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Rarita-Schwinger equation

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Rarita-Schwinger equation [′rä·rē·tä ′shviŋ·ər i‚kwā·shən]
(quantum mechanics)
A partial differential equation, similar in form to the Dirac equation, relating the spatial and time dependence of a 16-component wave function describing a free relativistic particle with intrinsic spin ³⁄₂, and its antiparticle.


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Dirac's master wave equation can be factorized--essentially by taking the square-root of the d'Alembertian operator applied to a Majorana 2-spinor wavefunction--to obtain not only Dirac's famous electron equation (in the common 4-spinor formalism), but also the equations for more exotic spinning particles (including the Proca equation, the Duffin-Kemmer equation for spins 0 and 1, and the Rarita-Schwinger equations for spin 3/2).
 
 
 
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