A Measure Theoretical Approach to Quantum Stochastic Processes 2014 Edition Contributor(s): Waldenfels, Wilhelm (Author) |
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ISBN: 3642450814 ISBN-13: 9783642450815 Publisher: Springer OUR PRICE: $56.99 Product Type: Paperback Published: December 2013 |
Additional Information |
BISAC Categories: - Science | Physics - Quantum Theory - Science | Physics - Mathematical & Computational |
Dewey: 530.12 |
Series: Lecture Notes in Physics |
Physical Information: 0.52" H x 6.14" W x 9.21" (0.78 lbs) 228 pages |
Descriptions, Reviews, Etc. |
Publisher Description: 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. |