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The Heisenberg uncertainty principle as an endogenous equilibrium property of stochastic optimal control systems in quantum mechanics

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dc.contributor Aalto-yliopisto fi
dc.contributor Aalto University en
dc.contributor.author Lindgren, Jussi
dc.contributor.author Liukkonen, Jukka
dc.date.accessioned 2020-11-30T08:15:35Z
dc.date.available 2020-11-30T08:15:35Z
dc.date.issued 2020-09
dc.identifier.citation Lindgren , J & Liukkonen , J 2020 , ' The Heisenberg uncertainty principle as an endogenous equilibrium property of stochastic optimal control systems in quantum mechanics ' , SYMMETRY , vol. 12 , no. 9 , 1533 . https://doi.org/10.3390/SYM12091533 en
dc.identifier.issn 2073-8994
dc.identifier.other PURE UUID: 6c653e39-c8b8-493f-8335-1522c6c4d2f7
dc.identifier.other PURE ITEMURL: https://research.aalto.fi/en/publications/6c653e39-c8b8-493f-8335-1522c6c4d2f7
dc.identifier.other PURE LINK: http://www.scopus.com/inward/record.url?scp=85091875872&partnerID=8YFLogxK
dc.identifier.other PURE FILEURL: https://research.aalto.fi/files/53400787/Lindgren_The_Heisenberg_Uncertainty.symmetry_12_01533_1.pdf
dc.identifier.uri https://aaltodoc.aalto.fi/handle/123456789/61727
dc.description.abstract We provide a natural derivation and interpretation for the uncertainty principle in quantum mechanics from the stochastic optimal control approach. We show that, in particular, the stochastic approach to quantum mechanics allows one to understand the uncertainty principle through the "thermodynamic equilibrium". A stochastic process with a gradient structure is key in terms of understanding the uncertainty principle and such a framework comes naturally from the stochastic optimal control approach to quantum mechanics. The symmetry of the system is manifested in certain non-vanishing and invariant covariances between the four-position and the four-momentum. In terms of interpretation, the results allow one to understand the uncertainty principle through the lens of scientific realism, in accordance with empirical evidence, contesting the original interpretation given by Heisenberg. en
dc.format.extent 8
dc.format.mimetype application/pdf
dc.language.iso en en
dc.publisher Multidisciplinary Digital Publishing Institute (MDPI)
dc.relation.ispartofseries SYMMETRY en
dc.relation.ispartofseries Volume 12, issue 9 en
dc.rights openAccess en
dc.title The Heisenberg uncertainty principle as an endogenous equilibrium property of stochastic optimal control systems in quantum mechanics en
dc.type A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä fi
dc.description.version Peer reviewed en
dc.contributor.department Department of Mathematics and Systems Analysis
dc.contributor.department Radiation and Nuclear Safety Authority
dc.subject.keyword Stochastic mechanics
dc.subject.keyword Stochastic optimal control
dc.subject.keyword Thermodynamic equilibrium
dc.subject.keyword Uncertainty principle
dc.identifier.urn URN:NBN:fi:aalto-2020113020572
dc.identifier.doi 10.3390/SYM12091533
dc.type.version publishedVersion


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