31 citations · 206 across the 26 of their papers we have counts for
27 papers
Identity and difference: how topology helps to understand quantum indiscernability
Amaury Mouchet
This contribution, to be published in Imagine Math 8 to celebrate Michele Emmer's 75th birthday, can be seen as the second part of my previous considerations on the relationships b…
Path integrals in a multiply-connected configuration space (50 years after)
Amaury Mouchet
The proposal made 50 years ago by Schulman (1968), Laidlaw & Morette-DeWitt (1971) and Dowker (1972) to decompose the propagator according to the homotopy classes of paths was a ma…
Riemann surfaces of complex classical trajectories and tunnelling splitting in one-dimensional systems
Hiromitsu Harada, Amaury Mouchet, Akira Shudo
The topology of complex classical paths is investigated to discuss quantum tunnelling splittings in one-dimensional systems. Here the Hamiltonian is assumed to be given as polynomi…
Drowning by numbers: topology and physics in fluid dynamics
Amaury Mouchet
Since its very beginnings, topology has forged strong links with physics and the last Nobel prize in physics, awarded in 2016 to Thouless, Haldane and Kosterlitz " for theoretical…
Variations on chaos in physics: from unpredictability to universal laws
Amaury Mouchet
The tremendous popular success of Chaos Theory shares some common points with the not less fortunate Relativity: they both rely on a misunderstanding. Indeed, ironically , the scie…
Applications of Noether conservation theorem to Hamiltonian systems
Amaury Mouchet
The Noether theorem connecting symmetries and conservation laws can be applied directly in a Hamiltonian framework without using any intermediate Lagrangian formulation. This requi…