Superintegrable relativistic systems in spacetime-dependent background fields
نویسنده
چکیده
We consider a relativistic charged particle in background electromagnetic fields depending on both space and time. We identify which symmetries of the fields automatically generate integrals (conserved quantities) of the charge motion, accounting fully for relativistic and gauge invariance. Using this we present new examples of superintegrable relativistic systems. This includes examples where the integrals of motion are quadratic or nonpolynomial in the canonical momenta.
منابع مشابه
Covariant perturbations of domain walls in curved spacetime.
Amanifestly covariant equation is derived to describe the perturbations in a domain wall on a given background spacetime. This generalizes recent work on domain walls in Minkowski space and introduces a framework for examining the stability of relativistic bubbles in curved spacetimes.
متن کاملELEMENTARY PARTICLES AND FIELDS Theory Models of Quadratic Quantum Algebras and Their Relation to Classical Superintegrable Systems
—We show how to construct realizations (models) of quadratic algebras for 2D second order superintegrable systems in terms of differential or difference operators in one variable. We demonstrate how various models of the quantum algebras arise naturally from models of the Poisson algebras for the corresponding classical superintegrable system. These techniques extend to quadratic algebras relat...
متن کاملLagrangian Formalism for Multiform Fields on Minkowski Spacetime
We present an introduction to the mathematical theory of the Lagrangian formalism for multiform fields on Minkowski spacetime based on the multiform and extensor calculus. Our formulation gives a unified mathematical description for the main relativistic field theories including the gravitational field (which however will be discussed in a separate paper). We worked out several examples (includ...
متن کاملفضا زمان های در حال تحول با فشار شعاعی خالص
In this study time-dependent and spherically symmetric solutions of the Einstein field equations in an anisotropic background with a purely radial tension are presented. There exist three classes of solutions,1) An open spacetime with a wormhole at its center. 2) A conical spacetime. 3) A closed spacetime. These inhomogeneous solutions are reduced to FRW spacetimes in matter-dominated era, as...
متن کامل0 Three Field Dynamics in ( 1 + 1 ) - dimensions
In a model of nonlinear system of three scalar fields the problem on dynamics of a massive particle moving in effective potential provided by two relativistic fields is solving. The potentials for these fields are chosen in the form of anti-Higgs and Higgs potentials. It is shown that the effective potential has the shape of two-hump barrier localized in spacetime. It tends to constant attracti...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2017