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Consider an electron in a box of lenght L with periodic boundary condition y(x) = y(x+L). If the electron 1 ħ²k² is in the 4₁(x) = ²x with energy & what is the correction to its energy, to second order of > 2m perturbation theory, when it is subjected to weak periodic potential V(x) = V₁ cos gx, where g is an integral multiple of the 2n/L?

Consider an electron in a box of lenght L with periodic boundary condition y(x) = y(x+L). If the electron 1 ħ²k² is in the 4₁(x) = ²x with energy & what is the correction to its energy, to second order of > 2m perturbation theory, when it is subjected to weak periodic potential V(x) = V₁ cos gx, where g is an integral multiple of the 2n/L?

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Consider an electron in a box of lenght L with periodic boundary condition y(x) = y(x+L). If the electron 1 ħ²k² is in the 4₁ (x) = -—* with energy &=\ what is the correction to its energy, to second order of » 2m perturbation theory, when it is subjected to weak periodic potential V(x) = V₁ cos gx, where g is an integral multiple of the 2n/L?
Transcribed Image Text:Consider an electron in a box of lenght L with periodic boundary condition y(x) = y(x+L). If the electron 1 ħ²k² is in the 4₁ (x) = -—* with energy &=\ what is the correction to its energy, to second order of » 2m perturbation theory, when it is subjected to weak periodic potential V(x) = V₁ cos gx, where g is an integral multiple of the 2n/L?
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