The spectrum of the Liouville–von Neumann operator in the Hilbert–Schmidt space

DOI10.1063/1.532948zbMath0988.82031OpenAlexW2034637037MaRDI QIDQ4270407

Ioannis E. Antoniou, Stanislav Shkarin, Zdzislaw Suchanecki

Publication date: 21 November 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.532948

zbMATH Keywords

Hamiltonianpoint spectrumabsolutely continuous spectrumsingular continuous spectrumLiouvillian

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Spectrum, resolvent (47A10) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10)

Related Items

Quantum systems with fractal spectra, On the quantization of sectorially Hamiltonian dissipative systems, On the relationship of the spectra of the self-adjoint operator and its Liouville operator, A measure-theoretical approach to the nuclear and inductive spectral theorems, Non-factorizable extensions of the Liouville operator: the Friedrichs model, The time operator of the cusp map

Cites Work

• On necessary and sufficient conditions for the existence of time and entropy operators in quantum mechanics
• General properties of the Liouville operator
• The spectrum of the Liouville–von Neumann operator
• Fourier-Stieltjes Transforms and Singular Infinite Convolutions
• On a Family of Symmetric Bernoulli Convolutions