## 61 Citations

Quantum Trajectories: Dirac, Moyal and Bohm

- MathematicsQuanta
- 2019

We recall Dirac's early proposals to develop a description of quantum phenomena in terms of a non-commutative algebra in which he suggested a way to construct what he called quantum trajectories.…

Classical and quantum mechanics via Lie algebras

- Physics
- 2011

The goal of this book is to present classical mechanics, quantum mechanics, and statistical mechanics in an almost completely algebraic setting, thereby introducing mathematicians, physicists, and…

Jordan in The Church of The Higher Hilbert Space: Entanglement and Thermal Fluctuations

- PhysicsQuanta
- 2022

I revisit Jordan's derivation of Einstein's formula for energy fluctuations in the black body in thermal equilibrium. This formula is usually taken to represent the unification of the wave and the…

Hamiltonian point of view of quantum perturbation theory

- Physics
- 2021

We explore the relation of Van Vleck-Primas perturbation theory of quantum mechanics with the Lie-series based perturbation theory of Hamiltonian systems in classical mechanics. In contrast to…

Hilbert-Style Axiomatic Completion: The (Not So) Hidden Contextuality of von Neumann’s “No Hidden Variables” Theorem

- Philosophy
- 2021

Von Neumann’s (in)famous proof of the non-existence of hidden variables in quantum mechanics is commonly discussed in the context of work that came much later, namely that of Bohm and Bell. In this…

Russell’s 1927 The Analysis of Matter as the First Book on Quantum Gravity

- Physics, Philosophy
- 2021

The goal of this note is to bring into wider attention the often neglected important work by Bertrand Russell on the foundations of physics published in the late 1920s. In particular, we emphasize…

The Relational Interpretation

- Physics
- 2021

The relational interpretation (or RQM, for Relational Quantum Mechanics) solves the measurement problem by considering an ontology of sparse relative facts. Facts are realized in interactions between…

The Relational Interpretation of Quantum Physics

- Physics
- 2021

The relational interpretation (or RQM, for Relational Quantum Mechanics) solves the measurement problem by considering an ontology of sparse relative events, or facts. Events are realized in…

Non-asymptotic quantum metrology : extracting maximum information from limited data

- Computer Science
- 2020

The results provide a detailed characterisation of how the interplay between prior information, entanglement and a limited amount of data affects the performance of quantum metrology protocols, which has important implications for the analysis of theory and experiments in this field.