In the region 0 ≤ x ≤a, a particle is described by the wave function w₁(x) = -b(x² - a²). In the region a≤x≤w, its wave function is 2(x) = (x - d)² - c. For x≥w, ¥3(x) = 0. (a) By applying the continuity conditions at x=a, find c and d in terms of a and b. (b) Find win terms of a and b.
In the region 0 ≤ x ≤a, a particle is described by the wave function w₁(x) = -b(x² - a²). In the region a≤x≤w, its wave function is 2(x) = (x - d)² - c. For x≥w, ¥3(x) = 0. (a) By applying the continuity conditions at x=a, find c and d in terms of a and b. (b) Find win terms of a and b.
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Transcribed Image Text:In the region 0 < x < a, a particle is described by the wave
function y₁(x) = -b(x² - a²). In the region a≤ x ≤w,
its wave function is y2(x) = (x-d)² - c. For x≥w,
¥3(x) = 0. (a) By applying the continuity conditions at
x= a, find c and d in terms of a and b. (b) Find w in terms
of a and b.
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