Born rule and Schroedinger equation from first principles
Open Access
- 17 September 2019
- journal article
- research article
- Published by IOP Publishing in Journal of Physics: Conference Series
- Vol. 1275 (1), 012049
- https://doi.org/10.1088/1742-6596/1275/1/012049
Abstract
A concise review of the derivation of the Born rule and Schroedinger equation from first principles is provided. The starting point is a formalization of fundamental notions of measurement and composition, leading to a general framework for physical theories known as the positive formalism. Consecutively adding notions of spacetime, locality, absolute time and causality recovers the well established convex operational framework for classical and quantum theory. Requiring the partially ordered vector space of states to be an anti-lattice one obtains quantum theory in its standard formulation. This includes Born rule and Schroedinger equation.This publication has 1 reference indexed in Scilit:
- An operational approach to quantum probabilityCommunications in Mathematical Physics, 1970