Particle in one dimension wave function from Quantum Mechanics

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SUMMARY

The discussion focuses on plotting the wave function of a particle in one dimension as part of a Quantum Mechanics problem. Participants mention using Excel's ERF function for graphing and Overleaf LaTeX for plotting. The conversation emphasizes the importance of verifying each part of the solution, specifically parts (i), (ii), (iii), and (iv), to ensure accuracy in the results. Troubleshooting and self-verification are highlighted as essential steps in confirming the correctness of the solutions.

PREREQUISITES
  • Understanding of Quantum Mechanics wave functions
  • Familiarity with Excel, specifically the ERF function
  • Experience using Overleaf for LaTeX document preparation
  • Basic integration techniques in calculus
NEXT STEPS
  • Research how to plot wave functions using Python libraries like Matplotlib
  • Learn advanced features of Overleaf for scientific plotting
  • Explore the significance of the magnitude-squared of wave functions in Quantum Mechanics
  • Study troubleshooting techniques for mathematical proofs and solutions
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Students and professionals in Quantum Mechanics, physicists working on wave functions, and anyone interested in scientific data visualization techniques.

BlondEgg
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Homework Statement
Using various def's in Quantum Mechanics for a particle in one dimension.
Relevant Equations
Wave function
Hi,

I try and solve this problem

1721511249924.png

I have solved the problem in different parts

1721511357658.png

1721511427351.png

But me not sure how to plot the graph. Maybe someone knows?

Merci
 
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BlondEgg said:
But me not sure how to plot the graph. Maybe someone knows?
With a plotting program? Excel has the ERF function that you can use.
 
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kuruman said:
With a plotting program? Excel has the ERF function that you can use.
merci

I plotted in overleaf latex

1721513497875.png

Do you know if the other parts (i) (ii) (iii) (iv) are good?

Best wishes to you
 
BlondEgg said:
Do you know if the other parts (i) (ii) (iii) (iv) are good?
What do you think? There comes a time when you need to troubleshoot your own work. Look at your answers and try to prove them wrong. If you can't, then they are probably correct.

For example, in (i) when you integrated did you get 1 or did you not?
In (ii), is you answer the magnitude-squared of what you got in (i) or is it not?

And so on.
 
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