The normalised wavefunction for an electron in an infinite 1D potential well of length 80 pm can be written: ψ=(0.587 ψ2)+(0.277 i ψ7)+(g ψ6). As the individual wavefunctions are orthonormal, use your knowledge to work out |g|, and hence find the expectation value for the energy of the particle, in eV.

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The normalised wavefunction for an electron in an infinite 1D potential well of length 80 pm can be written:
ψ=(0.587 ψ2)+(0.277 i ψ7)+(g ψ6). As the individual wavefunctions are orthonormal, use your knowledge to work out |g|, and hence find the expectation value for the energy of the particle, in eV.

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