Physics · Mathematical Physics
The Green's function satisfying d2dx2 g(x, x0) = δ(x - x0) with the boundary conditions g(-L, x0) = 0 = g(L, x0) is given by:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1g(x, x0) = 12L(x - L)(x + L) for -L ≤ x ≤ L
- 2g(x, x0) = 12L(L - x0)(x + L) for -L ≤ x < x0, and 12L(x0 + L)(L - x) for x0 ≤ x ≤ L✓
- 3g(x, x0) = 12L(x0 + L)(x + L) for -L ≤ x < x0, and 12L(x0 - L)(x - L) for x0 ≤ x ≤ L
- 4g(x, x0) = 12L(x0 - L)(x + L) for -L ≤ x < x0, and 12L(x0 + L)(x - L) for x0 ≤ x ≤ L
Correct answer
g(x, x0) = 12L(L - x0)(x + L) for -L ≤ x < x0, and 12L(x0 + L)(L - x) for x0 ≤ x ≤ L
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