A particle of mass m moves in the potential V(x)= 0 for x<0 V 0 for x>0 (a) Assu

Question

A particle of mass m moves in the potential

V(x)= 0 for x<0

V0 for x>0

(a) Assume the particle's energy E satisfies E>V0. Show that the particle's wave function can be written as Aeikx+Be-ikx for x<0, and Ceix for x>0.

***the last term in the above question is C*e^(i*kappa*x)***

(b) Determine k and in terms of E, V0, and m.

(c) Find B/A and C/A in terms of k and .

(d) Use the continuity of j(x) at x=0 to obtain a relation between abs(A)2, abs(B)2, and abs(C)2

***I HAVE NO IDEA HOW TO DO PART D, SO I DON'T KNOW HOW HARD IT IS. SO, IF YOU DO NOT DO PART D, I WONT PENALIZE YOUR RATING***

Explanation / Answer

I had this question answered already so you could click on my name to get the answer. Also question 19 if your doing the same problem set.

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