A Measure Theoretical Approach to Quantum Stochastic Processes - Couverture souple

Waldenfels, Wilhelm

Couverture souple

ISBN 10 : 3642450814 ISBN 13 : 9783642450815

Editeur : Springer, 2013

Synopsis

This monograph takes as starting point that abstract quantum stochastic processes can be understood as a quantum field theory in one space and in one time coordinate. As a result it is appropriate to represent operators as power series of creation and annihilation operators in normal-ordered form, which can be achieved using classical measure theory.

Considering in detail four basic examples (e.g. a two-level atom coupled to a heat bath of oscillators), in each case the Hamiltonian of the associated one-parameter strongly continuous group is determined and the spectral decomposition is explicitly calculated in the form of generalized eigen-vectors.

Advanced topics include the theory of the Hudson-Parthasarathy equation and the amplified oscillator problem. To that end, a chapter on white noise calculus has also been included.

A propos du livre

Présentation de l'éditeur

Starting from the premise that abstract quantum stochastic processes can be understood as a quantum field theory in one space and time coordinate, this guide considers a number of representative examples and covers advanced topics such as white noise calculus.

Détails de l'édition

• Éditeur: Springer
• Date d'édition: 2013
• Langue: anglais
• ISBN 10: 3642450814
• ISBN 13: 9783642450815
• Reliure: Broché
• Nombre de pages: 248
• Coordonnées du fabricant: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Allemagne