Quantum Theory and Analysis
October 9, 2008
Here are some lecture notes for a course I occasionally teach
The high points of this course are:
I may accumulate solutions to homework problems as the years
roll by. So far I just have one:
The spectral theorem for unbounded self-adjoint operators.
Stone's theorem on strongly continuous 1-parameter unitary groups.
The Kato-Rellich theorem on perturbations of unbounded self-adjoint
operators, with applications to Schrödinger operators.
John Baez and Christopher Walker, Comparing
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.
© 2008 John Baez