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This is a question with four parts, so all four parts should be answered

1. Consider the following spin wave functions for a system of two identical Are they symmetric or antisymmetric wavefunction? If not, construct a suitable symmetric wavefunction combining vi and v?2. Dont forget to 2. Show that the symmetric wavefunction obtained above is orthogonal to 3. Prove that the symmetric wavefunction obtained above has the spin com- 4. Find out whether Boron (mass-10), Nitrogen (14) and Oxygen (16) are normalize it. ponent along the z axis (Sz) equal to 0. Fermions or a Bosons.

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