共查询到20条相似文献,搜索用时 343 毫秒
1.
Ludger Hannibal 《International Journal of Theoretical Physics》1991,30(11):1431-1444
A discussion of the 1950s and 1960s on the existence of an explicit covariant canonical formalism is renewed. A new point of view is introduced where Hamilton's principle, based on the existence of a Hamiltonian, is postulated independently from the Lagrange formalism. The Hamiltonian is determined by transformation properties and dimensional considerations. The variation of the action without constraints leads to an explicit covariant canonical formalism and correct equations of motion. The introduction of the charge as a fifth momentum gives rise to a reformulation of classical relativistic point mechanics as a five-dimensionalU(1) gauge theory with a theoretically invisible extra dimension. A generalization to other gauge groups is given. The inversion of the proper time is introduced as a new particle-antiparticle symmetry that allows one to show that in the five-dimensional classical theory all particles have positive energy. 相似文献
2.
O. S. Zandron 《International Journal of Theoretical Physics》2003,42(11):2705-2720
The canonical covariant formalism (CCF) of the topological five-dimensional Chern–Simons gravity is constructed. Because this gravity model naturally contains a Gauss–Bonnet term, the extended CCF valid for higher curvature gravity must be used. In this framework, the primary constraint and the total Hamiltonian are found. By using the equations of the CCF, it is shown that the bosonic five-form which defines the total Hamiltonian is a first-class dynamical quantity strongly conserved. In this context the equations of motion are also analyzed. To determine the effective interactions of the model, the toroidal dimensional reduction of the five-dimensional Chern–Simons gravity is carried out. Finally the first-order CCF and the usual canonical vierbein formalism (CVF) are related and the Hamiltonian as generator of time evolution is constructed in terms of the first-class constraints of the coupled system. 相似文献
3.
《Journal of Nonlinear Mathematical Physics》2013,20(3):398-429
Abstract In this paper we propose an Euler-Poincaré formalism of the Degasperis and Procesi (DP) equation. This is a second member of a one-parameter family of partial differential equations, known as b-field equations. This one-parameter family of pdes includes the integrable Camassa-Holm equation as a first member. We show that our Euler-Poincaré formalism exactly coincides with the Degasperis-Holm-Hone (DHH) Hamiltonian framework. We obtain the DHH Hamiltonian structues of the DP equation from our method. Recently this new equation has been generalized by Holm and Staley by adding viscosity term. We also discuss Euler-Poincaré formalism of the Holm-Staley equation. In the second half of the paper we consider a generalization of the Degasperis and Procesi (DP) equation with two dependent variables. we study the Euler-Poincaré framework of the 2-component Degasperis-Procesi equation. We also mention about the b-family equation. 相似文献
4.
De Luca J 《Chaos (Woodbury, N.Y.)》2005,15(3):33107
We give a Hamiltonian formalism for the delay equations of motion of the electromagnetic two-body problem with arbitrary masses and with either repulsive or attractive interaction. This dynamical system based on action-at-a-distance electrodynamics appeared 100 years ago and it was popularized in the 1940s by the Wheeler and Feynman program to quantize it as a means to overcome the divergencies of perturbative QED. Our finite-dimensional implicit Hamiltonian is closed and involves no series expansions. As an application, the Hamiltonian formalism is used to construct a semiclassical canonical quantization based on the numerical trajectories of the attractive problem. 相似文献
5.
Canonical formalism for SO(2) is developed. This group can be seen as a toy model of the Hamilton-Dirac mechanics with constraints.
The Lagrangian and Hamiltonian are explicitly constructed and their physical interpretations are given. The Euler-Lagrange
and Hamiltonian canonical equations coincide with the Lie equations. It is shown that the constraints satisfy CCR. Consistency
of the constraints is checked.
Presented at the International Colloquium “Integrable Systems and Quantum Symmetries”, Prague, 16–18 June 2005. 相似文献
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Ali Khalili Golmankhaneh Alireza Khalili Golmankhaneh Dumitru Baleanu Mihaela Cristina Baleanu 《International Journal of Theoretical Physics》2010,49(2):365-375
In this paper, we show that the fractional constraint Hamiltonian formulation, using Dirac brackets, leads to the same equations
as those obtained from fractional Euler-Lagrange equations. Furthermore, the fractional Faddeev-Jackiw formalism was constructed. 相似文献
9.
We study some systems of non-linear PDE's (Eqs. 1.1 below) which can be regarded either as generalizations of the sine-Gordon equation or as two-dimensional versions of the Toda lattice equations. We show that these systems have an infinite number of non-trivial conservation laws and an infinite number of symmetries. The second result is deduced from the first by a variant of the Hamiltonian formalism for evolution equations. We also consider some specializations of the systems. 相似文献
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11.
