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Chapter 40: Q. 4 (page 1174)

What is the quantum number of the particle in FIGURE Q40.4? How can you tell?

Short Answer

Expert verified

The quantum number of the particle is6.

Step by step solution

01

Given Information

We need to find the quantum number of the particle.

02

Simplify

Now, find the quantum number of the particle on the picture.

therefore, n=6because there are six peaks.

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Most popular questions from this chapter

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.

a. Derive an expression for the classical probability density Pclassy for a ball that bounces between the ground and heighth. The collisions with the ground are perfectly elastic.

b. Graph your expression between y=0andy=h.

c. Interpret your graph. Why is it shaped as it is?

For a particle in a finite potential well of width L and depthU0 , what is the ratio of the probability Prob ( in 未虫at x=L+畏) to the probability Prob ( in 未虫 atx=L)?

Sketch the n=8wave function for the potential energy shown in FIGURE EX40.14.

Show that the constant b used in the quantum-harmonic-oscillator wave functions (a) has units of length and (b) is the classical turning point of an oscillator in the n=1ground state.
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