Ground state energies and potential

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SUMMARY

This discussion focuses on comparing ground state energies of quantum systems represented by potential diagrams. Three specific potentials are analyzed: a potential well and two potentials with small perturbations. Participants emphasize the importance of visualizing the x vs V graphs to determine the order of ground state energies. The conclusion highlights that the potential well typically has the lowest ground state energy due to its stable configuration.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with potential energy diagrams
  • Knowledge of ground state energy concepts
  • Ability to interpret graphical data in physics
NEXT STEPS
  • Research the properties of potential wells in quantum mechanics
  • Learn about perturbation theory and its effects on ground state energies
  • Study graphical analysis techniques for potential energy diagrams
  • Explore case studies involving multiple potentials and their ground states
USEFUL FOR

Students of quantum mechanics, physicists analyzing potential energy systems, and educators preparing materials on ground state energy comparisons.

tyogav
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How to compare the ground state energies if diagrams containing x vs V are given. I saw a problem containing diagrams three potentials and they have asked to arrange them in order of their ground state energies. One was a potential well, and the other two had small perturbation in the middle. How to start this?
 
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Post the graphs of the three potentials.
 
Dr. Courtney said:
Post the graphs of the three potentials.
And post in the homework forums please...
 

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