Q15DQ A particle is confined to a fini... [FREE SOLUTION]

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University Physics with Modern Physics

Hugh D. Young, Roger A. Freedman

Physics

14th edition Edition 路 1596 pages

ISBN: 9780321973610

Chapter 6: Q15DQ (page 1353)

A particle is confined to a finite potential well in the region 0 < x < L . How does the area under the graph of $| 蠄 |^{2}$ in the region 0 < x < L compare to the total area under the graph of $| 蠄 |^{2}$ when including all possible x?

Short Answer

Expert verified

The area under the graph of ${|蠄|}^{2}$ in the region 0 < x < L constitutes the majority of the total area under the graph of ${|蠄|}^{2}$ when including all possible x.

Step by step solution

Wave function of a particle in finite potential

The wave function of particle in finite potential is sinusoidal in the region 0<x<L of finite potential well and it is exponential outside region 0<x<L the finite potential well.

Comparison of the total area of |ψ|2 under and outside the region 0<x<L

The rate of decay of falling exponential part of wave function outside the region 0<x<L is very large therefore the area under the graph of ${|蠄|}^{2}$ is practically zero.

Hence, the majority of the total area lies under the graph ${|蠄|}^{2}$ in region 0<x<L of finite potential well.

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91影视

A particle is confined to a finite potential well in the region 0 < x < L . How does the area under the graph of $| 蠄 |^{2}$ in the region 0 < x < L compare to the total area under the graph of $| 蠄 |^{2}$ when including all possible x?

Short Answer

Step by step solution

Wave function of a particle in finite potential

Comparison of the total area of |ψ|2 under and outside the region 0<x<L

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91影视

A particle is confined to a finite potential well in the region 0 < x < L . How does the area under the graph of |蠄|2 in the region 0 < x < L compare to the total area under the graph of |蠄|2 when including all possible x?

Short Answer

Step by step solution

Wave function of a particle in finite potential

Comparison of the total area of |ψ|2 under and outside the region 0<x<L

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Magnetism

Medical Physics

Further Mechanics and Thermal Physics

Classical Mechanics

Rotational Dynamics

Translational Dynamics

Study anywhere. Anytime. Across all devices.

A particle is confined to a finite potential well in the region 0 < x < L . How does the area under the graph of $| 蠄 |^{2}$ in the region 0 < x < L compare to the total area under the graph of $| 蠄 |^{2}$ when including all possible x?