Consider a beam of particles which is incident on a potential barrier, and assume that the potential-energyfunction is constant in the domains of the incident and transmitted beams. The wavefunctions representingincident, reflected and transmitted particles are given byV:(1, t) = Ae (k12–wit), V.(x,t) = Be¬i(k12+wit) and V.(x,t) = Ce(ka=–-wat),respectively.a) The current density is defined byJ =2miCalculate the incident, reflected and transmitted current densities (J;, J,, and Jt, respectively).b) Express the transmission coefficient T = |Jt/J;| and the reflection coefficient R = |Jr/J;| in terms of A, B,C, ki and k2.

Answered: Consider a beam of particles which is…

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