SOLVED:A particle of energy E approaches from x<0 a barrier in which the potential energy is V(x)=Vδ δ(x). Show that the probability of its passing the barrier is Ptun=(1)/(1 (K / 2 k)^2) where k=√((2 m E)/(ħ^2)), K=(2 m Vδ)/(ħ^2) .
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A 2.7 MeV proton is incident on a potential energy barrier of thickness 8.2 fm and height 11 MeV. What are (a) the transmission coefficient T, (b) the kinetic energy Kt the proton will have on the other side of the barrier if it tunnels through the barrier, and (c) the kinetic energy Kr it will have if it reflects from the barrier? A 2.7 MeV deuteron (the same charge but twice the mass as a proton) is incident on the same barrier. What are (d) T, (e) Kt, and (f) Kr?
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