Dirac operators on configuration spaces and Yang-Mills quantum field theory
In this paper we discuss a connection between Dirac operators on configuration spaces and Yang-Mills quantum field theory. We first show that the Hamilton operators of the self-dual and anti-self-dual sectors of a Yang-Mills quantum field theory emerge ...
Johannes Aastrup +1 more
doaj +2 more sources
Variational and viscosity operators for the evolutionary Hamilton–Jacobi equation [PDF]
We study the Cauchy problem for the first-order evolutionary Hamilton–Jacobi equation with a Lipschitz initial condition. The Hamiltonian is not necessarily convex in the momentum variable and not a priori compactly supported. We build and study an operator giving a variational solution of this problem, and get local Lipschitz estimates on this ...
Valentine Roos
openaire +3 more sources
Variational and viscosity operators for the evolutive Hamilton-Jacobi equation
We study the Cauchy problem for the first order evolutive Hamilton-Jacobi equation with a Lipschitz initial condition. The Hamiltonian is not necessarily convex in the momentum variable and not a priori compactly supported. We build and study an operator giving a variational solution of this problem, and get local Lipschitz estimates on this operator ...
Roos, Valentine
core +6 more sources
Hamilton–jacobi homogenization and the isospectral problem [PDF]
We consider the homogenization theory for Hamilton–Jacobi equations on the onedimensional flat torus in connection to the isospectrality problem of Schrödinger operators.
Lorenzo Zanelli, Zanelli L.
core +1 more source
An approximation method for the stabilizing solution of the Hamilton-Jacobi equation for integrable systems using Hamiltonian perturbation theory [PDF]
In this report, a method for approximating the stabilizing solution of the Hamilton-Jacobi equation for integrable systems is proposed using symplectic geometry and a Hamiltonian perturbation technique.
Sakamoto, Noboru +10 more
core +1 more source
On the Stochastic Mechanics Foundation of Quantum Mechanics
Among the famous formulations of quantum mechanics, the stochastic picture developed since the middle of the last century remains one of the less known ones.
Michael Beyer, Wolfgang Paul
doaj +1 more source
A Nonconstant Gradient Constrained Problem for Nonlinear Monotone Operators
The purpose of the research is the study of a nonconstant gradient constrained problem for nonlinear monotone operators. In particular, we study a stationary variational inequality, defined by a strongly monotone operator, in a convex set of gradient ...
Sofia Giuffrè
doaj +1 more source
Kinematic Mapping in Semi-Euclidean 4-Space
We study the some algebraic properties of matrix associated to Hamilton operators is defined for semi-quaternions. The kinematic mapping corresponding to these operators in semi-Euclidean 4-space is same as the kinematic mapping of Blaschke and Grünwald ...
Mehdi JAFARI
doaj +4 more sources
Hamilton-Pontryagin Integrators on Lie Groups [PDF]
In this thesis structure-preserving time integrators for mechanical systems whose configuration space is a Lie group are derived from a Hamilton-Pontryagin (HP) variational principle.
Bou-Rabee, Nawaf Mohammed
core +1 more source
Adapting Logic to Physics: The Quantum-Like Eigenlogic Program
Considering links between logic and physics is important because of the fast development of quantum information technologies in our everyday life. This paper discusses a new method in logic inspired from quantum theory using operators, named Eigenlogic ...
Zeno Toffano, François Dubois
doaj +1 more source

