Spin Dynamics in Rotating Quantum Plasmas: Coupled EPI Dispersion and Solitary wave analysis

The propagation of an electrostatic wave in a three-component e-p-I astrophysical quantum plasma in a rotating frame has been studied, taking into account the particle spin, Fermi pressure, and quantum Bohm potential. Spin polarization plays a key role in explaining the dynamics of quantum plasmas, especially in astrophysical contexts due to the high external magnetic field prevalent in such environments. Effects specific to this particular environment, like rotation as well as gravity, have also been included. Coupled dispersion of electron, positron, and ion modes has been obtained. Further, the investigation of solitary waves by the Korteweg de Vries method has been carried out, and a soliton solution has been obtained. Quantum effects increase wave dispersion and soliton stability in quantum plasma, thereby affecting the electrostatic potential.