Sufficient Conditions for Conservativity of Minimal Quantum Dynamical Semigroups

Sufficient Conditions for Conservativity of Minimal Quantum Dynamical Semigroups
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DOI:
10.1006/jfan.1997.3189
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发表时间:
1997-11
影响因子:
1.7
通讯作者:
A. Chebotarev;F. Fagnola
A. Chebotarev;F. Fagnola
中科院分区:
数学1区
文献类型:
--
作者:
A. Chebotarev;F. Fagnola

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摘要证明了极小量子动力学半群的守恒性,只要存在一个由无穷小生成元的耗散部分从下有界的“广义”次调和算子。我们讨论了这个准则在数学物理和量子概率中的应用。
Abstract The conservativity of a minimal quantum dynamical semigroup is proved whenever there exists a “generalized” subharmonic operator bounded from below by the dissipative part of the infinitesimal generator. We discuss applications of this criteria in mathematical physics and quantum probability.