Teorema di Ehrenfest

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Teorema di Ehrenfest

Quality:

Ehrenfest theorem - theorem that the time evolution of the expectation value of a quantum observable is proportional to that of the commutator between the observable and the Hamiltonian (plus that of any explicit time dependence of the operator, if any). Article "Teorema di Ehrenfest" in Italian Wikipedia has 15.2 points for quality (as of November 1, 2023). The article contains 4 references and 9 sections.

This article has the best quality in English Wikipedia. Also, this article is the most popular in that language version.

Since the creation of article "Teorema di Ehrenfest", its content was written by 39 registered users of Italian Wikipedia and edited by 277 registered Wikipedia users in all languages.

The article is cited 5 times in Italian Wikipedia and cited 551 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Italian): #803 in November 2004
  • Global: #29887 in June 2006

The highest popularity rank from 2008:

  • Local (Italian): #67739 in January 2008
  • Global: #139907 in September 2008

There are 23 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 November 1, 2023 (including revision history and pageviews for previous years).

下表顯示了最高品質的文章的語言版本。

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Ehrenfest theorem
24.138
2Chinese (zh)
埃倫費斯特定理
23.0106
3Hebrew (he)
משפט ארנפסט
22.3316
4Vietnamese (vi)
Định lý Ehrenfest
15.4374
5Italian (it)
Teorema di Ehrenfest
15.2201
6Ukrainian (uk)
Теорема Еренфеста
15.1184
7Finnish (fi)
Ehrenfestin teoreema
13.1395
8Indonesian (id)
Teorema Ehrenfest
12.7374
9Korean (ko)
에렌페스트 정리
10.7804
10Russian (ru)
Теорема Эренфеста
10.4381
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 "Teorema di Ehrenfest" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Ehrenfest theorem
744 866
2German (de)
Ehrenfest-Theorem
203 548
3Japanese (ja)
エーレンフェストの定理
87 288
4Russian (ru)
Теорема Эренфеста
71 139
5French (fr)
Théorème d'Ehrenfest
60 490
6Spanish (es)
Teorema de Ehrenfest
57 754
7Italian (it)
Teorema di Ehrenfest
53 873
8Chinese (zh)
埃倫費斯特定理
39 964
9Portuguese (pt)
Teorema de Ehrenfest
27 056
10Polish (pl)
Twierdzenie Ehrenfesta
26 534
More...

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

Most popular in October 2023

The most popular language versions of the article "Teorema di Ehrenfest" in October 2023
#LanguagePopularity awardRelative popularity
1English (en)
Ehrenfest theorem
6 880
2German (de)
Ehrenfest-Theorem
951
3Spanish (es)
Teorema de Ehrenfest
583
4Japanese (ja)
エーレンフェストの定理
556
5French (fr)
Théorème d'Ehrenfest
512
6Italian (it)
Teorema di Ehrenfest
474
7Chinese (zh)
埃倫費斯特定理
341
8Russian (ru)
Теорема Эренфеста
331
9Korean (ko)
에렌페스트 정리
152
10Portuguese (pt)
Teorema de Ehrenfest
136
More...

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

The highest AI

Language versions of the article "Teorema di Ehrenfest" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Ehrenfest theorem
67
2Italian (it)
Teorema di Ehrenfest
39
3German (de)
Ehrenfest-Theorem
36
4French (fr)
Théorème d'Ehrenfest
22
5Russian (ru)
Теорема Эренфеста
16
6Polish (pl)
Twierdzenie Ehrenfesta
15
7Japanese (ja)
エーレンフェストの定理
11
8Chinese (zh)
埃倫費斯特定理
10
9Greek (el)
Θεώρημα του Έρενφεστ
8
10Czech (cs)
Ehrenfestovy teorémy
7
More...

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

The highest AI in October 2023

Language versions of the article "Teorema di Ehrenfest" with the highest AI in October 2023
#LanguageAI awardRelative AI
1Arabic (ar)
مبرهنة إيهرينفيست
0
2Belarusian (be)
Тэарэма Эрэнфеста
0
3Bulgarian (bg)
Теорема на Еренфест
0
4Czech (cs)
Ehrenfestovy teorémy
0
5German (de)
Ehrenfest-Theorem
0
6Greek (el)
Θεώρημα του Έρενφεστ
0
7English (en)
Ehrenfest theorem
0
8Spanish (es)
Teorema de Ehrenfest
0
9Persian (fa)
قضیه ارنفست
0
10Finnish (fi)
Ehrenfestin teoreema
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 "Teorema di Ehrenfest" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Portuguese (pt)
Teorema de Ehrenfest
121
2Russian (ru)
Теорема Эренфеста
87
3Polish (pl)
Twierdzenie Ehrenfesta
79
4Japanese (ja)
エーレンフェストの定理
62
5Ukrainian (uk)
Теорема Еренфеста
56
6English (en)
Ehrenfest theorem
38
7Belarusian (be)
Тэарэма Эрэнфеста
22
8French (fr)
Théorème d'Ehrenfest
15
9German (de)
Ehrenfest-Theorem
14
10Chinese (zh)
埃倫費斯特定理
12
More...

Scores

Estimated value for Wikipedia:
Italian:
Global:
Popularity in October 2023:
Italian:
Global:
Popularity in all years:
Italian:
Global:
Authors in October 2023:
Italian:
Global:
Registered authors in all years:
Italian:
Global:
Citations:
Italian:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
مبرهنة إيهرينفيست
beBelarusian
Тэарэма Эрэнфеста
bgBulgarian
Теорема на Еренфест
csCzech
Ehrenfestovy teorémy
deGerman
Ehrenfest-Theorem
elGreek
Θεώρημα του Έρενφεστ
enEnglish
Ehrenfest theorem
esSpanish
Teorema de Ehrenfest
faPersian
قضیه ارنفست
fiFinnish
Ehrenfestin teoreema
frFrench
Théorème d'Ehrenfest
heHebrew
משפט ארנפסט
idIndonesian
Teorema Ehrenfest
itItalian
Teorema di Ehrenfest
jaJapanese
エーレンフェストの定理
koKorean
에렌페스트 정리
plPolish
Twierdzenie Ehrenfesta
ptPortuguese
Teorema de Ehrenfest
ruRussian
Теорема Эренфеста
slSlovenian
Ehrenfestov izrek
ukUkrainian
Теорема Еренфеста
viVietnamese
Định lý Ehrenfest
zhChinese
埃倫費斯特定理

Popularity rank trends

Best Rank Italian:
#67739
01.2008
Global:
#139907
09.2008

AI rank trends

Best Rank Italian:
#803
11.2004
Global:
#29887
06.2006

Local AI rank history

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Ehrenfest theorem from Wikipedia articles about Paul Ehrenfest, Heisenberg picture, Correspondence principle, Virial theorem and Quantum mechanics. Whereas reading the article about Ehrenfest theorem people most often go to Wikipedia articles on Paul Ehrenfest, Heisenberg picture, Correspondence principle, Liouvilles theorem and Koopman–von Neumann classical mechanics.

Cumulative results of quality and popularity of the Wikipedia article

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

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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 November, 2023. When calculating current popularity and AI of articles data from October 2023 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2023... More information