Word Count : 441

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The potential is piecewise linear with a slope discontinuity at (x=0): [ V(x) = \begin{cases} a|x| & x \ge 0 [2mm] 2a|x| & x < 0 \end{cases} ] We want the bound state energy using the WKB approximation. For a one-dimensional potential, the WKB quantization condition is: [ \int_{x_1}^{x_2} \sqrt{2m \big(E - V(x)\big)} , dx = \left(n + \frac{1}{2}\right)\pi \hbar ] where (x_1) and (x_2) are classical turning points defined by (E = V(x)). --- ### Step 1: Find classical turning points For (x \ge 0): (V(x) = ________ ____ ______ _________ __________ _____ _____ ___.
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