Geodesic
Measuring the~coupling constant of polarized fermions via sound wave spectra
Teoretičeskaâ i matematičeskaâ fizika, Tome 213 (2022) no. 3, pp. 523-537

Voir la notice de l'article provenant de la source Math-Net.Ru

The system of hydrodynamic equations is generally limited to the continuity and Euler equations. However, taking higher moments of the distribution function into account improves the description of kinetic properties. We derive the pressure tensor evolution equation (PTEE) for spin-polarized degenerate fermions. We find that the pressure tensor enters the term describing the interaction that generalizes the $p$-wave interaction in the Euler equation. Hence, calculating the interaction for the PTEE allows describing the interaction in the Euler equation more accurately. The proposed model is applied to small-amplitude bulk collective excitations in homogeneous fermions and trapped fermions, yielding a method for experimental measurements of the coupling constant of polarized fermions. It is demonstrated that the anisotropy in the momentum space, manifesting itself in the difference of pressures in the anisotropy direction and the perpendicular directions, leads to a method for determining the coupling constant.
Keywords: degenerate fermions, hydrodynamics, pressure evolution equation, spinor quantum gas, separate spin evolution. 
@article{TMF_2022_213_3_a8,
     author = {P. A. Andreev},
     title = {Measuring the~coupling constant of polarized fermions via sound wave spectra},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {523--537},
     publisher = {mathdoc},
     volume = {213},
     number = {3},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2022_213_3_a8/}
}
TY  - JOUR
AU  - P. A. Andreev
TI  - Measuring the~coupling constant of polarized fermions via sound wave spectra
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2022
SP  - 523
EP  - 537
VL  - 213
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2022_213_3_a8/
LA  - ru
ID  - TMF_2022_213_3_a8
ER  - 
%0 Journal Article
%A P. A. Andreev
%T Measuring the~coupling constant of polarized fermions via sound wave spectra
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2022
%P 523-537
%V 213
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2022_213_3_a8/
%G ru
%F TMF_2022_213_3_a8
P. A. Andreev. Measuring the~coupling constant of polarized fermions via sound wave spectra. Teoretičeskaâ i matematičeskaâ fizika, Tome 213 (2022) no. 3, pp. 523-537. http://geodesic.mathdoc.fr/item/TMF_2022_213_3_a8/