PHYS 320: Mathematical Physics
Offering "...sparking Legendre magic in [your] soul" since at least 2001! (Thanks to Ryan Tamburrino)
Course information (pdf):
Questions, Problems and Reading (pdf):
Some recent topics:
The NIST Digital library of Mathematical Functions.
A more careful statement (pdf) of the existance and uniqueness of solutions.
Here is pdf of the slope field example we discussed - but did not see! - in class.
Reading (3.9 MB pdf) on Sturm-Liouville theory from Arfken and Weber.
Michael Berry's Physics Today article on Special Functions.
Reading on the Frobenius method from Arfken. An example of the method starts on page 395.
Dirac Notation Primer (There is also a little bit on the notation in Boas, see page 181.)
The 2019 Special Functions presentation list.
A video of standing waves on a soap film disk. The Bessel functions are identified. The background music may be safely ignored.
Info on the cosmic microwave background radiation (CMBR) power spectrum. Here is some old COBE images and new Planck result including polarization data, WMAP (5 yr results). The black body spectrum from COBE which helped win the 2006 Nobel Prize
Lovely Simulations of hydrogenic orbitals from falstad.com
Math Methods Poetry (pdf):
Last modified 10 May 2019