General properties of the Liouville operator

DOI10.1023/A:1026632322820zbMath0940.47064MaRDI QIDQ1303634

Manuel Gadella, Zdzislaw Suchanecki, Ioannis E. Antoniou

Publication date: 16 September 1999

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

zbMATH Keywords

purely continuous singular spectrumquantum theory in Hilbert and Liouville spaces is not equivalentself-adjointness of the Liouvillian of a symmetric operatorspectrum of the Liouville operator of a selfadjoint Hamiltonian

Mathematics Subject Classification ID

Related Items (8)

Rigged Hilbert space approach for non-Hermitian systems with positive definite metric ⋮ Quantum systems with fractal spectra ⋮ The spectrum of the Liouville–von Neumann operator in the Hilbert–Schmidt space ⋮ On the quantization of sectorially Hamiltonian dissipative systems ⋮ On the relationship of the spectra of the self-adjoint operator and its Liouville operator ⋮ The generalized eigenvector expansions of the Liouville operator ⋮ Groups, special functions and rigged Hilbert spaces ⋮ Non-factorizable extensions of the Liouville operator: the Friedrichs model

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