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The two-dimensional irreducible representation of SU(2)≅Spin(3), corresponding to a projective representation of SO(3) and spin projections ±ℏ/2 along a chosen axis.
This is an authored directed relation from the source endpoint to the target endpoint.
Relation ID
spinor_to_spinhalf
Relation type
Mathematical formulation mathematical-formulation
Direction
source → target
Endpoint roles
source: Mathematically formulates; target: Mathematically formulated using
Authored annotation
spinor representation
Authored explanation
Spin-1/2 states transform in spinor representations.
How to interpret this relation type
A mathematical concept supplies part of the formal language, state space, representation, or analytic machinery used by a scientific or mathematical-physics concept. The source is the mathematical predecessor; this does not claim that physical content follows from mathematics alone.
Relation sources
Wikipedia — Spin-1/2 — Spin-1/2 · encyclopedic reference · source ID wp-physics-spin_half
