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quant-ph2026
Consistent histories and the ultrametric on infinite tensor products
Andrew Lesniewski
The consistent histories formulation of quantum mechanics assigns classical probabilities to sequences of coarse-grained events when the corresponding interference terms vanish. In…
quant-ph2026
A complete ultrametric on von Neumann's incomplete tensor products
Andrew Lesniewski
We revisit von Neumann's theory of infinite tensor products of Hilbert spaces. On the set of equivalence classes of -sequences, which labels the incomplete tensor products…
quant-ph1998
Quantum Mechanics on a Torus
Ron Rubin, Andrew Lesniewski
We present here a canonical description for quantizing classical maps on a torus. We prove theorems analagous to classical theorems on mixing and ergodicity in terms of a quantum K…