Spectral inclusion properties of unbounded Hamiltonian operators

Yaru Qi , Junjie Huang , Alatancang Chen

Chinese Annals of Mathematics, Series B ›› 2015, Vol. 36 ›› Issue (2) : 201 -212.

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Chinese Annals of Mathematics, Series B ›› 2015, Vol. 36 ›› Issue (2) : 201 -212. DOI: 10.1007/s11401-015-0926-4
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Spectral inclusion properties of unbounded Hamiltonian operators

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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

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Yaru Qi, Junjie Huang, Alatancang Chen. Spectral inclusion properties of unbounded Hamiltonian operators. Chinese Annals of Mathematics, Series B, 2015, 36(2): 201-212 DOI:10.1007/s11401-015-0926-4

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