The strong Markov property for fermion Brownian motion
The strong Markov property for fermion Brownian motion
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DOI：
10.1016/0022-1236(86)90012-1
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发表时间：
1986-02
影响因子：
1.7
通讯作者：
D. Applebaum
中科院分区：
文献类型：
--
作者：
D. Applebaum
A concept of independence of W 2∗-algebras is developed which is the fermion analogue of independence of von Neumann algebras for bosons. For a fermion Brownian motion process {A (t), A†(t); t∈ R+}(D. Applebaum,“Fermion Stochastic Calculus”, Ph. D. thesis, University of Nottingham, 1984) and a Markov time T=∝ 0∞ λ dE (λ), it is shown that the process {A (T+ t)− A (T), A†(T+ t)− A†(T); t∈ R+}, whose components are defined as spectral integrals with operator-valued integrands as in (RL Hudson, J. Funct. Anal. 34 (1979), 266), constitutes a new fermion Brownian motion process such that the “pre-T” and “post-T” W 2∗-algebras are independent.
