On the relationship of the spectra of the self-adjoint operator and its Liouville operator

DOI10.1007/s10773-013-1545-zzbMath1274.81097OpenAlexW1983302689MaRDI QIDQ379298

Wencai Liu, Zhen-you Huang

Publication date: 11 November 2013

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-013-1545-z

zbMATH Keywords

spectrumspectral measureLiouville operatorself-adjoint extensionsLiouville spacesspectral decompositions

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (2)

Kato expansion in quantum canonical perturbation theory ⋮ The generalized eigenvector expansions of the Liouville operator

Cites Work

• General properties of the Liouville operator
• Factorizations of Lebesgue Measure via Convolutions
• The spectrum of the Liouville–von Neumann operator
• The spectrum of the Liouville–von Neumann operator in the Hilbert–Schmidt space
• The spectrum of Liouville operators and multiparticle Hamiltonians associated to one-particle Hamiltonians with singular continuous spectrum
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