Question

Consider a potential well, whose potential is given by

$V(x) = \left\{\begin{matrix} -V_{0}, & (-a\leq x\leq a)\\ 0,& elsewhere \end{matrix}\right.$

(a) Evaluate the reflection and transmission coefficient for the case E > 0.

(b) Use your result for the transmission coefficient obtained in (a) above, to evaluate the transmission coefficient for the potential barrier,

$V(x) = \left\{\begin{matrix} V_{0}, & (-a\leq x\leq a)\\ 0,& elsewhere \end{matrix}\right.$  (V₀ > 0) for the case E < V₀.

Please show all steps thoroughly

Answer 1

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