Q. 6

Expert-verifiedFound in: Page 1174

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

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 ...)

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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