Effect of arbitrary temperature degeneracy and ion magnetization on shear alfven waves in electron-positron-ion plasmas

Linear properties of low-frequency electromagnetic shear Alfven waves (SAWs) are studied in quantum electron-positron-ion plasmas with effect of arbitrary temperature degeneracy for magnetized (ω² ≪ ω_{ci}² ≪ ω_{ce,cp}²) and unmagnetized (ω_{ci}² ≪ ω² ≪ ω_{ce,cp}²) ions by using the quantum hydrodynamic model. Dispersion relations are derived for nearly degenerate (ξ = exp(µ/(k_B T_{e,p})) ≫ 1) and nearly non-degenerate (ξ = exp(µ/(k_B T_{e,p})) ≪ 1) plasmas. Bohm potential due to density correlation and temperature degeneracy due to Fermi-Dirac statistics of electron-positron, and their effects on the dispersion of SAWs are studied in detail both analytically and numerically. The relevance of the work regarding dense astrophysical plasmas is highlighted. (© 2020 Wiley‐VCH GmbH)