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Chemistry LibreTexts

Study Session 4: Quantum Concepts II

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  • Page ID
    31890
  • Demonstrate concepts from class

    Show that the eigenfunctions of the 1D particle in a box are orthonormal.

    Show that a dipole operator of the form, \(\hat \mu=\mu_0\hat x\) can lead to a transition between two levels in the 1D particle in a box. 

    Show that eigenfunctions of degenerate energy states of the 2D particle in a box are orthogonal. 

    How deos a dipole operator of the form \(\hat\mu=\mu_0\hat r=\mu_{0,x}\hat x +\mu_{0,y}\hat y\) affect eigenfunctions of degenerate energy states of the 2D particle in a box? Can it interconvert these states?