© Copyright, Department of Physics, University of Illinois at Urbana-Champaign

Finite Well

An electron is trapped in a finite well of width 0.5 nm and depth of 50 eV. The wavefunction is symmetric about the center of the well (x = 0.25 nm). If the electron has energy 29.66 eV and ψ(0) = 1.42 (nm)-1/2, then what is the probability for finding the particle in the left half of the well (0 < x < 0.25 nm)?

Note: Here we want probability value between 0 and 1, corresponding to the range between 0% and 100%.
Remember that

P(0 < x < 0.25 nm) =