Visualizing ConceptsConsider a fictitious one-dimensional system with one electron. The wa...

Visualizing Concepts

Consider a fictitious one-dimensional system with one electron. The wave function for the electron, drawn below, is ѱ(x) = sin x from x = 0 to x = 2π. (a) Sketch the probability density, ѱ2(x), from x = 0 to x = 2π. (b) At what value or values of x will there be the greatest probability of finding the electron? (c) What is the probability that the electron will be found at x = p? What is such a point in a wave function called? [Section]