4.7. Let y(x, t) be the wave function of a spinless particle corresponding to a planewave in three dimensions. Show that (x.-) is the wave function for the planewave with the momentum direction reversed.b. Let x(n) be the two-component eigenspinor of an with eigenvalue +1. Usingthe explicit form of x(A) (in terms of the polar and azimuthal angles ß and y thatcharacterize A) verify that -io₂x() is the two-component eigenspinor with thespin direction reversed.

Solution:-a). ψ(x,t)=expi(k.x-wt) ω*(x,-t)=exp-i(k.x+wt) ψ*x,t=expi-k.x-wt…

Answered: 4.7 a. Let y(x.t) be the wave function…

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