The quantum density of states of the helium-3. Wigner approach in path integral Monte Carlo

Authors

  • V.S. Filinov Joint Institute for High Temperatures, Russian Academy of Sciences, Izhorskaya 13 Bldg 2, Moscow 125412, Russia. Author
  • P.R. Levashov Joint Institute for High Temperatures, Russian Academy of Sciences, Izhorskaya 13 Bldg 2, Moscow 125412, Russia. Author
  • A.S. Larkin Joint Institute for High Temperatures, Russian Academy of Sciences, Izhorskaya 13 Bldg 2, Moscow 125412, Russia. Author

DOI:

https://doi.org/10.69687/

Abstract

A new path integral representation of the quantum density of states (DOS) and distribution functions of strongly correlated fermions are derived in the Wigner formulation of quantum mechanics. A new path integral Monte Carlo approach to calculate DOS and thermodynamic functions is suggested. Using helium-3 as an interesting example, we calculate the DOS, internal energy distrubution (IED), momentum distribution functions (MDFs), spin--resolved radial distribution functions at different densities and temperatures. The physical meaning and parameters of exchange-- correlation holes, the quantum oscillations of IEDs and DOS as well as the high--momentum asymptotic (``quantum tails'') of MDFs have been considered and explained.

Published

06-06-2024

Issue

Vol. 1 No. 1 (2024): Vol. 1, Issue 1: 1st Edition Physics 2024: Innovations and Discoveries, Italy

Section

Full Papers

License

Copyright (c) 2024 Author(s)

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Filinov, V., Levashov, P., & Larkin, A. (2024). The quantum density of states of the helium-3. Wigner approach in path integral Monte Carlo. IntelliMindEd, 1(1), 5-5. https://doi.org/10.69687/