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On the Relationship of the Spectra of the Self-adjoint Operator and its Liouville Operator

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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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Correspondence to Zhenyou Huang.

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Liu, W., Huang, Z. On the Relationship of the Spectra of the Self-adjoint Operator and its Liouville Operator. Int J Theor Phys 52, 2578–2591 (2013). https://doi.org/10.1007/s10773-013-1545-z

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  • DOI: https://doi.org/10.1007/s10773-013-1545-z

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