Question: 2. Show that an electron moving along '( x )' in one dimension across a delta-function potential centered at ( x=0), suffers a discontinuity in

2. Show that an electron moving along '\( x \)' in one dimension across a delta-function potential centered at \( x=0\), suffers a discontinuity in the slope of its wave-function across the potential barrier at \(\mathrm{x}=0\) and express the discontinuity in terms of the mass of the electron, Planck's constant, strength of the delta-function potential and the value of the wave-function at \(\mathrm{x}=0\).(Lecture 10).

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