Question

A particle in a potential well is in the $n=5$quantum state. How many peaks are in the probability density$P\left(x\right)={\left|\psi \left(x\right)\right|}^2$ ?

Short answer

There are five peaks in the probability density $P\left(x\right)={\left|\psi \left(x\right)\right|}^2$.

Step-by-step solution

Given Information 

We have to given potential well is in the $n=5$quantum state, the probability density is$P\left(x\right)={\left|\psi \left(x\right)\right|}^2$.

Simplify

We know that the particle in a potential well is the $n=5$quantum state.

Now, find, how many peaks are in the probability density:

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

therefore, the answer is five.