Canonical transformation

en

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Canonical transformation

Quality:

Canonical transformation - in Hamiltonian mechanics. Article “Canonical transformation” in English Wikipedia has 47.4 points for quality (as of July 1, 2025). The article contains 27 references and 38 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that (English) language version.

Since the creation of article “Canonical transformation”, its content was written by 70 registered users of English Wikipedia and edited by 237 registered Wikipedia users in all languages.

The article is cited 52 times in English Wikipedia and cited 274 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #54967 in December 2011
  • Global: #27074 in October 2004

The highest popularity rank from 2008:

  • Local (English): #92634 in March 2011
  • Global: #137397 in March 2011

There are 14 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Canonical transformation
47.3985
2German (de)
Kanonische Transformation
30.4016
3Chinese (zh)
正則變換
29.7917
4Japanese (ja)
正準変換
20.4352
5Czech (cs)
Kanonická transformace
18.5395
6Italian (it)
Trasformazione canonica
14.816
7Hebrew (he)
טרנספורמציה קנונית
13.0072
8Catalan (ca)
Transformació canònica
12.8407
9Russian (ru)
Каноническое преобразование
12.5659
10Spanish (es)
Transformación canónica
10.7905
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Canonical transformation" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Canonical transformation
663 938
2German (de)
Kanonische Transformation
147 757
3Italian (it)
Trasformazione canonica
79 476
4Spanish (es)
Transformación canónica
73 453
5Russian (ru)
Каноническое преобразование
60 426
6Japanese (ja)
正準変換
56 095
7Chinese (zh)
正則變換
46 829
8French (fr)
Transformation canonique
26 477
9Korean (ko)
정준변환
13 744
10Ukrainian (uk)
Канонічне перетворення
10 853
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Canonical transformation" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Canonical transformation
2 355
2German (de)
Kanonische Transformation
445
3Italian (it)
Trasformazione canonica
429
4Russian (ru)
Каноническое преобразование
347
5Japanese (ja)
正準変換
309
6Spanish (es)
Transformación canónica
201
7Chinese (zh)
正則變換
192
8French (fr)
Transformation canonique
55
9Korean (ko)
정준변환
39
10Czech (cs)
Kanonická transformace
38
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Canonical transformation" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Canonical transformation
70
2German (de)
Kanonische Transformation
46
3Italian (it)
Trasformazione canonica
32
4French (fr)
Transformation canonique
18
5Russian (ru)
Каноническое преобразование
13
6Spanish (es)
Transformación canónica
11
7Japanese (ja)
正準変換
11
8Chinese (zh)
正則變換
9
9Korean (ko)
정준변환
6
10Ukrainian (uk)
Канонічне перетворення
6
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "Canonical transformation" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Catalan (ca)
Transformació canònica
0
2Czech (cs)
Kanonická transformace
0
3German (de)
Kanonische Transformation
0
4English (en)
Canonical transformation
0
5Spanish (es)
Transformación canónica
0
6French (fr)
Transformation canonique
0
7Hebrew (he)
טרנספורמציה קנונית
0
8Italian (it)
Trasformazione canonica
0
9Japanese (ja)
正準変換
0
10Korean (ko)
정준변환
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Canonical transformation" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Korean (ko)
정준변환
57
2English (en)
Canonical transformation
52
3Chinese (zh)
正則變換
22
4Italian (it)
Trasformazione canonica
21
5Spanish (es)
Transformación canónica
19
6Russian (ru)
Каноническое преобразование
17
7Ukrainian (uk)
Канонічне перетворення
17
8Catalan (ca)
Transformació canònica
15
9German (de)
Kanonische Transformation
13
10French (fr)
Transformation canonique
13
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
caCatalan
Transformació canònica
csCzech
Kanonická transformace
deGerman
Kanonische Transformation
enEnglish
Canonical transformation
esSpanish
Transformación canónica
frFrench
Transformation canonique
heHebrew
טרנספורמציה קנונית
itItalian
Trasformazione canonica
jaJapanese
正準変換
koKorean
정준변환
ruRussian
Каноническое преобразование
thThai
การแปลงแบบบัญญัติ
ukUkrainian
Канонічне перетворення
zhChinese
正則變換

Popularity rank trends

Best Rank English:
#92634
03.2011
Global:
#137397
03.2011

AI rank trends

Best Rank English:
#54967
12.2011
Global:
#27074
10.2004

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Canonical transformation from Wikipedia articles about Poisson bracket, Hamilton–Jacobi equation, Hamiltonian mechanics, Symplectic integrator and Canonical coordinates. Whereas reading the article about Canonical transformation people most often go to Wikipedia articles on Hamiltonian mechanics, Symplectomorphism, Hamilton–Jacobi equation, Canonical coordinates and Liouvilles theorem.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 21 February 2026

On 21 February 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Jeffrey Epstein, Alysa Liu, Eric Dane, 2026 Winter Olympics, Rebecca Gayheart, Johannes Høsflot Klæbo, Wuthering Heights, amyotrophic lateral sclerosis, Andrew Mountbatten-Windsor, John F. Kennedy Jr..

In English Wikipedia the most popular articles on that day were: Eric Dane, Alysa Liu, Rebecca Gayheart, Jeffrey Epstein, 2026 Winter Olympics, Eileen Gu, John F. Kennedy Jr., Carolyn Bessette Kennedy, Deaths in 2026, Johannes Høsflot Klæbo.

About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information