QUANTUM MARKOV FIELDS

QUANTUM MARKOV FIELDS
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量子马尔可夫场

DOI:
10.1142/s0219025703001079
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发表时间:
2003
期刊:
Infinite Dimensional Analysis, Quantum Probability and Related Topics
影响因子:
--
通讯作者:
F. Fidaleo
F. Fidaleo
中科院分区:
--
文献类型:
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作者:
L. Accardi;F. Fidaleo

文献摘要

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研究了广义条件期望下量子晶格系统的马尔可夫性。指出了量子马氏场的一般性质(特例),即具有多维指标的量子马氏过程。这样,与KMS边界条件的深层联系以及相变和对称破缺现象就自然而然地出现了。
The Markov property for quantum lattice systems is investigated in terms of generalized conditional expectations. General properties of (particular cases of) quantum Markov fields, i.e. quantum Markov processes with multi-dimensional indices, are pointed out. In such a way, deep connections with the KMS boundary condition, as well as phenomena of phase transitions and symmetry breaking, naturally emerge.