Quantum Measure Theory (Fundamental Theories of Physics) by J. Hamhalter

By J. Hamhalter

This publication is the 1st systematic therapy of measures on projection lattices of von Neumann algebras. It provides major fresh ends up in this box. One half is galvanized through the Generalized Gleason Theorem on
extending measures at the projection lattices of von Neumann algebras to linear functionals. functions of this precept to numerous difficulties in quantum physics are thought of (hidden variable challenge, Wigner variety theorems,
decoherence sensible, etc.). one other a part of the monograph bargains with a desirable interaction of algebraic homes of the projection lattice with the continuity of measures (the research of Jauch-Piron states,
independence stipulations in quantum box conception, etc.). those effects haven't any direct analogy within the ordinary degree and chance conception. at the theoretical physics aspect, they're instrumental in convalescing technical
assumptions of the axiomatics of quantum theories in simple terms through contemplating algebraic homes of finitely additive measures (states) on quantum propositions.

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