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# A student of classical physics says, "A charged particle, like an electron orbiting in a simple atom, shouldn't have only certain stable energies; in fact, it should lose energy by electromagnetic radiation until the atom collapses." Answer these two complaints qualitatively, appealing to as few fundamental claims of quantum mechanics as possible.

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According to Quantum Mechanics all the information about a quantum system is in the wave function $\Psi(x,t)$ which we get it by solving Schrodinger equation:

$\begin{gather*} -\dfrac{\hbar^2}{2m}\dfrac{\partial^2\Psi(x,t)}{\partial x^2}+U(x) \Psi(x,t)=i\hbar \dfrac{\partial \Psi(x,t)}{\partial t} \end{gather*}$

We can rewrite the function as:

$\begin{gather*} \Psi(x,t)=\psi(x)e^{-iE/\hbar\;t} \end{gather*}$

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