Spin-mass content of the Bhabha particle and the group chain SU(4)⊃Sp(4)⊃SU(2)×U(1)

DOI10.1063/1.532931zbMath0969.81025OpenAlexW2026335277MaRDI QIDQ4270388

Anju Sharma, Yuri F. Smirnov

Publication date: 21 November 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.532931

zbMATH Keywords

mass spectrumirreducible representationsboson realization formelementary permissible diagramsspin spectrumspin-mass content

Mathematics Subject Classification ID

Other elementary particle theory in quantum theory (81V25) Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20)

Cites Work

• Everything you always wanted to know about \(SU(3)\subset 0(3)\)
• Supermultiplets and relativistic problems: II. The Bhabha equation of arbitrary spin and its properties
• Bhabha relativistic wave equations
• Supermultiplets and relativistic problems: III. The non-relativistic limit for a particle of arbitrary spin in an external field
• Supermultiplets and relativistic problems: I. The free particle with arbitrary spin in a magnetic field
• Character states and generator matrix elements for Sp(4)⊃SU(2)×U(1)
• The Boson Calculus for the Orthogonal and Symplectic Groups
• Boson realization of the unitary symplectic group

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