Particle in a box ( see text p. 208 ) D TIL particle confined in a box with potential V (x ) : V ( x ) = o X E [ - 9 /2 , 9 ] = V. Xz O ist treat simplest case Vo the particle Can not escape the box and 4 = 0 outside of box. Full equation is: -ho? Om 5xx t (at) + Vontext) = 1set (at) use separation of variables : 4(xt) = tix) f(t) $ f (t ) = e-int KW= E and they equation is : - h dy am 272 + V ( x )4 ( x ) = E4( x) In regions (D and ( IN { ( x ) =0