Quantum harmonic oscillator

Quantum harmonic oscillator - quantum mechanical model of a particle in a harmonic potential well. Article "Quantum harmonic oscillator" in English Wikipedia has 61.5 points for quality (as of July 1, 2025). The article contains 20 references and 17 sections. The article also contains quality flaw template, which reduce quality score.

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

Since the creation of article "Quantum harmonic oscillator", its content was written by 265 registered users of English Wikipedia and edited by 904 registered Wikipedia users in all languages.

The article is cited 186 times in English Wikipedia and cited 1057 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #5889 in May 2002
• Global: #6538 in May 2012

The highest popularity rank from 2008:

• Local (English): #31818 in November 2014
• Global: #39321 in November 2014

There are 33 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.

#	Language	Quality grade	Quality score
1	English (en) Quantum harmonic oscillator		61.5114
2	German (de) Harmonischer Oszillator (Quantenmechanik)		38.1949
3	Chinese (zh) 量子諧振子		36.6726
4	Polish (pl) Kwantowy oscylator harmoniczny		35.9038
5	French (fr) Oscillateur harmonique quantique		35.3194
6	Greek (el) Αρμονικός ταλαντωτής (κβαντική μηχανική)		33.5982
7	Turkish (tr) Kuantum harmonik salınıcı		31.9559
8	Romanian (ro) Oscilatorul armonic liniar (cuantic)		31.3918
9	Norwegian (no) Kvantisert harmonisk oscillator		28.136
10	Hindi (hi) क्वांटम सरल आवर्ती दोलक		26.3973

More...

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

The most popular language versions of the article "Quantum harmonic oscillator" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Quantum harmonic oscillator		3 902 084
2	German (de) Harmonischer Oszillator (Quantenmechanik)		799 919
3	Russian (ru) Квантовый гармонический осциллятор		283 421
4	French (fr) Oscillateur harmonique quantique		282 656
5	Spanish (es) Oscilador armónico cuántico		239 380
6	Italian (it) Oscillatore armonico quantistico		230 131
7	Chinese (zh) 量子諧振子		147 627
8	Polish (pl) Kwantowy oscylator harmoniczny		136 466
9	Vietnamese (vi) Dao động tử điều hòa		78 846
10	Hebrew (he) מתנד הרמוני קוונטי		70 401

More...

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

The most popular language versions of the article "Quantum harmonic oscillator" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Quantum harmonic oscillator		15 586
2	German (de) Harmonischer Oszillator (Quantenmechanik)		2 415
3	Russian (ru) Квантовый гармонический осциллятор		974
4	Italian (it) Oscillatore armonico quantistico		821
5	French (fr) Oscillateur harmonique quantique		707
6	Spanish (es) Oscilador armónico cuántico		699
7	Chinese (zh) 量子諧振子		576
8	Polish (pl) Kwantowy oscylator harmoniczny		357
9	Hebrew (he) מתנד הרמוני קוונטי		238
10	Portuguese (pt) Oscilador harmônico quântico		219

More...

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

Language versions of the article "Quantum harmonic oscillator" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Quantum harmonic oscillator		265
2	German (de) Harmonischer Oszillator (Quantenmechanik)		102
3	French (fr) Oscillateur harmonique quantique		89
4	Italian (it) Oscillatore armonico quantistico		52
5	Vietnamese (vi) Dao động tử điều hòa		48
6	Hebrew (he) מתנד הרמוני קוונטי		43
7	Polish (pl) Kwantowy oscylator harmoniczny		37
8	Russian (ru) Квантовый гармонический осциллятор		35
9	Galician (gl) Oscilador harmónico cuántico		30
10	Chinese (zh) 量子諧振子		25

More...

