A Measure Theoretical Approach to Quantum Stochastic Processes | 被動收入的投資秘訣 - 2024年7月

A Measure Theoretical Approach to Quantum Stochastic Processes

作者:Waldenfels, Wilhelm
出版社:
出版日期:2013年12月12日
ISBN:9783642450815
語言:繁體中文
售價:3000元

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.


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