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Mueller semigroups of the rank 1 and 2. (Russian. English summary) Zbl 1261.81082

Summary: Several simple sets of degenerated Mueller matrices of the rank 1 and 2 having the structure of semigroups are constructed explicitly with the use of a linear expansion of real \(4 \times 4\)-matrices in terms of Dirac matrices. The properties important in polarization optics are considered.

MSC:

81S25 Quantum stochastic calculus
81V80 Quantum optics
15A66 Clifford algebras, spinors
16S36 Ordinary and skew polynomial rings and semigroup rings
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