Friday, April 27, 2007

Quntum mechanics

I declare the next week "Quantum mechanics and Fuctional Analasys Week"
I understand that I am not good at quantum mechanics... yet

P.S. I borrow S. Flugge's book "Practical Quantum Mechanics"
I have heard it is a very good book.

Friday, April 20, 2007

Quantum Meachanics

I think that the main mistake I often do learning Quantum Mechanics is trying to apply classical physical experience. It causes a lot of different misunderstanding and paradoxes. For example, there are not equilibrium state in classic physics if U = -Fx (U is a potentional energy). But there is a solution of stationary Schrödinger's equation. It is a quite interesting.

P.S. I hope I haven't made a mistake.

Thursday, April 19, 2007

Kolmogov's book

Kolmogov's book is a rather good one for the first reading. It's much more easier. Partially because Kolmogorov considered normed vector spaces. Normed vector spaces is rather simplier to imagine. And "imagination is more important than knowledge". Of course, one can learn to imagine abstract topological spaces. But I believe he cound not do it without understanding more easier theories.
Education is spiral. Let's explain what I mean. I learned the whole physics at school. I builded the whole world picture in school. I moved in a circle around the start point (the point of total ignorance). But what happened then? I entered to a university and started to learn physics from the mechanics. I learned the same domain of physics but more deeply. It was the second circle.

I think Kolmogorov's book is the first circle of an exciting travel through fuctional analysis

Wednesday, April 18, 2007

The "Fuctional Analysis" is a quite complicated book for the first reading. Konstantinov advises to read the book of the great russian mathematician Kolmogorov. His book doesn't provide so great commonness as Rudin's one does. But one should get a conceptus of the classic fucntion analysis to understand the Rusin's book.

Quantum mechanics.

When browsing internet I found an interesting article.
It is intitled "A Do-It-Yourself Quantum Eraser" by Scientific American.
It describes about easy-to-make quantum mechanic experement. If you want to touch quantum mechanics I think you like the article.

Tuesday, April 17, 2007

The first post

I'm not a physicist. I have never been a physicist and I would never be a physicist. I really don't understand physics. Maybe somebody says I understand physics. Maybe... Everything is possible if it is not forbidden by physics laws. I have learned physics enought to understand I would never be a great physics. I try to gain an understanding of solid body models last night, but I had done only three problems. (I like phonons model)

But mathimatics is a horse of a different colour. Abstract structures and not less abstract argumentations have never scared me. I always like to get at the heart of the matter, to find really fundamental properties of things. Therefore I like functional analysis. I get pleasure from reading the book "Functional Analysis" by Walter Rudin. It's a pity that I haven't enought time to read it right now (and it is not a book for the rapid reading). I have to solve some problems of theoretical phycics (Now I learn non-relativistic theory of quantum mechanics).