Spectral Inclusion Properties of UnboundedHamiltonian Operators

Citation:

Yaru QI,Junjie HUANG,Alatancang CHEN.Spectral Inclusion Properties of UnboundedHamiltonian Operators[J].Chinese Annals of Mathematics B,2015,36(2):201~212
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Authors:

Yaru QI; Junjie HUANG; Alatancang CHEN;

Foundation:

the Natural Science Foundation of China (Nos. 11461049, 11371185), the Major Program of the National Natural Science Foundation of Inner Mongolia (No. 2013ZD01) and the National Science Foundation for Fostering Distinguished Young Scholars of Inner Mongolia (No. 2013JQ01).
Abstract: In this paper, the authors investigate the spectral inclusion properties of the quadratic numerical range for unbounded Hamiltonian operators. Moreover, some examples are presented to illustrate the main results.

Keywords:

Hamiltonian operator, Spectrum, Quadratic numerical range

Classification:

47A05, 47A10
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