Q. 6

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Found in: Page 1174

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

# Consider a quantum harmonic oscillator.a. What happens to the spacing between the nodes of the wave function as |x| increases? Why?b. What happens to the heights of the antinodes of the wave function as |x| increases? Why?c. Sketch a reasonably accurate graph of the n=8 wave function of a quantum harmonic oscillator.

Electron's quantum state after partition is

See the step by step solution

## Step 1. Given information

Energy of particle confined in a box of length =

Here,

= energy of state,

= plank's constant,

mass of particle,

length of box and

denotes the state of particle (harmonics) (n=1,2,3 ...)

## Step 2. Finding the electron's quantum state

From the law of conservation of energy,

the energy in section should be equal to the energy in section.

For

For

Thus, the electron's quantum state after partition =