I Electromagnetic radiation, photons, quantized energy levels

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Hello! Im a freshman in college, taking pretty basic chem classes and Ive found myself in a deep dive regarding quantum physics. Im sure this is pretty simple and easy compared to everyone else on here but I feel like I keep getting oversimplified answers that just leave me with more questions/am getting the elementary answer. Currently, we're learning about electromagnetic radiation, specifically pertaining to the atom. My professor keeps repeating energy is quantized, and we have discussed bohrs model, which I understand- an electron can only absorb or emit a specific discreet amount of energy (in the form of a photon obviously) to jump from energy level to energy level. Is it the photons energy level that is quantized or is it that of the electrons within an atom? That is when we use the equation E photon= hv, and an electron can only absorb or emit that specific number or factors of that number, is that due to the fact the photons energy is limited to that number or that the electrons quantized energy levels are the limiting factor? If this makes any sense to anyone some help or guidance would be much appreciated. Im sure Im overcomplicating it, and im very new to this/have never taken a physics class. English is not my first language either so dont judge the spelling...
 
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Its quantized in the Bohr model of the atom. Photons can have any frequency, there is no limitation other than what we have observed to date.

In the Bohr atom, when an elctron drops to a lower orbital, a photon is emitted with energy that corresponds to the energy lost by the electron. Later if that same photon strikes another atom then the photon may be absorbed and an electron will transition to a higher orbital only if the photon provides the exact amount of energy needed to make the transition. It can't be less energy or greater energy. It has to be exactly what is needed for that transition to occur.

This is why when you see stellar light spectrums that have lines missing those photons were absorbed by atoms along the way to your eyes. Neighboring photons with higher or lower frequencies (energies) were not absorbed and so appear in the spectrum.

http://www.columbia.edu/~vjd1/Solar Spectrum Ex.html
 
I am not sure if this falls under classical physics or quantum physics or somewhere else (so feel free to put it in the right section), but is there any micro state of the universe one can think of which if evolved under the current laws of nature, inevitably results in outcomes such as a table levitating? That example is just a random one I decided to choose but I'm really asking about any event that would seem like a "miracle" to the ordinary person (i.e. any event that doesn't seem to...
Not an expert in QM. AFAIK, Schrödinger's equation is quite different from the classical wave equation. The former is an equation for the dynamics of the state of a (quantum?) system, the latter is an equation for the dynamics of a (classical) degree of freedom. As a matter of fact, Schrödinger's equation is first order in time derivatives, while the classical wave equation is second order. But, AFAIK, Schrödinger's equation is a wave equation; only its interpretation makes it non-classical...
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