|WikiProject Physics||(Rated Start-class, High-importance)|
This article needs rewriting
This article needs rewriting. I propose the following line: to explain first operators which carry out symmetry transformations on physical states: space-time translation, rotation, boosts, etc. Its role in field theory (both classical and quantum), and then the idea of "generator" and its relation to physical observables. A brief mention of representation theory would finish the trick... What do you think? Javirl 10:10, 10 November 2005 (UTC)
- Sounds good. That's how most of my textbooks are laid out as far as I can remember. — Laura Scudder ☎ 16:21, 10 November 2005 (UTC)
I think one of two things should be done.
1, it should be made clearer what is meant in the first few sentences by "physical state", or
2, there should be a wiki link to an article that would make the above clearer.
Can someone with specific knowledge on this subject change the link from generator (in the concept of generator paragraph) to somewhere more appropriate. At a guess I would say its generating set of a group or maybe generator matrix thanks FlyHigh 14:23, 13 November 2006 (UTC)
- it seems that it's better not to link at all. the (infinitesimal) generator of the group of dynamics, in functional analysis, is not the same as, say, the generators of a group, in combinatorial group theory. Mct mht 20:40, 13 November 2006 (UTC)
Rename to Mathematical operators in physics?
I think this article should be moved to another title like Mathematical operators in physics (I created the article as a redirect for now) because essentially this article does not define operators in physics as something different from operators in mathematics, on the contrary, it discusses applications of operators to physics. It would be thus logical to move the page such that its title reflects this fact. The reason that I'm writing about this is because have recently started rewriting operator (mathematics) (I moved it from operator) with an ambition to end confusion of operator and operation on Wikipedia and thus allow the article on operator to develop into something good. However, now I feel confused when disambiguating operator on physics articles, because operator and operator (physics) are essentially about the same thing. — Kallikanzaridtalk 07:53, 20 December 2010 (UTC)
I thought it would help to list and sumarize the operators in one place (so now it does contain definitions) - where better else to do it? Changing the name doesn't really gain anything - mathematical operators in physics is no different to operators (physics).Maschen (talk) 19:36, 8 August 2011 (UTC)
Matrix rep + Hermiticity
Use in classical mechanics
The entire description of the utility of these operators in classical mechanics is the phrase: "Let us consider this function to be invariant under the action of a certain group of transformations". After telling us to consider that, this assumption goes nowhere. Nothing is derived from that consideration, and the reader is left wondering why he was told to consider it. Can someone please explain how these operators are used in classical mechanics? 188.8.131.52 (talk) 14:35, 5 May 2012 (UTC)