Editing Stone–von Neumann theorem (section)

{{Short description|Mathematical theorem}}
In [[mathematics]] and in [[theoretical physics]], the '''Stone–von Neumann theorem''' refers to any one of a number of different formulations of the [[uniqueness quantification|uniqueness]] of the [[canonical commutation relation]]s between [[position (vector)|position]] and [[momentum]] [[operator (physics)|operator]]s. It is named after [[Marshall Stone]] and [[John von Neumann]].<ref>{{Citation | last1=von Neumann | first1=J. | author1-link=John von Neumann | title=Die Eindeutigkeit der Schrödingerschen Operatoren | publisher=Springer Berlin / Heidelberg | doi=10.1007/BF01457956 | year=1931 | journal=[[Mathematische Annalen]] | issn=0025-5831 | volume=104 | pages=570–578| s2cid=120528257 }}</ref><ref>{{Citation | last1= von Neumann | first1=J. | author1-link=John von Neumann | title=Ueber Einen Satz Von Herrn M. H. Stone | jstor=1968535 | publisher=Annals of Mathematics | language=German | series=Second Series | year=1932 | journal=[[Annals of Mathematics]] | issn=0003-486X | volume=33 | issue=3 | pages=567–573 | doi= 10.2307/1968535}}</ref><ref>{{Citation | last1=Stone | first1=M. H. | authorlink=Marshall Harvey Stone | title=Linear Transformations in Hilbert Space. III. Operational Methods and Group Theory | jstor=85485 | publisher=National Academy of Sciences | year=1930 | journal=[[Proceedings of the National Academy of Sciences|Proceedings of the National Academy of Sciences of the United States of America]] | issn=0027-8424 | volume=16 | issue=2 | pages=172–175 | bibcode=1930PNAS...16..172S | doi=10.1073/pnas.16.2.172| pmc=1075964 | pmid=16587545| doi-access=free }}</ref><ref>{{citation|first=M. H. |last=Stone|authorlink=Marshall Harvey Stone|jstor=1968538|title= On one-parameter unitary groups in Hilbert Space|journal= Annals of Mathematics |volume=33|issue= 3|pages= 643–648|year=1932|doi=10.2307/1968538}}</ref>