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## Where n = 0, 1, 2, 3... - n = at (n = 1, 2, 8,... but n≠0) - K = nπ/a ### From equation ① - E = (nπ/a)^2/8π^2m - E = n^2/8π^2m - E = n^2/8π^2a/a - E = n^2/8πma^2 ### Ka = nπ - From equation (iii) ⇒ Ψ = Asinkx - Ψ = Asin nπ/a x - ∫^a_0 Ψdx = 1 - A = √a/2 ## Ψ = √a/2 sin nπ/a x This is ul...

## Where n = 0, 1, 2, 3... - n = at (n = 1, 2, 8,... but n≠0) - K = nπ/a ### From equation ① - E = (nπ/a)^2/8π^2m - E = n^2/8π^2m - E = n^2/8π^2a/a - E = n^2/8πma^2 ### Ka = nπ - From equation (iii) ⇒ Ψ = Asinkx - Ψ = Asin nπ/a x - ∫^a_0 Ψdx = 1 - A = √a/2 ## Ψ = √a/2 sin nπ/a x This is ultimate wave equation function equation for 1D box - E = n^2 h^2/8ma^2 - Ψ = √a/2 sin nπ/a x

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wave equations quantum mechanics physics
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