Perturbation Theory: Solving a/r+br Potential

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SUMMARY

In perturbation theory, when solving for the energy correction in the context of an a/r + br potential, the energy correction is derived from the perturbative expansion of the Hamiltonian. The student, Korova, initially sought guidance on how to utilize the expression obtained after setting up the integral and normalizing it. Ultimately, Korova resolved the issue independently, indicating that the application of the energy correction is straightforward once the integral is correctly formulated.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with perturbation theory concepts
  • Knowledge of Hamiltonian operators
  • Experience with integral calculus in physics
NEXT STEPS
  • Study the application of perturbation theory in quantum mechanics
  • Research the specifics of the a/r + br potential in quantum systems
  • Learn about normalization techniques in quantum mechanics
  • Explore examples of energy corrections in various potentials
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Students of quantum mechanics, physicists working with perturbation theory, and anyone interested in the mathematical techniques used to solve quantum potentials.

Korova
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A quick question from a high school student,

In perturbation theory, what is to be done with the found energy correction? I'm working out the solution to an a/r+br potential and using br as the perturbation. I set up the integral and normalized, but what do I do with the expression that I'm getting?

Thanks in advance,
Korova
 
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bleh... nevermind... I figured it out.
 

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