A Measure Theoretical Approach to Quantum Stochastic Processes
Abstract/Sommario:
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 o ...; [leggi tutto]
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| Descrizione | A Measure Theoretical Approach to Quantum Stochastic Processes / by Wilhelm Waldenfels. - XVII, 228 p ; online resource. - (Lecture Notes in Physics ; 878) |
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Weyl Algebras -- Continuous Sets of Creation and Annihilation Operators -- One-Parameter Groups -- Four Explicitly Calculable One-Excitation Processes -- White Noise Calculus -- Circled Integrals -- White Noise Integration -- The Hudson-Parthasarathy Differential Equation -- The Amplifies Oscillator -- Approximation by Coloured Noise -- Index. - Springer eBooks. - Printed edition: 9783642450815
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| ID scheda | 133280 |
| Permalink | https://www.opac.inaf.it/?ids=133280 |