| Description |
1 online resource (xvii, 228 pages) |
| Series |
Lecture notes in physics, 0075-8450 ; volume 878 |
|
Lecture notes in physics ; 878. 0075-8450
|
| Contents |
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 |
| Summary |
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 |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Online resource; title from PDF title page (SpringerLink, viewed March 20, 2014) |
| Subject |
Quantum measure theory.
|
|
Quantum statistics.
|
|
Stochastic processes -- Mathematical models
|
|
Physique.
|
|
Astronomie.
|
|
Quantum measure theory
|
|
Quantum statistics
|
|
Stochastic processes -- Mathematical models
|
| Form |
Electronic book
|
| ISBN |
9783642450822 |
|
3642450822 |
|
