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Calculate the energy of the nth excited state to second-order perturbation and the wave function to first-order perturbation for a one-dimensional box potential of length 2L, with walls at x -L and x = L, which is modified at the bottom by the following perturbations with Vo <<< 1: (b) Vp(x) = { ¯ Vo(1-x²/1²), \x|

Calculate the energy of the nth excited state to second-order perturbation and the wave function to first-order perturbation for a one-dimensional box potential of length 2L, with walls at x -L and x = L, which is modified at the bottom by the following perturbations with Vo <<< 1: (b) Vp(x) = { ¯ Vo(1-x²/1²), \x|

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Exercise 9.3 Calculate the energy of the nth excited state to second-order perturbation and the wave function to first-order perturbation for a one-dimensional box potential of length 2L, with walls at x = -L and x = I, which is modified at the bottom by the following perturbations with Vo <<< 1: -L≤x≤ 0, 0≤x≤ L; (b) Vp(x) = { - Vo(1-x²/1²), [x] <I, 0, elsewhere. (a) Vp(x) = { 0, Vo,
Transcribed Image Text:Exercise 9.3 Calculate the energy of the nth excited state to second-order perturbation and the wave function to first-order perturbation for a one-dimensional box potential of length 2L, with walls at x = -L and x = I, which is modified at the bottom by the following perturbations with Vo <<< 1: -L≤x≤ 0, 0≤x≤ L; (b) Vp(x) = { - Vo(1-x²/1²), [x] <I, 0, elsewhere. (a) Vp(x) = { 0, Vo,
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