Modification to the wavefunction with application of an electric field

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solas99
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how is the wavefunction of 1-D infinite well modified by the application of an electric field to the well.
 

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i have attached a solution here
 
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  • Handwritten derivation on lined paper: the Schrödinger equation -h²/2m d²ψ/dz² + V(z)ψ = Eψ, with V(z) = eE_A z, substituted to give -h²/2m d²ψ(z)/dz² + eE_A z ψ(z) = Eψ(z), then ψ(z) = aAi(z) + bBi(z), and the note 'If potential is infinite, all possible energies are allowed'.
    Photo on 15-08-2012 at 16.03.jpg
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All the energy levels will suffer a shift in energy corresponding to the energy in the electric field.
 
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