Randy and Jim discuss how difficult it is to measure quantities like velocity in quantum mechanics. In doing so they discuss von Neumann's five-requirement theory of quantum measurement and a mathematical treatment of the measuring process that involves a quantum mechanical treatment of the measuring device and the interaction between it and the system under measurement. In this episode, we talk about Aharonov and Rohrlich's Quantum Paradoxes, chapter 7: "Quantum Measurement."
We're reading Quantum Paradoxes by Yakir Aharonov and Daniel Rohrlich. This is a technical book that is making an argument for a specific interpretation of quantum theory. The first half of the book uses paradoxes to explore the meaning of quantum theory and describe its mathematics, then after interpretations are discussed in the middle chapter, an interpretation of quantum mechanics is explored with paradoxes based on weak quantum measurements.