Physical Chemistry 2 Quiz
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Consider two particles in a 1D box of length LL with the antisymmetric wavefunction Ψ(x1,x2)=2L[sin⁡(πx1L)sin⁡(2πx2L)−sin⁡(2πx1L)sin⁡(πx2L)]\Psi(x_1,x_2) = \sqrt{\frac{2}{L}} [\sin(\frac{\pi x_1}{L})\sin(\frac{2\pi x_2}{L}) - \sin(\frac{2\pi x_1}{L})\sin(\frac{\pi x_2}{L})]. What is the expectation value of the inter-particle distance ⟨∣x1−x2∣⟩\langle |x_1 - x_2| \rangle?
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