Each of 2N electrons (mass m) is free to move along the x-axis. The potential energy for each electron is U(x) = kx², where k is a positive constant. The electric and magnetic interactions between electrons are ignored. Use the exclusion principle and find the minimum energy of the system of 2N electrons.

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Each of 2N electrons (mass m) is free to move along the x-axis. The
potential energy for each electron is U(x) = kx², where k is a positive
constant. The electric and magnetic interactions between electrons are
ignored. Use the exclusion principle and find the minimum energy of the
system of 2N electrons.
Transcribed Image Text:Each of 2N electrons (mass m) is free to move along the x-axis. The potential energy for each electron is U(x) = kx², where k is a positive constant. The electric and magnetic interactions between electrons are ignored. Use the exclusion principle and find the minimum energy of the system of 2N electrons.
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