Chapter 10, Problem 10.92E

Interpretation Introduction

Interpretation:

The plots of the probabilities of the first three wavefunctions for a particle in a one-dimensional box having length $a$ are to be constructed. The position of the nodes for three wavefunctions is to be predicted.

Concept introduction:

In quantum mechanics, the wavefunction is given by $\Psi$. The wavefunction contains all the information about the state of the system. The wavefunction is the function of the coordinates of the particles and time. The square of the probability function, ${\left|\Psi \right|}^2$, relates to the probability density.