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Q. 6

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
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Short Answer

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 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 =

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