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随机Dirac算子的旋转数和谱 被引量:1

THE ROTATION NUMBER FOR STOCHASTIC DIRAC OPERATORS AND SPECTRUM
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摘要 本文研究概率空间(Ω,F,μ)上的一维平稳遍历Dirac算子H_ω,定义了算子H_ω在实数λ处的旋转数a(A),并证明了a(A)的单调上升点恰是H_ω的谱点. In this paper, we study the one-dimensional stationary ergodic Dirac operators H_ω on some probability space. The rotation number α(λ) for H_ω is defined and the relation that the increasing points of α(λ) is exactly the spectrum of H_ω for μα.еω is established.
作者 孙丰珠
机构地区 山东大学数学系
出处 《山东大学学报(理学版)》 CAS CSCD 1991年第1期1-9,共9页 Journal of Shandong University(Natural Science)
基金 山东大学青年基金课题
关键词 随机Dirac算子 旋转数 GREEN函数 stochastic dirac operator rotation number green function spectrum
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参考文献1

  • 1R. Johnson,J. Moser. The rotation number for almost periodic potentials[J] 1982,Communications in Mathematical Physics(3):403~438

同被引文献11

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