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Spin ½
[編輯]Your should use the Bloch sphere (i.e. Riemann sphere a.k.a. CP1) to illustrate the geometry of spin ½, not the state vector projection as in this illustrations. The thing which you represent as a 45° turn, the transform:
corresponds to physical rotation to 90° in the case of spin ½. Indeed, this illustration has correct geometrical connotation for massless spin 1, such as photons. Incnis Mrsi (talk) 10:59, 19 February 2011 (UTC)