Local Quantum Measurement and Relativity

ISBN-13: 9783030675356 / Angielski / Miękka / 2022

Christian Beck

Opis

This book treats various aspects of the quantum theory of measurement, partially in a relativistic framework. Measurement(-like) processes in quantum theory are identified and analysed; and the quantum operator formalism is derived in full generality without postulating operators as observables. Consistency conditions are derived, expressing the requirement of Lorentz-frame independence of outcomes of spacelike separated measurements and implying the impossibility of using quantum nonlocality to send signals faster than light. Local commutativity is scrutinized. The localization problem of relativistic quantum theory is studied, including comprehensive derivation of the theorems of Hegerfeld, Malament and Reeh-Schlieder. Finally, the quantum formalism is derived from the dynamics of particles with definite positions in Bohmian mechanics.

Spis treści

Introduction and Outline.- Quantum Measurement.- Local Quantum Measurement I.- Local Quantum Measurement II.- An Active Notion of Localization.- Appendix.

O autorze

Christian Beck studied physics at the University of Munich, where he was awarded his PhD in mathematics in 2020.