(Q) Consider a system of three noninteracting particles that are confined to move in a one-dimensional infinite potential well of length a : V(x) = 0 for 0 < x

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(Q) Consider a system of three noninteracting particles that
are confined to move in a one-dimensional infinite potential
well of length a : V(x) = 0 for 0 < x<a and V(x)= 0 for other
values of x. Determine the energy and wave function of the
ground state , the first and second exited states when the
three particles are
1. spinless and distinguishable with m1 < m2 < m3
2. identical bosones
Transcribed Image Text:(Q) Consider a system of three noninteracting particles that are confined to move in a one-dimensional infinite potential well of length a : V(x) = 0 for 0 < x<a and V(x)= 0 for other values of x. Determine the energy and wave function of the ground state , the first and second exited states when the three particles are 1. spinless and distinguishable with m1 < m2 < m3 2. identical bosones
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