Spin Waves in a Degenerate Electron Liquid

A formal procedure for calculating the dynamic spin susceptibility of an electron liquid is presented. The spin-dependent oscillations of the system are determined by requiring that the solution of the kinetic equation be consistent with Maxwell's equations. When the small coupling between spin waves and plasma waves is neglected, the condition for spin wave propagation is essentially equivalent to the requirements that the ac magnetic induction vanishes. By making use of this condition in the kinetic equation, we are led to a simple secular equation, valid for arbitrary values of the wavelength of the spin-dependent oscillations. Analytic results are presented for the long wavelength limit of all the spin wave modes.