[图书][B] Symplectic methods in harmonic analysis and in mathematical physics

MA De Gosson - 2011 - books.google.com
The aim of this book is to give a rigorous and complete treatment of various topics from
harmonic analysis with a strong emphasis on symplectic invariance properties, which are …

Complexity and the bulk volume, a new York time story

A Belin, A Lewkowycz, G Sárosi - Journal of High Energy Physics, 2019 - Springer
A bstract We study the boundary description of the volume of maximal Cauchy slices using
the recently derived equivalence between bulk and boundary symplectic forms. The volume …

The Jarzynski identity derived from general Hamiltonian or non-Hamiltonian dynamics reproducing NVT or NPT ensembles

MA Cuendet - The Journal of chemical physics, 2006 - pubs.aip.org
The Jarzynski identity (JI) relates nonequilibrium work averages to thermodynamic free
energy differences. It was shown in a recent contribution [MA Cuendet, Phys. Rev. Lett. 96 …

Covariant canonical formulations of classical field theories

F Gieres - SciPost Physics Lecture Notes, 2023 - scipost.org
We review in simple terms the covariant approaches to the canonical formulation of classical
relativistic field theories (in particular gauge field theories and general relativity) and we …

Covariant Hamiltonian field theory

J Struckmeier, A Redelbach - International Journal of Modern …, 2008 - World Scientific
A consistent, local coordinate formulation of covariant Hamiltonian field theory is presented.
Whereas the covariant canonical field equations are equivalent to the Euler–Lagrange field …

Advances on the modeling of the time evolution of dynamic aperture of hadron circular accelerators

A Bazzani, M Giovannozzi, EH Maclean… - … Review Accelerators and …, 2019 - APS
Determining a model for the time scaling of the dynamic aperture of a circular accelerator is
a topic of strong interest and intense research efforts in accelerator physics. The motivation …

Imprints of the quantum world in classical mechanics

MA de Gosson, BJ Hiley - Foundations of Physics, 2011 - Springer
The imprints left by quantum mechanics in classical (Hamiltonian) mechanics are much
more numerous than is usually believed. We show that the Schrödinger equation for a …

Integrability and dynamics of the Poisson–Boltzmann equation in simple geometries

K Huang, S Shi, S Yang - … in Nonlinear Science and Numerical Simulation, 2024 - Elsevier
In this article, we conduct a systematic study of the integrability and dynamics of the PB
equation in plane, cylinder and sphere geometries. Specifically, for the PB equation with …

Adaptive Hamiltonian variational integrators and applications to symplectic accelerated optimization

V Duruisseaux, J Schmitt, M Leok - SIAM Journal on Scientific Computing, 2021 - SIAM
It is well known that symplectic integrators lose their near energy preservation properties
when variable time-steps are used. The most common approach to combining adaptive time …

[HTML][HTML] Hamiltonian deformations of Gabor frames: first steps

MA de Gosson - Applied and computational harmonic analysis, 2015 - Elsevier
Gabor frames can advantageously be redefined using the Heisenberg–Weyl operators
familiar from harmonic analysis and quantum mechanics. Not only does this redefinition …