Prompt

Create an image of a semicircle graph with a smooth, curved line, set against a white background with labeled axes. The semicircle should be centered on the x-axis, with its peak at the origin (0, 1/(2πR^2)) and intersecting the x-axis at (-2R, 0) and (2R, 0). Include a subtle grid pattern in the background to represent the coordinate system. The style should be reminiscent of mathematical illustrations, with clear and precise lines. The graph should convey a sense of a probability distribution, with the semicircle shape clearly visible. Label the axes and include a title "Wigner Semicircle Distribution" to provide context.

Image by stabilityai/stable-diffusion-3.5-large-turbo