Covariant Form of Center of Energy

1993 ◽  
pp. 749-756
Author(s):  
M. Umezawa
Keyword(s):  
Covariant Form

Covariant form for the conserved currents of the sine-Gordon and Liouville theories

1990 ◽  
Vol 250 (1-2) ◽  
pp. 102-106
Author(s):  
D.Z. Freedman ◽  
A. Lerda ◽  
S. Penati
Keyword(s):  
Covariant Form ◽  
Conserved Currents

The covariant form for quantum-mechanical operators which are quadratic in momentum

1975 ◽  
Vol 25 (1) ◽  
pp. 78-84 ◽  
Author(s):  
F. J. Bloore ◽  
L. Routh
Keyword(s):  
Quantum Mechanical ◽  
Covariant Form

scholarly journals NONCOMMUTATIVE METAFLUID DYNAMICS

2006 ◽  
Vol 21 (03) ◽  
pp. 505-516 ◽  
Author(s):  
A. C. R. MENDES ◽  
C. NEVES ◽  
W. OLIVEIRA ◽  
F. I. TAKAKURA
Keyword(s):  
Phase Space ◽  
Nonlinear Equations ◽  
Equations Of Motion ◽  
Additional Term ◽  
Dissipative Force ◽  
Covariant Form ◽  
Covariant Quantization ◽  
Noncommutative Spaces ◽  
Classical Phase Space

In this paper we define a noncommutative (NC) metafluid dynamics.1,2 We applied the Dirac's quantization to the metafluid dynamics on NC spaces. First class constraints were found which are the same obtained in Ref. 4. The gauge covariant quantization of the nonlinear equations of fields on noncommutative spaces were studied. We have found the extended Hamiltonian which leads to equations of motion in the gauge covariant form. In addition, we show that a particular transformation3 on the usual classical phase space (CPS) leads to the same results as of the ⋆-deformation with ν = 0. Besides, we have shown that an additional term is introduced into the dissipative force due to the NC geometry. This is an interesting feature due to the NC nature induced into model.

COVARIANT AND NONCOVARIANT GAUGE TRANSFORMATIONS FOR THE CONFORMAL PARTICLE

1993 ◽  
Vol 08 (19) ◽  
pp. 1747-1761 ◽  
Author(s):  
XAVIER GRÀCIA ◽  
JAUME ROCA
Keyword(s):  
The Other ◽  
Particle Model ◽  
Covariant Form ◽  
Gauge Invariant ◽  
Gauge Transformations ◽  
Other Hand ◽  
Canonical Generator

A gauge-invariant conformal particle model is studied. Its Lagrangian gauge transformations are obtained in a covariant way using a kind of canonical generator. On the other hand, the Hamiltonian transformations cannot be written in a covariant form despite the covariance of the Hamiltonian constraints.

Electromagnetism and special relativity

2018 ◽  
Author(s):  
J. Pierrus
Keyword(s):  
Electromagnetic Field ◽  
Special Relativity ◽  
Point Charge ◽  
Reference Frames ◽  
Classical Electrodynamics ◽  
Covariant Form ◽  
Field Tensor ◽  
Electromagnetic Field Tensor ◽  
Preferred Reference Frame ◽  
Physical Quantities

In 1905, when Einstein published his theory of special relativity, Maxwell’s work was already about forty years old. It is therefore both remarkable and ironic (recalling the old arguments about the aether being the ‘preferred’ reference frame for describing wave propagation) that classical electrodynamics turned out to be a relativistically correct theory. In this chapter, a range of questions in electromagnetism are considered as they relate to special relativity. In Questions 12.1–12.4 the behaviour of various physical quantities under Lorentz transformation is considered. This leads to the important concept of an invariant. Several of these are encountered, and used frequently throughout this chapter. Other topics considered include the transformationof E- and B-fields between inertial reference frames, the validity of Gauss’s law for an arbitrarily moving point charge (demonstrated numerically), the electromagnetic field tensor, Maxwell’s equations in covariant form and Larmor’s formula for a relativistic charge.

scholarly journals Exceptional field theory. I.E6(6)-covariant form of M-theory and type IIB

2014 ◽  
Vol 89 (6) ◽  
Author(s):  
Olaf Hohm ◽  
Henning Samtleben
Keyword(s):  
Field Theory ◽  
Covariant Form ◽  
M Theory

scholarly journals Cosmological hyperfluids, torsion and non-metricity

2020 ◽  
Vol 80 (11) ◽  
Author(s):  
Damianos Iosifidis
Keyword(s):  
Conservation Laws ◽  
Previous Model ◽  
Covariant Form ◽  
Future Directions ◽  
Affine Spaces ◽  
Cosmological Principle ◽  
Friedmann Equations ◽  
Flrw Universe ◽  
Novel Model

AbstractWe develop a novel model for cosmological hyperfluids, that is fluids with intrinsic hypermomentum that induce spacetime torsion and non-metricity. Imposing the cosmological principle to metric-affine spaces, we present the most general covariant form of the hypermomentum tensor in an FLRW Universe along with its conservation laws and therefore construct a novel hyperfluid model for cosmological purposes. Extending the previous model of the unconstrained hyperfluid in a cosmological setting we establish the conservation laws for energy–momentum and hypermomentum and therefore provide the complete cosmological setup to study non-Riemannian effects in Cosmology. With the help of this we find the forms of torsion and non-metricity that were earlier reported in the literature and also obtain the most general form of the Friedmann equations with torsion and non-metricity. We also discuss some applications of our model, make contact with the known results in the literature and point to future directions.

Constitutive Relations for Moving Plasmas

1979 ◽  
Vol 34 (2) ◽  
pp. 147-154 ◽  
Author(s):  
Helmut Hebenstreit
Keyword(s):  
Current Density ◽  
Constitutive Relations ◽  
Three Dimensional ◽  
Covariant Form ◽  
Plasma Properties ◽  
Polarization Model ◽  
Material Tensor ◽  
Symmetry Properties ◽  
Set Up ◽  
Order Four

Abstract A covariant form of Ohm’s Law for bianisotropic plasmas is set up connecting the four-dimensional current density with the field tensor through a material tensor of order three. This tensor is represented by two four-dimensional material tensors of order two, which are closely related to the usual threedimensional conductivity tensors; its symmetry properties are investigated and relations between its components and those of the three-dimensional material tensors are established. In addition a covariant constitutive equation for a plasma is formulated using the polarization model, where the four-dimensional current density is substituted by a polarization tensor. Thereby the plasma properties - like the dielectric and magnetic properties of a medium - are expressed by a material tensor of order four, whose representation is generalized for bianisotropic media

Sign in / Sign up

Export Citation Format

Share Document