Scrodinger equation: infinite square well problem.

AI Thread Summary
The discussion focuses on calculating the ground state energy of an electron and a proton in a one-dimensional infinite square well, with a width of L=1e-15 m. The ground state energy for the electron is computed as approximately 6e-8 joules, while for the proton, it is about 3.28e-11 joules. The user seeks clarification on whether to assume the first excited state corresponds to n=2 for calculating the energy difference between states. There is a request for assistance, indicating some confusion regarding part c of the problem. Overall, the thread highlights the application of the Schrödinger equation in a nuclear physics context.
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Homework Statement



In the early days of nuclear physics before the neutron was discovered , it was thought that the nucleus contained only electrons and protons. If we consider the nucleus to be a one-dimensional infinite well with L=1e-15 m and ignore relativity, compute the ground state energy for a) the electron and b) the proton in the nucleus. c) compute the energy difference between the ground state and the first excited state. for each particle

Homework Equations



E(n)=n^2 *(h/(2*pi))^2/(2*m*L^2)

The Attempt at a Solution



part a and b wasn't very difficult. a)E=n^2 *(h/(2*pi))^2/(2*m*L^2)=pi^2*(1.054e-34 J*s)^2/((2)*(9.11e-31 kg)(1e-15)^2=6e-8 joules and b) E=n^2 *(h/(2*pi))^2/(2*m*L^2)=pi^2*(1.054e-34 J*s)^2/((2)*(1.67e-27 kg)(1e-15)^2 =3.28e-11 joules. I had trouble with part c. should I assume the first excited state is n=2?
 
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someone please respond to my problem. Anybody. Does my problem appear unreadable?
 
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