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A Measure Theoretical Approach to Quantum Stochastic Processes Book PDF 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.

Detail Book of A Measure Theoretical Approach to Quantum Stochastic Processes PDF

A Measure Theoretical Approach to Quantum Stochastic Processes
  • Author : Wilhelm von Waldenfels
  • Release : 04 December 2013
  • Publisher : Springer
  • ISBN : 3642450830
  • Genre : Science
  • Total Page : 228 pages
  • Language : English
  • PDF File Size : 10,6 Mb

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