the wave function muse vantish at x = 0, whar v →∞. As the patential energy increases with x, the paticl’s kinetic energy must decrease, and so the wavelength increases. The amplitude increases as the wavelength increases because a larger means a smaller momemtum (indicated as wall by the lower kinetic energy) and the particle is more likely to be found where the momemtum has a lower magnitude. The wave function vanishes again where the potential v →∞; this condition would determime the allowed energies..