Static and dynamic variational principles for expectation values of observables

DOI10.1016/0003-4916(88)90280-1zbMath0653.49026OpenAlexW2054721108MaRDI QIDQ1107814

Marcel Vénéroni, Roger Ballian

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0003-4916(88)90280-1

zbMATH Keywords

variational principlesHamiltonian dynamicscovariant Poisson bracketsclassical statistical mechanicsquantum observablesexpectation value of an observable

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Quantum equilibrium statistical mechanics (general) (82B10) Stochastic mechanics (including stochastic electrodynamics) (81P20) Statistical thermodynamics (82B30) Variational principles of physics (49S05)

Related Items (11)

Collective excitations of a dilute Bose gas at finite temperature: time dependent Hartree–Fock–Bogoliubov theory ⋮ Information theory approach to a new Thomas-Fermi scheme ⋮ Action principle for nonequilibrium statistical dynamics based on the Lindblad density matrix evolution ⋮ Continuity equations, \(H\)-theorems, and maximum entropy. ⋮ 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 ⋮ Lyapunov stability and Poisson structure of the thermal TDHF and RPA equations ⋮ 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

Cites Work

• Time-dependent variational principle for the expectation value of an observable: mean-field applications
• Brownian Motion of a Quantum Oscillator
• Variational Principles for Scattering Processes. I
• The commutation laws of relativistic field theory
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