Question

What are the units of$\psi \left(x\right)$ ? Explain.

Short answer

Hence, the unit is m^-1/2

Step-by-step solution

Given information

$\psi$(x)

Explanation

We begin by recognising that probability is a dimensionless quantity, and that probability in the context of the wave function is:

$P=\left|\psi \right(x){|}^2\delta x$

Because the units of $\delta \mathit{x}$ are (m), the units of $\left|\psi \right(x){|}^2$ must be m^-1 in order to cancel the units of $\delta \mathit{x}$. As a result, $\psi$ units are m^-1/2.