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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeNov 30th 2011
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have included at [[geometric quantization]] the definition of _quantum operators_ associated with a given function on phase space in geometric quantization. Then I decided to split it off to dedicated entry _[[quantum operator]]_.

   I have included at geometric quantization the definition of quantum operators associated with a given function on phase space in geometric quantization. Then I decided to split it off to dedicated entry quantum operator.

2. • CommentRowNumber2.
   • CommentAuthorzskoda
   • CommentTimeNov 30th 2011
   • (edited Nov 30th 2011)
   • PermaLink
   Author: zskoda
   Format: MarkdownItexI am interested who uses the terminology "quantum operator"? I am used to say [[quantum observable]] followed an old tradition. This looks reasonable as in particular as an operator it is just a plain operator, not any kind of a quantum analogue (though some have such generalized operators in noncommutative setups when some people do talk about a quantum operator living in a space of usual operators tensored with some geometric noncommutative algebra or alike). As an observable it is really a quantum analogue of a classical observable. But I read mainly older literature and I am not much familiar with new books and papers on the subject.

   I am interested who uses the terminology “quantum operator”? I am used to say quantum observable followed an old tradition. This looks reasonable as in particular as an operator it is just a plain operator, not any kind of a quantum analogue (though some have such generalized operators in noncommutative setups when some people do talk about a quantum operator living in a space of usual operators tensored with some geometric noncommutative algebra or alike). As an observable it is really a quantum analogue of a classical observable. But I read mainly older literature and I am not much familiar with new books and papers on the subject.

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeNov 30th 2011
   • (edited Nov 30th 2011)
   • PermaLink
   Author: Urs
   Format: MarkdownItexTrue. I find there is a bit of a terminology mess. I was following here the text A. Echeverria-Enriquez, M.C. Munoz-Lecanda, N. Roman-Roy, C. Victoria-Monge, _Mathematical Foundations of Geometric Quantization_ ([arXiv](http://arxiv.org/abs/math-ph/9904008)) which uses "quantum operator" throughout. But at the very least I should add more cross-links to the respective $n$Lab entries. I'll do that now

   True. I find there is a bit of a terminology mess.

   I was following here the text

   A. Echeverria-Enriquez, M.C. Munoz-Lecanda, N. Roman-Roy, C. Victoria-Monge, Mathematical Foundations of Geometric Quantization (arXiv)

   which uses “quantum operator” throughout.

   But at the very least I should add more cross-links to the respective $n$Lab entries. I’ll do that now

4. • CommentRowNumber4.
   • CommentAuthorzskoda
   • CommentTimeNov 30th 2011
   • PermaLink
   Author: zskoda
   Format: MarkdownItexThanks for clarifying your perspective out and the reference.

   Thanks for clarifying your perspective out and the reference.

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeNov 30th 2011
   • PermaLink
   Author: Urs
   Format: MarkdownItexOkay, I have renamed the entry to "quantum observable". That's indeed better. I have added a brief link to it from [[observable]]. Eventually that entry deserves a bit more attention to make it more coherent.

   Okay, I have renamed the entry to “quantum observable”. That’s indeed better.

   I have added a brief link to it from observable. Eventually that entry deserves a bit more attention to make it more coherent.

6. • CommentRowNumber6.
   • CommentAuthorUrs
   • CommentTimeDec 22nd 2017
   • PermaLink
   Author: Urs
   Format: MarkdownItex(years later...) added a little bit of more actual content to _[[prequantum operator]]_.

   (years later…)

   added a little bit of more actual content to prequantum operator.