Hofstadter's Butterfly Type of Singular Spectrum of a Collision Operator for a Model of Molecular Chains

DOI10.1143/PTPS.184.457zbMath1201.82028MaRDI QIDQ3162931

Satoshi Tanaka, Tomio Petrosky, Kazuki Kanki, Naomichi Hatano

Publication date: 22 October 2010

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

zbMATH Keywords

Liouville operatormolecular chainquantum collision operator

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20)

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Spontaneous Breakdown of a PT-Symmetry in the Liouvillian Dynamics at a Non-Hermitian Degeneracy Point ⋮ Microscopic description of irreversibility in quantum Lorentz gas by complex spectral analysis of the Liouvillian outside the Hilbert space

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