Final answer:
The wavefunction for a particle in a one-dimensional box describes the probability amplitude of finding the particle at a certain position within the box.
Step-by-step explanation:
The wavefunction for a particle in a one-dimensional box of length l can be described as a linear superposition of standing waves. These standing waves are solutions to Schrödinger's equation and are quantized in energy. The wavefunction represents the probability amplitude of finding the particle at a certain position within the box.