Dispersion in Rotating Electron-Positron-Ion Quantum Plasma

Quantum plasmas in astrophysical environments are abundant due to extreme electric, magnetic, and gravitational fields. These plasmas can be most clearly observed in neutron stars, white dwarfs, brown dwarfs, red dwarfs, accretion disks of black holes, pulsars, quasars, and more. This paper examines the propagation of electromagnetic waves in a three-component e-p-i quantum plasma within a rotating frame, considering the particles' spin, Fermi pressure, and quantum Bohm potential. Additionally, effects unique to this specific environment, such as rotation and gravity, are included. The dispersion of electrons, ions, and positrons has been obtained separately, and their coupling has been analyzed to understand the collective behavior. It has been noted that the quantum effects of Fermi pressure and Bohm potential significantly influence particle dynamics.