Hi

Someone is using SAGE in teaching a Quantum Mechanics course
at the institute where I work, and we want to make sure we
are starting off on the right foot.

All SAGE installs are 3.2 built from source.

All students have a local SAGE instance on a P4, 512M, Ubuntu box.
Some of the tests run are on a Linux box with 1G RAM, or an Apple
laptop with 2G. I don't think memory is any problem, as it does not 
fill up during computation. The notebook interface is used.

We do not have any proprietary software, but there is Mathematica
on the apple mac to compare. These two refer:

SAGE Worksheet:
http://users.aims.ac.za/~jan/sage/HeisenbergSpinChain.txt
Mathematica Notebook:
http://users.aims.ac.za/~jan/sage/HeisenbergSpinChain.nb

The questions, and pointers to documentation also appreciated:

1. We don't really get the rings. Is CDF the right (only) 
place for us to start? Is that Double Precision? Is there
an equivalent ring we can use with more precision?

2. The spin computation ssquared(4) takes half an hour
on a Linux box with SAGE, and 1 second on the Apple with Mathematica.

3. The conversions to maxima are done for eigenvalues and eigenvectors,
as the SAGE eigenspaces and eigen* functions crash, or produce results
we are not sure how to extract the vectors from.

4. The h6.eigenvalues() runs for hours. Perhaps days. Will let you 
know when it is done. Whereas the ham(6).eigenvalues produces
spurious results (they should not be complex values).

If anyone has the time to look at and discuss some of these issues
that will be much appreciated, and assist in the growth of using SAGE
to teach in this institute!

regards,
Jan



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