2. Show that if a one-dimensional wavefunction (x,t) → 0 faster than 1/x as *+0 (i.e., we can assume Y(x,t)oc x where a

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2 Show That If A One Dimensional Wavefunction X T 0 Faster Than 1 X As 0 I E We Can Assume Y X T Oc X Where A 1 (28.59 KiB) Viewed 59 times

2. Show that if a one-dimensional wavefunction (x,t) → 0 faster than 1/x as *+0 (i.e., we can assume Y(x,t)oc x where a >0 when x is large -1/2-6 ду → as xto, enough), then y(x,t) is normalizable. Show also that xY": @x as advertised in class. In the following problems you are asked to derive extremely important results that we will repeatedly use in this course. Please make sure you know the results even if you don't want to work out the derivations.