Quantum Logic

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Title: Quantum Logic
Author: Gould, James
Advisor: Love, Peter
Department: Haverford College. Dept. of Physics
Type: Thesis (B.S.)
Issue Date: 2012
Abstract: In this paper, we investigate whether classical propositional calculus is adequate as a logic of quantum mechanics. The need for quantum logic was largely introduced by Garrett Birkhoff and John Von Neumann in their 1936 paper involving the use of lattices to characterize the differences between classical and quantum logic. We motivate the need for quantum logic with the failure of the distributive identity and construct Birkhoff and Von Neumann’s quantum logic of subspaces of Hilbert space in contrast to the classical logic of subsets of phase space. We then use lattices to compare the structure of classical logic and quantum logic and discuss the role of commutativity in the differences between these logical structures.
Subject: Quantum logic
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Gould, James. "Quantum Logic". 2012. Available electronically from

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