Whereas the two-valuedness of the SU(2) representation does not affect the transformation of the A vector based on the bilateral expression ???, the situation will be seen to be di...Whereas the two-valuedness of the SU(2) representation does not affect the transformation of the A vector based on the bilateral expression ???, the situation will be seen to be different in the spinorial theory based on Equation ???, since under certain conditions the sign of the spinor |ξ⟩ is physically meaningful.
It is an obvious idea to enrich the Pauli algebra formalism by introducing the complex vector space V(2, C) on which the matrices operate. The two-component complex vectors are traditionally called sp...It is an obvious idea to enrich the Pauli algebra formalism by introducing the complex vector space V(2, C) on which the matrices operate. The two-component complex vectors are traditionally called spinors. We wish to show that they give rise to a wide range of applications. In fact we shall introduce the spinor concept as a natural answer to a problem that arises in the context of rotational motion.
