期刊
JOURNAL OF MATHEMATICAL PHYSICS
卷 55, 期 3, 页码 -出版社
AMER INST PHYSICS
DOI: 10.1063/1.4866769
关键词
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资金
- EPSRC
- EU
- Alexander von Humboldt Foundation
- Winton Programme for the Physics of Sustainability
We study systems coupled linearly to a bath of oscillators. In an iterative process, the bath is transformed into a chain of oscillators with nearest neighbour interactions. A systematic procedure is provided to obtain the spectral density of the residual bath in each step, and it is shown that under general conditions these data converge. That is, the asymptotic part of the chain is universal, translation invariant with semicircular spectral density. The methods are based on orthogonal polynomials, in which we also solve the outstanding so-called sequence of secondary measures problem and give them a physical interpretation. (C) 2014 AIP Publishing LLC.
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