24 citations · 45 across the 10 of their papers we have counts for
10 papers
Phase space path integral representation of the dynamic structure factor. Monte Carlo simulation of strongly correlated soft-sphere fermions
V. S. Filinov, P. R. Levashov, A. S. Larkin
The dynamic structure factor (DSF) is a mathematical function that contains information about inter-particle correlations and their time evolution. Mostly the classical molecular d…
Density of states of a 2D system of soft--sphere fermions by path integral Monte Carlo simulations
V. Filinov, P. Levashov, A. Larkin
The Wigner formulation of quantum mechanics is used to derive a new path integral representation of quantum density of states. A path integral Monte Carlo approach is developed for…
Momentum distribution functions and pair correlation functions of unpolarized uniform electron gas in warm dense matter regime
A. S. Larkin, V. S. Filinov, P. R. Levashov
In this paper we continued our research of the uniform electron gas, using the single--momentum path integral Monte Carlo method, and studied the momentum distribution functions an…
Monte Carlo simulations of the electron short-range quantum ordering in Coulomb systems: Reducing the "fermionic sign problem"
Vladimir Filinov, Pavel Levashov, Alexander Larkin
To account for the interference effects of the Coulomb and exchange interactions of electrons a new path integral representation of the density matrix has been developed in the can…
Thermodynamic properties of the finite-temperature electron gas by the fermionic path integral Monte Carlo method
Vladimir Filinov, Pavel Levashov, Alexander Larkin
The new {\em ab initio} quantum path integral Monte Carlo approach has been developed and applied for the entropy difference calculations for the strongly coupled degenerated unifo…
Sign problems in path integral formulations of quantum mechanics and quantum statistics
Vladimir Filinov, Alexander Larkin
Nowadays the term 'sign problem' is used to identify two different problems. The ideas to overcome the first type of the 'sign problem' of strongly oscillating complex valued imteg…
Screening properties of quark-gluon plasma obtained from distribution and correlation functions of the constituent quasiparticle model
V. Filinov, A. Larkin, V. Fortov
Based on the constituent quasiparticle model of quark-gluon plasma (QGP), the matrix elements of the density operator and the Wigner function in the color phase space are presented…
Peculiarities of momentum distribution functions of strongly correlated charged fermions
A. S. Larkin, V. S. Filinov, V. E. Fortov
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…
Solution of the 'sign problem' in pair approximation
Alexander Larkin, Vladimir Filinov, Vladimir Fortov
The main difficulty for path integral Monte Carlo studies of Fermi systems results from the requirement of antisymmetrization of the density matrix and is known in literature as th…
Wigner dynamics of quantum semi-relativistic oscillator
A. S. Larkin, V. S. Filinov
The integral Wigner - Liouwille equation describing time evolution of the semi-relativistic quantum 1D harmonic oscillator have been exactly solved by combination of the Monte-Carl…