If Ψ=exp[i(kx−ωt)], the complex function ψ(x,t) moves round and round the unit circle in the complex plane as x and t change, as illustrated in Figure...If Ψ=exp[i(kx−ωt)], the complex function ψ(x,t) moves round and round the unit circle in the complex plane as x and t change, as illustrated in Figure \PageIndex1:. This contrasts with the back and forth oscillation along the horizontal axis of the complex plane represented by cos(kx−ωt).
