An inverse problem in quantum statistical physics
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Publication:5961857
DOI10.1007/s10955-010-0003-zzbMath1201.82025arXiv1002.1453OpenAlexW2020284323MaRDI QIDQ5961857
Florian Méhats, Olivier Pinaud
Publication date: 16 September 2010
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1002.1453
inverse problemdensity matrixchemical potentialentropy minimization under constraintlocal equilibrium statemoment realizabilityquantum hydrodynamic modelsquantum statistical physics
Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)
Related Items (18)
Entropy minimization for many-body quantum systems ⋮ On local quantum Gibbs states ⋮ Formal derivation of quantum drift-diffusion equations with spin-orbit interaction ⋮ Quantum Navier–Stokes Equations ⋮ Gradient flow structure of a multidimensional nonlinear sixth-order quantum-diffusion equation ⋮ Constrained minimizers of the von Neumann entropy and their characterization ⋮ A splitting scheme for the quantum Liouville-BGK equation ⋮ Derivation of isothermal quantum fluid equations with Fermi-Dirac and Bose-Einstein statistics ⋮ A new derivation of the quantum Navier-Stokes equations in the Wigner-Fokker-Planck approach ⋮ A quantum drift-diffusion model and its use into a hybrid strategy for strongly confined nanostructures ⋮ The quantum drift-diffusion model: existence and exponential convergence to the equilibrium ⋮ A constrained optimization problem in quantum statistical physics ⋮ The quantum Liouville-BGK equation and the moment problem ⋮ On the minimization of quantum entropies under local constraints ⋮ The Bayesian inversion problem for thermal average sampling of quantum systems ⋮ Kinetic and Hydrodynamic Models for Multi-Band Quantum Transport in Crystals ⋮ On the derivation and mathematical analysis of some quantum–mechanical models accounting for Fokker–Planck type dissipation: Phase space, Schrödinger and hydrodynamic descriptions ⋮ Quantum drift-diffusion equations for a two-dimensional electron gas with spin-orbit interaction
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