### Quantum Theory and Analysis

#### Posted by John Baez

Besides my seminar and an undergrad calculus couse, I’m also teaching a graduate math class on quantum mechanics. I won’t blog about this class, but you can see my lecture notes:

- John Baez, Quantum theory and analysis.

I wrote these notes the first time I taught the course, back in… 1989! I’d just been hired by UCR. I considered myself a mathematical physicist, but I was officially classified as an ‘analyst’ — since my specialty was nonlinear wave equations. Seems like a long time ago. But, I still like quantum theory and analysis.

The main topics are:

- The spectral theorem for unbounded self-adjoint operators.
- Stone’s theorem relating one-parameter unitary groups to self-adjoint operators.
- The Kato–Rellich theorem for proving that perturbations of self-adjoint operators are self-adjoint, with applications to Schrödinger operators.

## Re: Quantum Theory and Analysis

I’m no scientist, not by a long shot, but i have an idea about creation. My theory is short, full of holes, and i have nothing to back it up with but i think it is worth some thought.

There are an unlimited number of questions. For every answer there is always another question. If white holes made the universe and are made by black holes which intern are made by dieing stars etc. What is the force that started these never ending phenomena? But after we find out what caused the universe to come into being then the question “what caused the force or phenomena that caused everything?” and so on and so forth.

There will never be a definite answer to everything. We will always have unanswered questions. No mater how many answers we may come up with. But then again i could be and probably am wrong. I just thought that maybe somone would find it intriguing.