On Invariant Subspace in Quantum Control Systems and Some Concepts of Integrable Quantum Systems

被引：9
|
作者：
Jamiolkowski, Andrzej [1 ]
Kamizawa, Takeo [1 ]
Pastuszak, Grzegorz [2 ]
机构：
[1] Nicolaus Copernicus Univ, Fac Phys Astron & Informat, Torun, Poland
[2] Polish Acad Sci, Ctr Theoret Phys, Warsaw, Poland
来源：
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2015年 / 54卷 / 08期
关键词：
Integrable system; Quasi-diagonalisation; Morris-shore transformation; Circulant matrices; Brownian matrices;
D O I：
10.1007/s10773-014-2498-6
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Trajectories of some dynamical systems can be analysed by algebraic methods. In this paper we discuss certain applications of the so-called Shemesh criterion and its generalisations to analysis of properties of quantum control systems. In particular, some Hamiltonians with non-degenerated spectrum are considered, and also the case of a Hamiltonian with m (1),...,m (N) degeneracies, where Sigma(N)(i=1) m(i) = n, is discussed.
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页码：2662 / 2674
页数：13
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