How to find the energy level if a three state system

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SUMMARY

The discussion centers on deriving the Hamiltonian for a three-state quantum system. It emphasizes that the Hamiltonian is postulated rather than derived, which is a fundamental concept in quantum mechanics. The user seeks clarification on the appropriate vectors to use for constructing the operator and references a resource for further reading on energy levels. The linked document provides additional insights into the topic.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with Hamiltonian operators
  • Knowledge of state vectors in quantum systems
  • Basic grasp of energy level calculations in quantum mechanics
NEXT STEPS
  • Study the derivation of Hamiltonians for multi-state systems
  • Explore the concept of state vectors in quantum mechanics
  • Learn about energy level calculations in three-state systems
  • Review the provided resource on Hamiltonians and energy levels
USEFUL FOR

Students of quantum mechanics, physicists working with multi-state systems, and researchers interested in Hamiltonian formulations and energy level analysis.

Zachary Nichols
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I'm having trouble figuring out how to derive a Hamiltonian for a three state system. I know how to for two state system but for a three state I don't know what vectors I could use to derive the operator. Could someone explain how to do it and give a link to somewhere I read about it
 
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