Estimating the eigenvalue with the second-order pertubation theory

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SUMMARY

The discussion centers on estimating eigenvalues using second-order perturbation theory within the context of quantum mechanics. Participants seek clarification on the foundational concepts necessary for applying this theory effectively. A reference link to a quantum mechanics lecture is provided, indicating the relevance of established academic resources in understanding the topic. The conversation highlights the importance of clear communication and foundational knowledge in tackling complex quantum mechanics problems.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with eigenvalues and eigenvectors
  • Knowledge of perturbation theory
  • Ability to interpret academic resources in physics
NEXT STEPS
  • Study the fundamentals of quantum mechanics
  • Learn about eigenvalue problems in linear algebra
  • Research second-order perturbation theory applications
  • Review academic lectures and papers on quantum mechanics
USEFUL FOR

Students and researchers in physics, particularly those focusing on quantum mechanics and mathematical methods in physics, will benefit from this discussion.

mancan987
Homework Statement
I need to use the second order pertubation theory to estimate the lowest order eigen value. I'm not sure where to even start in solving this problem. What would be the steps I need to take in order to solve?
Relevant Equations
I was given an integral that I can use, but as I just want to know the steps to solve the problem, haven't listed here.
Not sure where to start!
 
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