Suppose that five electrons are placed in a one-dimensional infinite potential well of length L. What is the energy of the ground state of this system of five electrons? What are the possible values of S₂ that an experimentalist might see if they were to measure S, for this system? Take the exclusion principle into account and ignore the Coulomb interaction of the electrons with each other.

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16.) Suppose that five electrons are placed in a one-dimensional infinite
potential well of length L. What is the energy of the ground state of
this system of five electrons?
What are the possible values of S₂ that an experimentalist might see
if they were to measure S₂ for this system? Take the exclusion principle
into account and ignore the Coulomb interaction of the electrons with
each other.
Transcribed Image Text:16.) Suppose that five electrons are placed in a one-dimensional infinite potential well of length L. What is the energy of the ground state of this system of five electrons? What are the possible values of S₂ that an experimentalist might see if they were to measure S₂ for this system? Take the exclusion principle into account and ignore the Coulomb interaction of the electrons with each other.
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Step 1: Required to give the energy of the ground state and pssible values of S_z

Required to give the energy of the ground state and pssible values of S_z

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