Quantum Theory and Analysis
John Baez
October 9, 2008
Here are some lecture notes for a course I occasionally teach
at UCR:
The high points of this course are:

The spectral theorem for unbounded selfadjoint operators.

Stone's theorem on strongly continuous 1parameter unitary groups.

The KatoRellich theorem on perturbations of unbounded selfadjoint
operators, with applications to Schrödinger operators.
I may accumulate solutions to homework problems as the years
roll by. So far I just have one:

John Baez and Christopher Walker, Comparing
operator topologies.
Show that the powers of the right shift operator
converge to zero weakly, but not strongly. Show that the powers
of the left shift operator converge to zero
strongly, but not in norm.
If you discover any errors in the course notes
please email me, and I'll try to correct them.
I'll keep a list of errors that
haven't been fixed yet.
You can also download
LaTeX files of the
lecture notes, if for some bizarre reason you want
them. However, the authors keep all rights to this work, except
when stated otherwise.
baez@math.removethis.ucr.andthis.edu
© 2008 John Baez