Engineering and Applied Sciences Applied Physics 216 Lecture 16: Lecture 16
21 Feb 2017
School
Department
Professor
Document Summary
Ap 216 lecture 16 spin resonance adiabatic theorem. Spin resonance -- equation of motion dl dt m b. Precession of the angular momentum vector (and hence the magnetic moment and current loop responsible for it) is the solution to the equation of motion in a constant external magnetic field. We begin by writing the equation of motion as ds dt o. 0 to be in the z direction so. S t b z y ds t y dt. S t b z x ds t z dt. 3 which can worked out and compactly written as. 12 and we see that multiplication by the antisymmetric matrix above is identical to taking the cross product with . Ok lets see what the solution looks like. Sz is obviously independent of time from equation (9). The coupled equations for sx and sy in equation (9) can be isolated by substitution.
