Canonical Form of Field Equations
نویسنده
چکیده
In this paper, we derive a canonical representation for the first order hyperbolic equation systems with their coefficient matrices satisfying the Clifford algebra Cl(1, 3), and then demonstrate some of its applications. This canonical formalism can naturally give a unified description for the fundamental fields in physics. PACS numbers: 11.10.-z, 11.10.Cd, 12.10.-g
منابع مشابه
Covariant Hamiltonian Field Theory
A consistent, local coordinate formulation of covariant Hamiltonian field theory is presented. Whereas the covariant canonical field equations are equivalent to the EulerLagrange field equations, the covariant canonical transformation theory offers more general means for defining mappings that preserve the form of the field equations than the usual Lagrangian description. It is proved that Pois...
متن کاملInfinite-dimensional versions of the primary, cyclic and Jordan decompositions
The famous primary and cyclic decomposition theorems along with the tightly related rational and Jordan canonical forms are extended to linear spaces of infinite dimensions with counterexamples showing the scope of extensions.
متن کاملتبدیلات دوگانگی آبلی استاندارد در گرانش f(T)
According to the perturbation order, the equations of motion of low-energy string effective action are the generalized Einstein equations. Thus, by making use of the conformal transformation of the metric tensor, it is possible to map the low-energy string effective action into f(T) gravity, relating the dilaton field to the torsion scalar. Considering a homogeneous and isotropic universe and ...
متن کاملCanonical representation for approximating solution of fuzzy polynomial equations
In this paper, the concept of canonical representation is proposed to find fuzzy roots of fuzzy polynomial equations. We transform fuzzy polynomial equations to system of crisp polynomial equations, this transformation is perform by using canonical representation based on three parameters Value, Ambiguity and Fuzziness.
متن کاملA Canonical Form of Nonlinear Discrete-Time Models
Discrete-time models of complex nonlinear processes, whether physical, biological or economical, are usually under the form of systems of coupled difference equations. In order to analyze such systems, one of the first tasks is that of finding a state-space description of the process, i.e. a set of state variables and the associated state equations. We present a methodology for finding a set of...
متن کاملOn First Order Generalized Maxwell Equations
The generalized Maxwell equations including an additional scalar field are considered in the first order formalism. The gauge invariance of the Lagrangian and equations is broken resulting the appearance of a scalar field. We find the canonical and symmetric energy momentum tensors. It is shown that the trace of the symmetric energymomentum tensor is not equal to zero in the theory considered. ...
متن کامل