## Related questions with answers

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.

Solution

VerifiedAccording 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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