Electronic copy of Harter's book is available free at https://modphys.hosted.uark.edu/markup/PSDS_Info.html WFL On 9/21/20, Brad Klee <bradklee@gmail.com> wrote:
https://www.google.com/search?q=axis+definition
An axis is a one parameter line, about which an arbitrarily small rotation may occur. The fixed rotational axis can be written:
z(t)=(1,1,1,...,1)*t, t from -infty to + infty.
You didn't comment on the answer 2*Pi*m/(2*k+1) for plane E_m. Does it match what you have?
The other interpretation for label m is as a Jz quantum number, where Jz is the z component of the (quantized) angular momentum vector. Jz can also be used as a generator for infinitessimal rotations around the z(t) axis.
This is all discussed in Harter’s “Symmetry Principles of Dynamics and Spectroscopy”.
Did no one else read this book?
—Brad
On Sep 21, 2020, at 10:39 AM, Dan Asimov <dasimov@earthlink.net> wrote:
-----
Okay, that makes things easier than T an arbitrary rotation around the same axis (it is possible to generalize though). -----
What does the word "axis" mean here?
—Dan
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