39 citations · 107 across the 9 of their papers we have counts for
9 papers
On the interplay between Noether's theorem and the theory of adiabatic invariants
Thierry Gourieux, Raphaël Leone
This article focuses on an important quantity that will be called the Rund-Trautman function. It already plays a central role in Noether's theorem since its vanishing characterizes…
On the parallel transport in quantum mechanics with an application to three-state systems
Raphaël Leone
The aim of this article is to give a rigorous although simple treatment of the geometric notions around parallel transport in quantum mechanics. I start by defining the teleparalle…
On the wonderfulness of Noether's theorems, 100 years later, and Routh reduction
Raphaël Leone
This paper is written in honour of the centenary of Emmy Amalie Noether's famous article entitled Invariante Variationsprobleme. It firstly aims to give an exposition of what we be…
Classical Noether's theory with application to the linearly damped particle
Raphaël Leone, Thierry Gourieux
This paper provides a modern presentation of Noether's theory in the realm of classical dynamics, with application to the problem of a particle submitted to both a potential and a…
Merging diabolical points of a superconducting circuit
Amélie Monjou, Raphaël Leone
We present the first theoretical study of the merging of diabolical points in the context of superconducting circuits. We begin by studying an analytically solvable four-level mode…
The Geometry of (non) abelian adiabatic pumping
R. Leone
We give a gauge description of the adiabatic charge pumping in closed systems, both in Abelian and non-Abelian processes, and by means of asymptotic Wilson loops in a suitable para…