Wavefunctions

• Quantum Fundamentals 2021

  Consider the following wave functions, each describing a particle in one dimension and defined over all space (i.e., \(-\infty < x < \infty\)), not confined to an infinite square well.

  \(\psi_a(x) = A e^{-x^2/3}\)

  \(\psi_b(x) = B \frac{1}{x^2+2} \)

  For each wave function:

  1. Determine the normalization constant.
  2. If the particle's position is measured, what is the probability of finding it in the region \(0<x<1\)?