FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3127885986> ?p ?o ?g. }

• W3127885986 endingPage "025104" @default.
• W3127885986 startingPage "025104" @default.
• W3127885986 abstract "Abstract As a nonrelativistic particle constrained to remain on an ( N − 1)-dimensional (( N ≥ 2)) hypersurface embedded in an N -dimensional Euclidean space, two different components p i and p j ( i, j = 1, 2, 3,… N ) of the Cartesian momentum of the particle are not mutually commutative, and explicitly commutation relations <?CDATA $[{hat{p}}_{i},{hat{p}}_{j}]left(ne 0right)$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:mo stretchy=false>[</mml:mo> <mml:msub> <mml:mrow> <mml:mover accent=true> <mml:mrow> <mml:mi>p</mml:mi> </mml:mrow> <mml:mrow> <mml:mo>ˆ</mml:mo> </mml:mrow> </mml:mover> </mml:mrow> <mml:mrow> <mml:mi>i</mml:mi> </mml:mrow> </mml:msub> <mml:mo>,</mml:mo> <mml:msub> <mml:mrow> <mml:mover accent=true> <mml:mrow> <mml:mi>p</mml:mi> </mml:mrow> <mml:mrow> <mml:mo>ˆ</mml:mo> </mml:mrow> </mml:mover> </mml:mrow> <mml:mrow> <mml:mi>j</mml:mi> </mml:mrow> </mml:msub> <mml:mo stretchy=false>]</mml:mo> <mml:mfenced close=) open=(> <mml:mrow> <mml:mo>≠</mml:mo> <mml:mn>0</mml:mn> </mml:mrow> </mml:mfenced> </mml:math> depend on products of positions and momenta in uncontrollable ways. The generalized Dupin indicatrix of the hypersurface, a local analysis technique, is utilized to explore the dependence of the noncommutativity on the curvatures around a local point of the hypersurface. The first finding is that the noncommutativity can be grouped into two categories; one is the product of a sectional curvature and the angular momentum, and another is the product of a principal curvature and the momentum. The second finding is that, for a small circle lying a tangential plane covering the local point , the noncommutativity leads to a rotation operator and the amount of the rotation is an angle anholonomy; and along each of the normal sectional curves centering the given point the noncommutativity leads to a translation plus an additional rotation and the amount of the rotation is one half of the tangential angle change of the arc." @default.
• W3127885986 created "2021-02-15" @default.
• W3127885986 creator A5035219108 @default.
• W3127885986 creator A5063948512 @default.
• W3127885986 creator A5067253207 @default.
• W3127885986 date "2021-01-28" @default.
• W3127885986 modified "2023-09-24" @default.
• W3127885986 title "Curvature-induced noncommutativity of two different components of momentum for a particle on a hypersurface" @default.
• W3127885986 cites W1971345319 @default.
• W3127885986 cites W1973482569 @default.
• W3127885986 cites W1978652497 @default.
• W3127885986 cites W1987722829 @default.
• W3127885986 cites W2006566973 @default.
• W3127885986 cites W2008259110 @default.
• W3127885986 cites W2013970197 @default.
• W3127885986 cites W2033666934 @default.
• W3127885986 cites W2038820588 @default.
• W3127885986 cites W2077010910 @default.
• W3127885986 cites W2092748417 @default.
• W3127885986 cites W2283269707 @default.
• W3127885986 cites W2475329556 @default.
• W3127885986 cites W2743484696 @default.
• W3127885986 cites W2993329425 @default.
• W3127885986 cites W3100285331 @default.
• W3127885986 cites W3101325834 @default.
• W3127885986 cites W3102514811 @default.
• W3127885986 cites W3106343691 @default.
• W3127885986 cites W3125472719 @default.
• W3127885986 cites W52245698 @default.
• W3127885986 doi "https://doi.org/10.1088/1572-9494/abd847" @default.
• W3127885986 hasPublicationYear "2021" @default.
• W3127885986 type Work @default.
• W3127885986 sameAs 3127885986 @default.
• W3127885986 citedByCount "1" @default.
• W3127885986 countsByYear W31278859862022 @default.
• W3127885986 crossrefType "journal-article" @default.
• W3127885986 hasAuthorship W3127885986A5035219108 @default.
• W3127885986 hasAuthorship W3127885986A5063948512 @default.
• W3127885986 hasAuthorship W3127885986A5067253207 @default.
• W3127885986 hasBestOaLocation W31278859862 @default.
• W3127885986 hasConcept C11413529 @default.
• W3127885986 hasConcept C121332964 @default.
• W3127885986 hasConcept C41008148 @default.
• W3127885986 hasConceptScore W3127885986C11413529 @default.
• W3127885986 hasConceptScore W3127885986C121332964 @default.
• W3127885986 hasConceptScore W3127885986C41008148 @default.
• W3127885986 hasFunder F4320321001 @default.
• W3127885986 hasIssue "2" @default.
• W3127885986 hasLocation W31278859861 @default.
• W3127885986 hasLocation W31278859862 @default.
• W3127885986 hasOpenAccess W3127885986 @default.
• W3127885986 hasPrimaryLocation W31278859861 @default.
• W3127885986 hasRelatedWork W1536502753 @default.
• W3127885986 hasRelatedWork W2902782467 @default.
• W3127885986 hasRelatedWork W2935759653 @default.
• W3127885986 hasRelatedWork W3105167352 @default.
• W3127885986 hasRelatedWork W3148032049 @default.
• W3127885986 hasRelatedWork W54078636 @default.
• W3127885986 hasRelatedWork W1501425562 @default.
• W3127885986 hasRelatedWork W2298861036 @default.
• W3127885986 hasRelatedWork W2954470139 @default.
• W3127885986 hasRelatedWork W3084825885 @default.
• W3127885986 hasVolume "73" @default.
• W3127885986 isParatext "false" @default.
• W3127885986 isRetracted "false" @default.
• W3127885986 magId "3127885986" @default.
• W3127885986 workType "article" @default.