Lyapunov stability and Poisson structure of the thermal TDHF and RPA equations

DOI10.1016/0003-4916(89)90247-9zbMath0875.58032OpenAlexW2033023644MaRDI QIDQ1816279

Marcel Vénéroni, Roger Ballian

Publication date: 8 April 1997

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

Full work available at URL: https://doi.org/10.1016/0003-4916(89)90247-9

zbMATH Keywords

Lyapunov stabilityquantum mechanicsLie-Poisson bracketLiouville representationthermal TDHF equation

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Atomic physics (81V45)

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Collective excitations of a dilute Bose gas at finite temperature: time dependent Hartree–Fock–Bogoliubov theory ⋮ Variational approach to multi-time correlation functions ⋮ Correlation functions from a unified variational principle: trial Lie groups ⋮ Correlations and fluctuations in static and dynamic mean-field approaches ⋮ On the Poisson structure of the time-dependent mean-field equations for systems of bosons out of equilibrium ⋮ The Poisson structure of the mean-field equations in the \(\varphi^4\) theory ⋮ Time-dependent variational approach for boson systems

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