Maxwell’s equations, just like spintronics itself, involve understanding and combining electricity and magnetism. Unsurprisingly then, Maxwell’s equations come up in spintronics research time and time again. This could be directly such as in research on magnetic monopoles or spin transport, or as a tool for research, such as the reliance on electromagnets on Ampere’s law, one of Maxwell’s equations.
For much more easily digested description of Maxwell’s equations, check out this Irregular Webcomic. It explains the history, the physics and the significance of Maxwell’s equations.
Maxwell J.C. (2010). On physical lines of force, Philosophical Magazine, 90 (sup1) 11-23. DOI: http://dx.doi.org/10.1080/14786431003659180
Maxwell J.C. (2009). A Dynamical Theory of the Electromagnetic Field, The Scientific Papers of James Clerk Maxwell, 526-597. DOI: http://dx.doi.org/10.1017/cbo9780511698095.028