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Chapter 35: Problem 15
What's the quantum number for a particle in an infinite square well if the particle's energy is 25 times the ground-state energy?
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What's the essential difference between the energy-level structures of infinite and finite square wells?
The table below lists the wavelengths emitted as electrons in identical square-well potentials drop from various states \(n\) to the ground state. Determine a quantity that, when you plot \(\lambda\) against it, should yield a straight line. Make your plot, establish a best-fit line, and use your line to determine the width of the square well. $$\begin{array}{|l|c|c|c|c|c|} \hline \text { Initial state, } n & 4 & 5 & 7 & 8 & 10 \\ \hline \text { Wavelength, } \lambda(\mathrm{nm}) & 1110 & 674 & 354 & 281 & 169 \\ \hline \end{array}$$
A particle is confined to a 1.0 -nm-wide infinite square well. If the energy difference between the ground state and the first excited state is \(1.13 \mathrm{eV},\) is the particle an electron or a proton?
What's the probability of finding a particle in the central \(80 \%\) of an infinite square well, assuming it's in the ground state?
Find an expression for the normalization constant \(A\) for the wave function given by \(\psi=0\) for \(|x|>b\) and \(\psi=A\left(b^{2}-x^{2}\right)\) for \(-b \leq x \leq b\)
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