Exercise 8.2 Consider two identical particles of spin that are confined in a cubical box of side L. Find the energy and the wave function of this system in the case of no interaction between the particles. Exercise 8.3 (a) Consider a system of two nonidentical particles, each of spin 1 and having no orbital angular momentum (i.e., both particles are in s states). Write down all possible states for this system. (b) What restrictions do we get if the two particles are identical? Write down all possible states for this system of two spin 1 identical particles. Exercise 8.4 Two identical particles of spinare enclosed in a one-dimensional box potential of length L with rigid walls at x = 0 and x = L. Assuming that the two-particle system is in a triplet spin state, find the energy levels, the wave functions, and the degeneracies corresponding to the three lowest states.

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Exercise 8.2
Consider two identical particles of spin that are confined in a cubical box of side L. Find the
energy and the wave function of this system in the case of no interaction between the particles.
Exercise 8.3
(a) Consider a system of two nonidentical particles, each of spin 1 and having no orbital
angular momentum (i.e., both particles are in s states). Write down all possible states for this
system.
(b) What restrictions do we get if the two particles are identical? Write down all possible
states for this system of two spin 1 identical particles.
Exercise 8.4
Two identical particles of spinare enclosed in a one-dimensional box potential of length L
with rigid walls at x = 0 and x = L. Assuming that the two-particle system is in a triplet
spin state, find the energy levels, the wave functions, and the degeneracies corresponding to the
three lowest states.
Transcribed Image Text:Exercise 8.2 Consider two identical particles of spin that are confined in a cubical box of side L. Find the energy and the wave function of this system in the case of no interaction between the particles. Exercise 8.3 (a) Consider a system of two nonidentical particles, each of spin 1 and having no orbital angular momentum (i.e., both particles are in s states). Write down all possible states for this system. (b) What restrictions do we get if the two particles are identical? Write down all possible states for this system of two spin 1 identical particles. Exercise 8.4 Two identical particles of spinare enclosed in a one-dimensional box potential of length L with rigid walls at x = 0 and x = L. Assuming that the two-particle system is in a triplet spin state, find the energy levels, the wave functions, and the degeneracies corresponding to the three lowest states.
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