A one-dimensional infinite potential well has a length of 2L. i) What are the energy eigenvalues? ii) Calculate the ground state energy if ten protons are confined in the box. Assume that the protons don't interact with each other. iii) If the ten protons are replaced by ten neutral hydrogen atoms, what is the total ground state energy resulting from the confinement? Again, assume that the hydrogen atoms do not interact with each other. You can treat the mass of proton and hydrogen atom to be identical.
A one-dimensional infinite potential well has a length of 2L. i) What are the energy eigenvalues? ii) Calculate the ground state energy if ten protons are confined in the box. Assume that the protons don't interact with each other. iii) If the ten protons are replaced by ten neutral hydrogen atoms, what is the total ground state energy resulting from the confinement? Again, assume that the hydrogen atoms do not interact with each other. You can treat the mass of proton and hydrogen atom to be identical.
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Transcribed Image Text:A one-dimensional infinite potential well has a length of 2L.
i) What are the energy eigenvalues?
ii) Calculate the ground state energy if ten protons are confined in the box. Assume that
the protons don't interact with each other.
iii) If the ten protons are replaced by ten neutral hydrogen atoms, what is the total ground
state energy resulting from the confinement? Again, assume that the hydrogen atoms
do not interact with each other. You can treat the mass of proton and hydrogen atom
to be identical.
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