Wave function

en

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Wave function

Quality:

Wave function - mathematical description of the quantum state of a system; complex-valued probability amplitude, and the probabilities for the possible results of measurements made on the system can be derived from it. Article “Wave function” in English Wikipedia has 71.1 points for quality (as of July 1, 2026). The article contains 79 references and 32 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 7.9 points.

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

In June 2026 the article “Wave function” was edited by 4 authors in English Wikipedia and written by 13 authors in all languages.

Since the creation of article “Wave function”, its content was written by 367 registered users of English Wikipedia and edited by 1416 registered Wikipedia users in all languages.

The article is cited 819 times in English Wikipedia and cited 6428 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #6498 in December 2011
  • Global: #1588 in February 2003

The highest popularity rank from 2008:

  • Local (English): #18015 in January 2015
  • Global: #14538 in October 2016

There are 49 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, 2026 (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)
Wave function
71.099
2Portuguese (pt)
Função de onda
68.1261
3Chinese (zh)
波函数
63.1668
4Catalan (ca)
Funció d'ona
50.8444
5Turkish (tr)
Dalga fonksiyonu
43.9088
6Russian (ru)
Волновая функция
41.9622
7Basque (eu)
Uhin-funtzio
40.8149
8Croatian (hr)
Valna funkcija
40.5765
9Indonesian (id)
Fungsi gelombang
40.3513
10Serbo-Croatian (sh)
Valna funkcija
34.2214
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 "Wave function" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Wave function
5 744 649
2Russian (ru)
Волновая функция
1 158 240
3Spanish (es)
Función de onda
985 511
4German (de)
Wellenfunktion
855 909
5Japanese (ja)
波動関数
791 147
6French (fr)
Fonction d'onde
583 141
7Chinese (zh)
波函数
509 147
8Italian (it)
Funzione d'onda
505 442
9Polish (pl)
Funkcja falowa
330 790
10Portuguese (pt)
Função de onda
261 755
More...

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

Most popular in June 2026

The most popular language versions of the article "Wave function" in June 2026
#LanguagePopularity awardRelative popularity
1English (en)
Wave function
12 484
2Russian (ru)
Волновая функция
2 000
3Japanese (ja)
波動関数
1 592
4German (de)
Wellenfunktion
1 459
5French (fr)
Fonction d'onde
1 435
6Chinese (zh)
波函数
1 171
7Spanish (es)
Función de onda
842
8Polish (pl)
Funkcja falowa
772
9Italian (it)
Funzione d'onda
767
10Portuguese (pt)
Função de onda
543
More...

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

The highest AI

Language versions of the article "Wave function" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Wave function
367
2German (de)
Wellenfunktion
146
3Italian (it)
Funzione d'onda
84
4French (fr)
Fonction d'onde
73
5Russian (ru)
Волновая функция
73
6Dutch (nl)
Golffunctie
51
7Hebrew (he)
פונקציית גל
50
8Japanese (ja)
波動関数
43
9Chinese (zh)
波函数
42
10Polish (pl)
Funkcja falowa
39
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 2026

Language versions of the article "Wave function" with the highest AI in June 2026
#LanguageAI awardRelative AI
1English (en)
Wave function
4
2Catalan (ca)
Funció d'ona
1
3Esperanto (eo)
Ondfunkcio
1
4Spanish (es)
Función de onda
1
5Indonesian (id)
Fungsi gelombang
1
6Korean (ko)
파동 함수
1
7Polish (pl)
Funkcja falowa
1
8Serbian (sr)
Talasna funkcija
1
9Uzbek (uz)
Toʻlqin funksiyasi
1
10Chinese (zh)
波函数
1
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 "Wave function" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Wave function
819
2French (fr)
Fonction d'onde
343
3Chinese (zh)
波函数
342
4Japanese (ja)
波動関数
315
5Russian (ru)
Волновая функция
294
6Spanish (es)
Función de onda
273
7Korean (ko)
파동 함수
270
8German (de)
Wellenfunktion
258
9Portuguese (pt)
Função de onda
258
10Italian (it)
Funzione d'onda
252
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2026:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2026:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
دالة موجية
beBelarusian
Хвалевая функцыя
bgBulgarian
Вълнова функция
caCatalan
Funció d'ona
csCzech
Vlnová funkce
daDanish
Bølgefunktion
deGerman
Wellenfunktion
elGreek
Κυματοσυνάρτηση
enEnglish
Wave function
eoEsperanto
Ondfunkcio
esSpanish
Función de onda
etEstonian
Lainefunktsioon
euBasque
Uhin-funtzio
faPersian
تابع موج
fiFinnish
Aaltofunktio
frFrench
Fonction d'onde
glGalician
Función de onda
heHebrew
פונקציית גל
hiHindi
तरंग फलन
hrCroatian
Valna funkcija
huHungarian
Hullámfüggvény
hyArmenian
Ալիքային ֆունկցիա
idIndonesian
Fungsi gelombang
itItalian
Funzione d'onda
jaJapanese
波動関数
kaGeorgian
ტალღური ფუნქცია
kkKazakh
Толқындық функция
koKorean
파동 함수
ltLithuanian
Banginė funkcija
nlDutch
Golffunctie
nnNorwegian (Nynorsk)
Bølgjefunksjon
noNorwegian
Bølgefunksjon
plPolish
Funkcja falowa
ptPortuguese
Função de onda
roRomanian
Funcție de undă
ruRussian
Волновая функция
shSerbo-Croatian
Valna funkcija
simpleSimple English
Wave function
skSlovak
Vlnová funkcia
slSlovenian
Valovna funkcija
srSerbian
Talasna funkcija
svSwedish
Vågfunktion
taTamil
அலை இயக்கம்
thThai
ฟังก์ชันคลื่น
trTurkish
Dalga fonksiyonu
ukUkrainian
Хвильова функція
uzUzbek
Toʻlqin funksiyasi
viVietnamese
Hàm sóng
zhChinese
波函数

Popularity rank trends

Best Rank English:
#18015
01.2015
Global:
#14538
10.2016

AI rank trends

Best Rank English:
#6498
12.2011
Global:
#1588
02.2003

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections (July 2025 – June 2026)

Wikipedia readers most often find their way to information on Wave function from Wikipedia articles about Schrödinger equation, Quantum mechanics, Schrödingers cat, Wave function collapse and Ψ. Whereas reading the article about Wave function people most often go to Wikipedia articles on Schrödinger equation, Quantum state, Hilbert space, Quantum mechanics and Born rule.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 1 July 2026

On 1 July 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 2026 FIFA World Cup, Kylian Mbappé, Erling Haaland, Democratic Republic of the Congo, FIFA World Cup, Harry Kane, Romelu Lukaku, Senegal, Michael Olise, Sadio Mané.

In English Wikipedia the most popular articles on that day were: 2026 FIFA World Cup, Harry Kane, Julián Quiñones, List of FIFA World Cup top goalscorers, Kylian Mbappé, Democratic Republic of the Congo, Erling Haaland, DR Congo national football team, Melat Kiros, FIFA World Cup.

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 50 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2026. When calculating current popularity and AI of articles data from June 2026 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2026... More information