# Question: show explicitly for a harmonic oscillator that 0 is orthogonal...

###### Question details

Show explicitly for a harmonic oscillator that 𝜓0(𝑥) is orthogonal to 𝜓1 (𝑥), 𝜓2 (𝑥), and 𝜓3(𝑥) and that 𝜓1(𝑥) to 𝜓2 (𝑥) and 𝜓3(𝑥) where 𝜓(𝑥) are the harmonic oscillator wavefunctions.