quadrupole operator

You probably were familiar to the hamiltonian for the magnetic interaction. You met it many times in your education, in classical physics and in quantum physics. But do you know how the hamiltonian of the quadrupole interaction looks like? In this video you will learn how to construct it (in a sketch-like way), starting from the classical expression for the quadrupole interaction.

Note: Some slides in the video refer to pages in an optional text, which you can download here. This is an unevolved copy of a chapter of what ones was meant to become a book related to this course (since then, more efficient ways to distribute knowledge have appeared, making the book less of a priority). You may browse through that chapter for additional clarifications and elaborations if you want, but be aware that it is a text under construction that was left alone — it comes without guarantee.

If you want to inspect an explicit calculation of the matrix elements discussed in the video above, you might watch this discussion (optional).

The two questions related to this topic are available for download here. They can be answered in two steps:

1. The two ways how to determine the presence of axial symmetry, can be submitted to this ‘post first’ forum:

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2. A proposal for a simple toy model that is not axially symmetric, can be uploaded via this button (this may be a description in words, or a sketched picture — always converted to pdf format):

no axial symmetry

Expected time: 40 minutes (report)