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# Condition 2 - Inside the box - $ \frac{d^2ψ}{dx^2} + \frac{8πm}{h^2}Eψ = 0$ - $⇒ \frac{d^2ψ}{dx^2} + ky = 0$ - $⇒ k^2 = \frac{8πmE}{h^2} = constant$ - E = $\frac{kh^2}{8πη}$ - → ① # Boundary Condition - Condition 1: when x = 0, y = 0 - From ② ⇒ 0 = B - Again, from eq'n ② - y = Asin...

# Condition 2 - Inside the box - $ \frac{d^2ψ}{dx^2} + \frac{8πm}{h^2}Eψ = 0$ - $⇒ \frac{d^2ψ}{dx^2} + ky = 0$ - $⇒ k^2 = \frac{8πmE}{h^2} = constant$ - E = $\frac{kh^2}{8πη}$ - → ① # Boundary Condition - Condition 1: when x = 0, y = 0 - From ② ⇒ 0 = B - Again, from eq'n ② - y = Asinkx - → ③ - Condition 2: when y = 0, x = a - From eq ③ ⇒ 0 = Asinka - ⇒ 0 = Sin ka - ⇒ sina = sinak