Uncertainty from Heisenberg to Today
arXiv:1904.06139 · doi:10.1007/s10701-019-00265-z
Abstract
We explore the different meanings of "quantum uncertainty" contained in Heisenberg's seminal paper from 1927, and also some of the precise definitions that were explored later. We recount the controversy about "Anschaulichkeit", visualizability of the theory, which Heisenberg claims to resolve. Moreover, we consider Heisenberg's programme of operational analysis of concepts, in which he sees himself as following Einstein. Heisenberg's work is marked by the tensions between semiclassical arguments and the emerging modern quantum theory, between intuition and rigour, and between shaky arguments and overarching claims. Nevertheless, the main message can be taken into the new quantum theory, and can be brought into the form of general theorems. They come in two kinds, not distinguished by Heisenberg. These are, on one hand, constraints on preparations, like the usual textbook uncertainty relation, and, on the other, constraints on joint measurability, including trade-offs between accuracy and disturbance.
36 pages, 1 figure
References in corpus (1)
Cited by in corpus (5)
- Complementary observables in quantum mechanics
- Constraints on General Relativity Geodesics by a Covariant Geometric Uncertainty Principle
- Physics is organized around transformations connecting contextures in a polycontextural world
- Covariant Space Time Line Elements in the Friedmann Lemaitre Robertson Walker Geometry
- Quantum Mechanics: Statistical Balance Prompts Caution in Assessing Conceptual Implications