Peculiarities of momentum distribution functions of strongly correlated charged fermions

Abstract

The new numerical version of the Wigner approach to quantum mechanics for treatment thermodynamic properties of strongly coupled systems of particles has been developed for extreme conditions, when analytical approximations obtained in different kind of perturbation theories can not be applied. Explicit analytical expression of the Wigner function has been obtained in linear and harmonic approximations. Fermi statistical effects are accounted by effective pair pseudopotential depending on coordinates, momenta and degeneracy parameter of particles and taking into account Pauli blocking of fermions. The new quantum Monte-Carlo method for calculations of average values of arbitrary quantum operators has been proposed. Calculations of the momentum distribution function of the degenerate ideal Fermi gas have been carried out for testing the developed approach. Comparison of obtained momentum distribution function of strongly correlated Coulomb systems of particles with Maxwell -- Boltzmann and Fermi distributions shows the significant influence of interparticle interaction both at small momenta and in the high energy quantum 'tails'.

14 pages, 6 captured figures. arXiv admin note: text overlap with arXiv:1702.04091

References in corpus (4)

• {\em Ab initio} Quantum Monte Carlo simulation of the warm dense electron gas in the thermodynamic limit
• Ab initio thermodynamic results for the degenerate electron gas at finite temperature
• Fermionic path integral Monte Carlo results for the uniform electron gas at finite temperature
• Correlation effects in partially ionized mass asymmetric electron-hole plasmas

Cited by in corpus (4)

• Monte Carlo simulations of the electron short-range quantum ordering in Coulomb systems: Reducing the "fermionic sign problem"
• Accelerated free energy estimation in ab initio path integral Monte Carlo simulations
• Screening properties of quark-gluon plasma obtained from distribution and correlation functions of the constituent quasiparticle model
• Thermodynamic properties of the finite-temperature electron gas by the fermionic path integral Monte Carlo method