Given a set of parameters such as the mode and the orders for the eigenfrequencies, the thought experiment is presenting a microscopic model that would compute the eigenenergy that is thought of as a consequence of the orbiting electron radiating energy. The experiment is staying with the particle model for the hydrogen atom where results known from macroscopic hollow cavity resonators are adopted to develop the microscopic model. The electron is playing the role of an exciter of electromagnetic energy within a shell of an atom that it is orbiting in. Conversely, it would be more difficult a task to determine the set of parameters for a given set of data for the eigenenergy as the correct factor Ceigen is not known. Ceigen is tied up with the understanding how electromagnetic fields behave in atomic dimensions. Classical Physics predicts that the electron as an accelerated charge would radiate or lose energy. It would thus spiral “down” into the nucleus and the hydrogen atom would not exist. In some way the electron is replenished with energy however. The quest to understand how nature keeps it in its orbit is the motivation behind the thought experiment.
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