Solving Quantum Objects to Energy-Level Diagrams

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The discussion revolves around a homework problem involving a quantum object with three quantum states that emit electromagnetic radiation at specific energies: 0.8 eV, 2.1 eV, and 2.9 eV. Participants are tasked with creating an energy-level diagram that accurately represents these states and the transitions that correspond to the emitted photon energies. The ground state energy is given as -6 eV, and students must calculate the energies of the excited states while ensuring that the diagram aligns with the observed emissions. The original poster expresses confusion but later confirms they have solved the problem. The thread emphasizes the importance of correctly identifying energy levels and transitions in quantum mechanics.
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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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