Chapter 11, Problem 11.12E

Interpretation Introduction

Interpretation:

The validation of the given statement that the energy separation between any two adjacent energy levels for an ideal harmonic oscillator is $hv$ is to be stated.

Concept introduction:

The energy of the harmonic oscillator is given by,

$E_n=\left(n+\frac{1}{2}\right)hv$

Where,

• $E$ is the energy.

• $n$ is the quantum number.

• $h$ is the Planck’s constant.

• $v$ is the frequency.

The total energy of the harmonic oscillator depends on the classical frequency and the integer $n$ of the system. The energy values are quantized as the energy values can be determined by this equation and $n$ can take only integer values between $0$ to infinity.