1.)It has an equal probability of being anywhere inside the box. 𝑝 𝑥 = some constant≡ 𝐴a.)Make sure the integrated probability is 1. 1 =𝐴𝑑𝑥𝐿2−𝐿2𝑝 𝑥 =1𝐿inside the box (0 outside)b.)Calculate the standard deviation, Δx, of the position. ∆𝑥=𝑥2− 𝑥 2?(𝑥)=?(𝑥)𝑝 𝑥 𝑑𝑥𝐿2−𝐿2𝑥 =𝑥 ∙ 𝑝 𝑥 𝑑𝑥𝐿2−𝐿2= 0𝑥2=𝑥2∙ 𝑝 𝑥 𝑑𝑥𝐿2−𝐿2=𝐿212∆𝑥=𝐿212−02=
This is the end of the preview.
access the rest of the document.