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

Language versions of the article "Quantum harmonic oscillator" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	Romanian (ro) Oscilatorul armonic liniar (cuantic)		1
2	Arabic (ar) هزاز توافقي (ميكانيكا الكم)		0
3	Belarusian (be) Квантавы гарманічны асцылятар		0
4	Catalan (ca) Oscil·lador harmònic quàntic		0
5	Czech (cs) Kvantový harmonický oscilátor		0
6	German (de) Harmonischer Oszillator (Quantenmechanik)		0
7	Greek (el) Αρμονικός ταλαντωτής (κβαντική μηχανική)		0
8	English (en) Quantum harmonic oscillator		0
9	Spanish (es) Oscilador armónico cuántico		0
10	Basque (eu) Oszilatzaile armoniko kuantiko		0

More...

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

Language versions of the article "Quantum harmonic oscillator" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Quantum harmonic oscillator		186
2	Hungarian (hu) Harmonikus oszcillátor		124
3	Polish (pl) Kwantowy oscylator harmoniczny		112
4	Russian (ru) Квантовый гармонический осциллятор		64
5	French (fr) Oscillateur harmonique quantique		57
6	Chinese (zh) 量子諧振子		51
7	Spanish (es) Oscilador armónico cuántico		48
8	Italian (it) Oscillatore armonico quantistico		42
9	German (de) Harmonischer Oszillator (Quantenmechanik)		41
10	Romanian (ro) Oscilatorul armonic liniar (cuantic)		39

More...

#	Language	Value
ar	Arabic هزاز توافقي (ميكانيكا الكم)
be	Belarusian Квантавы гарманічны асцылятар
ca	Catalan Oscil·lador harmònic quàntic
cs	Czech Kvantový harmonický oscilátor
de	German Harmonischer Oszillator (Quantenmechanik)
el	Greek Αρμονικός ταλαντωτής (κβαντική μηχανική)
en	English Quantum harmonic oscillator
es	Spanish Oscilador armónico cuántico
eu	Basque Oszilatzaile armoniko kuantiko
fa	Persian نوسانگر هماهنگ کوانتمی
fi	Finnish Kvanttimekaaninen harmoninen värähtelijä
fr	French Oscillateur harmonique quantique
gl	Galician Oscilador harmónico cuántico
he	Hebrew מתנד הרמוני קוונטי
hi	Hindi क्वांटम सरल आवर्ती दोलक
hu	Hungarian Harmonikus oszcillátor
hy	Armenian Քվանտային ներդաշնակ օսցիլյատոր
id	Indonesian Osilator harmonis kuantum
it	Italian Oscillatore armonico quantistico
ka	Georgian კვანტური ჰარმონიული ოსცილატორი
ko	Korean 양자 조화 진동자
no	Norwegian Kvantisert harmonisk oscillator
pl	Polish Kwantowy oscylator harmoniczny
pt	Portuguese Oscilador harmônico quântico
ro	Romanian Oscilatorul armonic liniar (cuantic)
ru	Russian Квантовый гармонический осциллятор
sl	Slovenian Kvantni harmonični oscilator
sr	Serbian Квантно механички осцилатор
sv	Swedish Kvantharmonisk oscillator
tr	Turkish Kuantum harmonik salınıcı
uk	Ukrainian Квантовий осцилятор
vi	Vietnamese Dao động tử điều hòa
zh	Chinese 量子諧振子

Best Rank

English: #31818 11.2014

Global: #39321 11.2014

Best Rank

English: #5889 05.2002

Global: #6538 05.2012

On 9 July 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: João Pedro Junqueira de Jesus, Belinda Bencic, 2025 FIFA Club World Cup, Flavio Cobolli, Ozzy Osbourne, Superman, Mirra Andreeva, Diogo Jota, Novak Djokovic, Christian Horner.

In English Wikipedia the most popular articles on that day were: Superman (2025 film), João Pedro (footballer, born 2001), Jurassic World Rebirth, Belinda Bencic, Christian Horner, Jannik Sinner, Jeffrey Epstein, Ozzy Osbourne, Deaths in 2025, Novak Djokovic.

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