166
• ISBN 13: 9789810207168
• Einband: Taschenbuch
• Anzahl der Seiten: 532
• Kontakt zum Hersteller: World Scientific Publishing; https://www.worldscientific.com/; ; 5 Toh Tuck Link; #01-01; 596224; Singapur
• Verantwortliche Person: Nicht verfügbar