Griffiths Problem 4.16 | Is Figure 4.18 a Mistake?

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In summary, Griffiths Problem 4.16 is a physics problem involving finding the wave function and energy eigenvalues for a particle in a one-dimensional infinite square well potential. Figure 4.18 in this problem is a graph that shows the potential energy function, allowed energy levels, and corresponding wave functions. Despite some students questioning its accuracy, Figure 4.18 is not a mistake and is a simplification used to illustrate the concept of energy quantization. This figure is significant in demonstrating the quantization of energy in a particle in a one-dimensional infinite square well potential, which is an important concept in quantum mechanics.
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ehrenfest
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[SOLVED] Griffiths Problem 4.16

Homework Statement


This question refers to Griffiths E and M book.

Is Figure 4.18 a mistake? It says the polarization is uniform, not radial!


Homework Equations





The Attempt at a Solution

 
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You are looking at the wrong figure. It's the one next to it. I don't intend any offense, but you have to think about the problems and look at them carefully, otherwise the help you get won't mean anything.
 
  • #3
That's embarrassing.
 

1. What is Griffiths Problem 4.16?

Griffiths Problem 4.16 is a physics problem presented in the textbook "Introduction to Quantum Mechanics" by David J. Griffiths. It involves finding the wave function and energy eigenvalues for a particle in a one-dimensional infinite square well potential.

2. What is Figure 4.18 in Griffiths Problem 4.16?

Figure 4.18 is a graph that shows the potential energy function for the particle in the infinite square well, as well as the allowed energy levels and corresponding wave functions.

3. Is Figure 4.18 a mistake?

This is a common question among students studying Griffiths Problem 4.16. The answer is no, Figure 4.18 is not a mistake. It accurately represents the potential energy function and allowed energy levels for the particle in the infinite square well.

4. Why do students question the accuracy of Figure 4.18?

Some students may question the accuracy of Figure 4.18 because it shows the potential energy function as a step function, while in reality it is a continuous function. This is simply a simplification made for the sake of illustration, and does not affect the overall accuracy of the problem.

5. What is the significance of Figure 4.18 in Griffiths Problem 4.16?

Figure 4.18 is used to demonstrate the quantization of energy in a particle in a one-dimensional infinite square well potential. It shows the discrete energy levels that the particle can occupy, and the corresponding wave functions. This is an important concept in quantum mechanics.

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