spin space

spin space

[′spin ‚spās]
(mathematics)
The two-dimensional vector space over the complex numbers, whose unitary unimodular transformations are a two-dimensional double-valued representation of the three-dimensional rotation group; its vectors can represent the various spin states of a particle with spin ½, and its unitary unimodular transformations can represent rotations of this particle.
References in periodicals archive ?
Exploiting this equivalence there is in principle no difference between manipulations in the spin space of neutrons with the orthogonal basis {|[up arrow]>, |[down arrow]>} as eigenstates of [[sigma].

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