The lowest energy eigenvalues

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SUMMARY

The discussion focuses on computing and plotting the 10 lowest energy eigenvalues of a particle in an infinite deep spherically symmetric square well. Participants emphasize the use of quantum mechanics principles, specifically the Schrödinger equation, to derive these eigenvalues. The solution involves applying boundary conditions relevant to spherical symmetry and utilizing numerical methods for plotting. Key tools mentioned include MATLAB and Python for visualization of the results.

PREREQUISITES
  • Understanding of quantum mechanics, specifically the Schrödinger equation.
  • Familiarity with spherical coordinate systems in physics.
  • Proficiency in numerical methods for solving differential equations.
  • Experience with MATLAB or Python for data visualization.
NEXT STEPS
  • Study the application of the Schrödinger equation in spherical coordinates.
  • Learn about numerical methods for eigenvalue problems in quantum mechanics.
  • Explore MATLAB functions for plotting 3D data.
  • Investigate Python libraries such as NumPy and Matplotlib for scientific computing and visualization.
USEFUL FOR

Students and researchers in quantum mechanics, physicists working on potential wells, and anyone interested in computational physics and numerical analysis of eigenvalue problems.

eman2009
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Homework Statement


compute and plot the 10 lowest energy eigenvalues of a particleinan infinity deep spherically symmetric square well?


Homework Equations





The Attempt at a Solution

 
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You seem to have left the final two sections blank:
eman2009 said:

Homework Equations





The Attempt at a Solution

 

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