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Study Session 4: Quantum Concepts II

  • Page ID
    31890
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    Name: ______________________________

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    Student ID#:__________________________

    Work in groups on these problems. You should try to answer the questions without referring to your textbook. If you get stuck, try asking another group for help.

    Q1

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

    Q2

    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.

    Q3

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

    Q4

    How does 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?

     


    This page titled Study Session 4: Quantum Concepts II is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by Nancy Levinger.

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