Given the initial wavefunction ψ (x, 0) = axexp (-k x) withx> 0 andk> 0, and ψ (x, 0) = 0 forx < 0, what value must a take in terms ofkin order that ψ is normalized? find , , and σ.

Answer with explanation:

The Normalization Principle states that

Given

Thus solving the integral we get

The integral shall be solved using chain rule initially and finally we shall apply the limits as shown below

Applying the limits and solving for A we get

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