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### Where n = 0, 1, 2, 3..... - nπ * a/k = (n = 1, 1, 2,.... but n≠0) - k = nπ * a/k → ① ### From eqn (i) - E = (nπ/a)² * h² / (8π²m) - E = n² π² * h² / 8π²m * a² - E = n² * h² / 8m * a² - E = n² * h² / 8ma² →⑤ ### Ka = nπ ### From eq (ii) y = Asinkπ/a * x → ⑥ - x = a y = Asinπ/a * a - x = 0 y...

### Where n = 0, 1, 2, 3..... - nπ * a/k = (n = 1, 1, 2,.... but n≠0) - k = nπ * a/k → ① ### From eqn (i) - E = (nπ/a)² * h² / (8π²m) - E = n² π² * h² / 8π²m * a² - E = n² * h² / 8m * a² - E = n² * h² / 8ma² →⑤ ### Ka = nπ ### From eq (ii) y = Asinkπ/a * x → ⑥ - x = a y = Asinπ/a * a - x = 0 y ψ(x) = 1 - A = √(a/a) = 1 - y = √(a/a) * sinπ/a * x → ⑦ ### This is ultimate wave equation function. ### Equation for 1D box - E = n² * h² / 8ma² - y = √(a/a) * sinπ/a * x