Born rule

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Born rule

Quality:

Born rule - in quantum mechanics, the rule that the probability of observing an eigenvalue is the square of the modulus of the inner product between the quantum state and the eigenstate corresponding to the eigenvalue. Article “Born rule” in English Wikipedia has 28.7 points for quality (as of July 1, 2025). The article contains 23 references and 5 sections.

This article has the best quality in Chinese Wikipedia. However, this article is the most popular in English version.

In June 2025 the article “Born rule” was edited by 2 authors in English Wikipedia and written by 5 authors in all languages.

Since the creation of article “Born rule”, its content was written by 121 registered users of English Wikipedia and edited by 247 registered Wikipedia users in all languages.

The article is cited 235 times in English Wikipedia and cited 684 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #21270 in May 2024
  • Global: #82568 in May 2024

The highest popularity rank from 2008:

  • Local (English): #96185 in December 2017
  • Global: #123358 in December 2017

There are 18 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
1Chinese (zh)
玻恩定則
36.8814
2English (en)
Born rule
28.6866
3Spanish (es)
Regla de Born
25.304
4Ukrainian (uk)
Правило Борна
22.0374
5Korean (ko)
보른 규칙
21.7495
6Catalan (ca)
Norma de Born
21.5649
7Italian (it)
Legge di Born
20.9928
8Slovenian (sl)
Bornovo pravilo
19.0334
9Vietnamese (vi)
Định luật Born
17.4563
10Portuguese (pt)
Regra de Born
15.5588
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 "Born rule" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Born rule
929 401
2German (de)
Bornsche Wahrscheinlichkeitsinterpretation
132 288
3Japanese (ja)
ボルンの規則
63 234
4Russian (ru)
Правило Борна
34 765
5Chinese (zh)
玻恩定則
26 312
6Portuguese (pt)
Regra de Born
15 190
7Italian (it)
Legge di Born
9 930
8Dutch (nl)
Waarschijnlijkheidsinterpretatie van Born
9 641
9Spanish (es)
Regla de Born
4 518
10Vietnamese (vi)
Định luật Born
3 513
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 "Born rule" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Born rule
6 877
2Japanese (ja)
ボルンの規則
553
3German (de)
Bornsche Wahrscheinlichkeitsinterpretation
481
4Russian (ru)
Правило Борна
359
5Chinese (zh)
玻恩定則
228
6Vietnamese (vi)
Định luật Born
185
7Simple English (simple)
Born's rule
164
8Spanish (es)
Regla de Born
134
9Italian (it)
Legge di Born
127
10Portuguese (pt)
Regra de Born
80
More...

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

The highest AI

Language versions of the article "Born rule" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Born rule
121
2German (de)
Bornsche Wahrscheinlichkeitsinterpretation
43
3Chinese (zh)
玻恩定則
12
4Japanese (ja)
ボルンの規則
11
5Dutch (nl)
Waarschijnlijkheidsinterpretatie van Born
10
6Italian (it)
Legge di Born
8
7Russian (ru)
Правило Борна
8
8Vietnamese (vi)
Định luật Born
7
9Portuguese (pt)
Regra de Born
4
10Simple English (simple)
Born's rule
4
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 "Born rule" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Born rule
2
2German (de)
Bornsche Wahrscheinlichkeitsinterpretation
1
3Dutch (nl)
Waarschijnlijkheidsinterpretatie van Born
1
4Russian (ru)
Правило Борна
1
5Arabic (ar)
قاعدة بورن
0
6Catalan (ca)
Norma de Born
0
7Spanish (es)
Regla de Born
0
8Persian (fa)
قاعده برن
0
9Italian (it)
Legge di Born
0
10Japanese (ja)
ボルンの規則
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 "Born rule" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Born rule
235
2Arabic (ar)
قاعدة بورن
160
3Persian (fa)
قاعده برن
81
4Italian (it)
Legge di Born
67
5German (de)
Bornsche Wahrscheinlichkeitsinterpretation
26
6Japanese (ja)
ボルンの規則
20
7Chinese (zh)
玻恩定則
15
8Russian (ru)
Правило Борна
13
9Catalan (ca)
Norma de Born
11
10Ukrainian (uk)
Правило Борна
11
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
arArabic
قاعدة بورن
caCatalan
Norma de Born
deGerman
Bornsche Wahrscheinlichkeitsinterpretation
enEnglish
Born rule
esSpanish
Regla de Born
faPersian
قاعده برن
itItalian
Legge di Born
jaJapanese
ボルンの規則
koKorean
보른 규칙
nlDutch
Waarschijnlijkheidsinterpretatie van Born
ptPortuguese
Regra de Born
roRomanian
Regula lui Born
ruRussian
Правило Борна
simpleSimple English
Born's rule
slSlovenian
Bornovo pravilo
ukUkrainian
Правило Борна
viVietnamese
Định luật Born
zhChinese
玻恩定則

Popularity rank trends

Best Rank English:
#96185
12.2017
Global:
#123358
12.2017

AI rank trends

Best Rank English:
#21270
05.2024
Global:
#82568
05.2024

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Born rule from Wikipedia articles about Copenhagen interpretation, Wave function, Quantum computing, Quantum mechanics and Quantum superposition. Whereas reading the article about Born rule people most often go to Wikipedia articles on Max Born, Bra–ket notation, Wave function, Eigenvectors and eigenvalues and Probability density function.

Cumulative results of quality and popularity of the Wikipedia article

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

simple: Born's rule

News from 28 January 2026

On 28 January 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 2025–26 UEFA Champions League, Nipah virus, Doomsday Clock, UEFA Champions League, Elena Rybakina, Donald Trump, 2026 European Men's Handball Championship, killing of Alex Pretti, Kristi Noem, deaths in 2026.

In English Wikipedia the most popular articles on that day were: Ajit Pawar, Border 2, Sharad Pawar, Killing of Alex Pretti, Ilhan Omar, Sunetra Pawar, Todd Monken, Kristi Noem, Wonder Man (miniseries), Gregory Bovino.

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