Scrodinger equation: infinite square well problem.

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SUMMARY

The discussion focuses on calculating the ground state energy of an electron and a proton within a one-dimensional infinite square well, specifically with a width of L=1e-15 m. The ground state energy for the electron is computed as 6e-8 joules, while for the proton, it is 3.28e-11 joules. The participant seeks clarification on calculating the energy difference between the ground state and the first excited state, assuming n=2 for the excited state. The relevant equation used is E(n)=n^2 *(h/(2*pi))^2/(2*m*L^2).

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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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