Consider the delta function potential well :V(x) = −αδ(x) (α > 0). (a) What are the...

Consider the delta function potential well :V(x) = −αδ(x) (α > 0).

(a) What are the boundary conditions on the bound state wave function and its derivative at x = ±∞ and x = 0? Explain. Hint: You may find the property stated in Prob. 2 useful.

(b) Show that there is only one bound state.

(c) Find the energy E and wave function ψ(x) of the bound state.

(d) Find the transmission coefficient for scattering states, with energy E > 0 and incident form the left

Expert Solution

genius_generous answered 7 months ago

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