About: Pauli–Lubanski pseudovector

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In physics, the Pauli–Lubanski pseudovector is an operator defined from the momentum and angular momentum, used in the quantum-relativistic description of angular momentum. It is named after Wolfgang Pauli and Józef Lubański, It describes the spin states of moving particles. It is the generator of the little group of the Poincaré group, that is the maximal subgroup (with four generators) leaving the eigenvalues of the four-momentum vector Pμ invariant.

Attributes	Values
rdf:type	company
rdfs:label	Pauli-Lubanski-Pseudovektor (de) 파울리-루반스키 벡터 (ko) Pauli–Lubanski pseudovector (en)
rdfs:comment	In physics, the Pauli–Lubanski pseudovector is an operator defined from the momentum and angular momentum, used in the quantum-relativistic description of angular momentum. It is named after Wolfgang Pauli and Józef Lubański, It describes the spin states of moving particles. It is the generator of the little group of the Poincaré group, that is the maximal subgroup (with four generators) leaving the eigenvalues of the four-momentum vector Pμ invariant. (en) 파울리-루반스키 벡터(프랑스어: vecteur de Pauli-Lubański)는 운동량 4차원 벡터와 각운동량 4차원 텐서의 "4차원 벡터곱"인 유사벡터다. 대개 로 나타낸다. 그 제곱 은 각운동량의 노름으로서, 질량 과 함께 푸앵카레 군의 두 카시미르 불변량을 이룬다. 폴란드의 유제프 루반스키 (폴란드어: Józef Kazimierz Lubański)가 1942년에 도입하였다. (ko) Der Pauli-Lubanski-Pseudovektor ist nach Wolfgang Pauli und benannt. Er tritt in der speziellen Relativitätstheorie und der zugehörigen Quantentheorie auf. Sein Quadrat ist bei massiven Teilchen das (negative) Quadrat ihres Spinsmal dem Quadrat ihrer Masse. Bei masselosen Teilchen ist er dem Viererimpuls mit einem Faktor proportional,der die Helizität des Teilchens ist. Der Pauli-Lubanski-Pseudovektor ist definiert als wobei * das Levi-Civita-Symbol, * den Impulsoperator und * den Drehimpulstensor bezeichnen. Die Komponenten des Pauli-Lubanski-Pseudovektors können auch als (de)
dcterms:subject	Quantum field theory Representation theory of Lie algebras
Wikipage page ID	26826914 (xsd:integer)
Wikipage revision ID	1114324440 (xsd:integer)
Link from a Wikipage to another Wikipage	Cambridge University Press 4-momentum operator Quantum field theory Annals of Mathematics Antisymmetric tensor Relativistic angular momentum Relativistic quantum mechanics Pseudotensor Pseudovector Wigner's classification Quantum field theory Commutator Operator (physics) Energy–momentum relation Momentum space The Road to Reality Hodge dual Angular momentum Angular momentum operator Levi-Civita symbol Physics Massless particle Casimir invariant Helicity (particle physics) Józef Lubański Rest frame Spin quantum number Exterior algebra Four-momentum Frame of reference Center of mass (relativistic) Isospin Representation theory of Lie algebras Chirality (physics) Higgs mechanism Representation theory of the Poincaré group Boson Photon Spin (physics) Group contraction Induced representation Neutrino Neutrino oscillation Wolfgang Pauli Four-dimensional Poincaré group Multivector Little group Electroweak force Casimir operator Eigenvalues Relativistic angular momentum tensor Rest mass Springer Verlag Lorentz invariant World Scientific Publishing Weak nuclear force
Link from a Wikipage to an external page	https://books.google.com/books%3Fid=7VLMj4AvvicC&q=pauli-lubanski+pseudovector&pg=PA273 https://books.google.com/books%3Fid=hRavtAW5EFcC&q=pauli-lubanski+pseudovector&pg=PA11 https://books.google.com/books%3Fid=nnuW_kVJ500C&q=pauli-lubanski+pseudovector&pg=PA62 https://archive.org/details/quantumtheoryoff00stev
sameAs	Pauli–Lubanski pseudovector Pauli–Lubanski pseudovector Pauli–Lubanski pseudovector Pauli–Lubanski pseudovector Pauli–Lubanski pseudovector
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has abstract	Der Pauli-Lubanski-Pseudovektor ist nach Wolfgang Pauli und benannt. Er tritt in der speziellen Relativitätstheorie und der zugehörigen Quantentheorie auf. Sein Quadrat ist bei massiven Teilchen das (negative) Quadrat ihres Spinsmal dem Quadrat ihrer Masse. Bei masselosen Teilchen ist er dem Viererimpuls mit einem Faktor proportional,der die Helizität des Teilchens ist. Der Pauli-Lubanski-Pseudovektor ist definiert als wobei * das Levi-Civita-Symbol, * den Impulsoperator und * den Drehimpulstensor bezeichnen. Die Komponenten des Pauli-Lubanski-Pseudovektors können auch als geschrieben werden, wobei der Drehimpulsoperator und ist. (de) In physics, the Pauli–Lubanski pseudovector is an operator defined from the momentum and angular momentum, used in the quantum-relativistic description of angular momentum. It is named after Wolfgang Pauli and Józef Lubański, It describes the spin states of moving particles. It is the generator of the little group of the Poincaré group, that is the maximal subgroup (with four generators) leaving the eigenvalues of the four-momentum vector Pμ invariant. (en) 파울리-루반스키 벡터(프랑스어: vecteur de Pauli-Lubański)는 운동량 4차원 벡터와 각운동량 4차원 텐서의 "4차원 벡터곱"인 유사벡터다. 대개 로 나타낸다. 그 제곱 은 각운동량의 노름으로서, 질량 과 함께 푸앵카레 군의 두 카시미르 불변량을 이룬다. 폴란드의 유제프 루반스키 (폴란드어: Józef Kazimierz Lubański)가 1942년에 도입하였다. (ko)
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gold:hypernym	Operator
prov:wasDerivedFrom	wikipedia-en:Pauli–Lubanski_pseudovector?oldid=1114324440&ns=0

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