Wavefunctions

• Quantum Fundamentals 2021

  Consider the following wave functions (over all space - not the infinite square well!):

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

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

  \(\psi_c(x) = C \;\mbox{sech}\left(\frac{x}{5}\right)\) (“sech” is the hyperbolic secant function.)

  In each case:

  1. normalize the wave function,
  2. find the probability that the particle is measured to be in the range \(0<x<1\).