On the Relationship of the Spectra of the Self-adjoint Operator and its Liouville Operator |
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| Authors: | Wencai Liu Zhenyou Huang |
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| Affiliation: | 1. Department of Mathematics, Nanjing University of Science and Technology, Nanjing, 210094, Jiangsu, P.R. China
2. Department of Mathematics, Fudan Universty, 200433, Shanghai, P.R. China
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| Abstract: | In this paper, we study the self-adjoint extensions of the Liouville operator and correct the relationship of absolutely and singular continuous spectra between a Hamiltonian and its corresponding Liouvillian. We also give the relationship of the essential and discrete spectra between the two operators. |
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