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

By J. Hamhalter

This booklet is the 1st systematic remedy of measures on projection lattices of von Neumann algebras. It provides major fresh leads to this box. One half is electrified 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 kind theorems,
decoherence practical, 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 don't have any direct analogy within the usual degree and chance concept. at the theoretical physics facet, they're instrumental in improving technical
assumptions of the axiomatics of quantum theories in basic terms by way of contemplating algebraic homes of finitely additive measures (states) on quantum propositions.

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