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...same decomposition holds for the compact form as well: the product of two spinors in [[SU(2)|su(2)]] being a vector in the [[rotation group]] [[O(3)]] and a ...

[[Category:Spinors]] ...

...nor]]s and so quantum states may transform not only as tensors but also as spinors. ...

...plicated [[mathematical objects]] with exotic algebraic properties (e.g. [[spinors]] are not [[tensors]], so may need calculus for [[spinor field]]s), but the ...degrees around a specific axis, the vector field turns to itself; however, spinors would turn to their negatives in the same case. ...

...nd as [[spinor]]s and [[bispinor]]s for other particles such as electrons. Spinors and bispinors behave similarly to [[Euclidean vector|vectors]]: they have d ...known as [[spinor]]s. There are subtle differences between the behavior of spinors and vectors under [[coordinate rotation]]s. For example, rotating a spin-{{ ...

...mponent spinor field, which is conventionally split into two two-component spinors in the form:<ref group=lower-alpha>Again this notation is not necessarily s ...''. See [[Dirac spinor]] and [[bispinor]] for further description of these spinors. In the non-relativistic limit the Dirac equation reduces to the Pauli equa ...