Chapter 11, Problem 11.11E

Interpretation Introduction

Interpretation:

The equation 11.16 is to be derived from the equation immediately preceding it.

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.