Solving Quantum Objects to Energy-Level Diagrams

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SUMMARY

The discussion focuses on constructing an energy-level diagram for a quantum object with three quantum states, based on the emission of electromagnetic radiation at energies of 0.8 eV, 2.1 eV, and 2.9 eV. The ground state energy is specified as -6 eV. Participants successfully determined the energies of the excited states, ensuring that the transitions correspond to the observed photon emissions. The problem emphasizes the importance of accurately depicting energy levels and transitions in quantum mechanics.

PREREQUISITES
  • Understanding of quantum mechanics principles, specifically energy levels and transitions.
  • Familiarity with electromagnetic radiation and photon energy calculations.
  • Knowledge of energy-level diagrams and their significance in quantum physics.
  • Ability to perform calculations involving potential energy (K+U) in quantum systems.
NEXT STEPS
  • Study the construction of energy-level diagrams in quantum mechanics.
  • Learn about photon emission and absorption processes in quantum systems.
  • Explore the relationship between energy levels and electromagnetic radiation frequencies.
  • Investigate the implications of quantum state transitions on material properties.
USEFUL FOR

Students and educators in physics, particularly those focusing on quantum mechanics, as well as researchers interested in quantum state transitions and energy-level analysis.

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Homework Statement



Suppose we have reason to suspect that a certain quantum object has only three quantum states. When we excite a collection of such objects we observe that they emit electromagnetic radiation of three different energies: 0.8 eV (infrared), 2.1 eV (visible), and 2.9 eV (visible).
(a) Draw a possible energy-level diagram for one of the quantum objects, which has three bound states. On the diagram, indicate the transitions corresponding to the emitted photons, and check that the possible transitions produce the observed photons and no others. When you are sure that your energy-level diagram is consistent with the observed photon energies, enter the energies of each level (K+U, which is negative). Enter ALL levels before submitting; all of the energies must be correct to be properly scored. The energy K+U of the ground state is -6 eV.

Find energy of highest level (2nd excited state)
Find energy of next highest level (1st excited state)

i have no idea how to approach this problem...any help will be appriciated
 
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i solved it thanks
 

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