Using the continuity condition of an acceptable wavefunction at x = a, find c and d in terms of a and b. Find w in terms of a and b.

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  1. A particle is described by the following wavefunction

Ψ1(x) =−b(x2−a2)2: 0≤ x ≤a

Ψ2(x) = (x2−d2)−c: a≤ x ≤w

Ψ3(x) = 0: x > w

 

  • Using the continuity condition of an acceptable wavefunction at x = a, find c and d in terms of a and b.
  • Find w in terms of a and b.
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