Pierre Mathieu 《Letters in Mathematical Physics》1988,16(3):199-206
The Hamiltonian formalism for evolution equations and, in particular, the Olver method for the verification of the Jacobi identity, are extended to systems of coupled bosonic and fermionic classical fields. A superspace Hamiltonian formulation is also presented. 相似文献
12.
J. Blčák 《Czechoslovak Journal of Physics》1979,29(9):945-980
A complete account of the Hamiltonian approach to the coupled perturbations of the Reissner-Nordström black hole, initiated by Moncrief, is given. All Hamiltonian equations are expressed explicitly in suitable forms; the metric and electromagnetic field perturbations are found in terms of Moncrief's gauge invariant canonical variables in the Regge-Wheeler gauge. The basic (both tetrad and coordinate) gauge invariant scalars occurring in the perturbation studies based on the Newman-Penrose formalism are then related to Moncrief's variables. The strikingly simple relations obtained enable us to show that the fundamental pair of decoupled equations, derived recently within the Newman-Penrose formalism by Chandrasekhar, can be cast into gauge invariant form, and that it can be obtained from Moncrief's formalism.It is demonstrated how the fundamental equations, supplemented by another combination of the Newman — Penrose equations, generalize the Bardeen-Press equations for uncoupled electromagnetic and gravitational perturbations of the Schwarzschild black hole.The odd and the even parityl=1 perturbations are also considered in detail. In the Appendix the relations to Zerilli's work on coupled perturbations of the Reissner-Nordström black hole are given. 相似文献
13.
This article is written as a review of the Hamiltonian formalism for the bigravity with de Rham–Gabadadze–Tolley (dRGT) potential, and also of applications of this formalism to the derivation of the background cosmological equations. It is demonstrated that the cosmological scenarios are close to the standard ΛCDM model, but they also uncover the dynamical behavior of the cosmological term. This term arises in bigravity regardless on the choice of the dRGT potential parameters, and its scale is given by the graviton mass. Various matter couplings are considered. 相似文献
14.
V. M. Vorob'ev 《Russian Physics Journal》1990,33(12):1044-1047
The nonlinear dynamics of nonequilibrium two-stream hydrodynamic systems is described within the framework of Hamiltonian formalism. A procedure is proposed for diagonalization of the quadratic part of the Hamiltonian based on diagonalization of the dynamic equations by going over to normal variables with subsequent construction of the Hamiltonian as a motion integral. Matrix mode interaction elements are found.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 72–76, December, 1990. 相似文献
15.
Josip Šoln 《International Journal of Theoretical Physics》1992,31(4):581-610
The formalism of partial differential equations with respect to coupling constants is used to develop a covariant perturbation theory for the interpolating fields and theS matrix when the coupling terms in the Larangian density involve arbitrary (first and higher) derivatives. Through the notion of pure noncovariant contractions, the free-fieldT and the (covariant)T
* products can be related to each other, allowing us to avoid the Hamiltonian density altogether when dealing with theS matrix. The important ingredients in our approach are (1) the adiabatic switching on and off of the interactions in the infinite past and future, respectively, and (2) the vanishing of four-dimensional delta functions and their derivatives at zero space-time points. The latter ingredient is a prerequisite that our formalism and the canonical formalism be consistent with each other, and on the other hand, it is supported by the dimensional regularization. Corresponding to any Lagrangian, the generalized interaction Hamiltonian density is defined from the covariantS matrix with the help of the pure noncovariant contractions. This interaction Hamiltonian density reduces to the usual one when the Lagrangian density depends on just first derivatives and when the usual canonical formalism can be applied. 相似文献
16.
Roberto Beneduci James Brooke Ray Curran Franklin E. SchroeckJr. 《International Journal of Theoretical Physics》2011,50(12):3682-3696
We consider the Hamilton formulation as well as the Hamiltonian flows on a symplectic (phase) space. These symplectic spaces
are derivable from the Lie group of symmetries of the physical system considered. In Part 2 of this work, we then obtain the
Hamiltonian formalism in the Hilbert spaces of square integrable functions on the symplectic spaces so obtained. 相似文献
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M. I. Jaghoub 《The European Physical Journal A - Hadrons and Nuclei》2006,28(2):253-257
This work explores the application of perturbation formalism, developed for isotropic velocity-dependent potentials, to three-dimensional
Schr?dinger equations obtained using different orderings of the Hamiltonian. It is found that the formalism is applicable
to Schr?dinger equations corresponding to three possible ordering ambiguities. The validity of the derived expressions is
verified by considering examples admitting exact solutions. The perturbative results agree quite well with the exactly obtained
ones. 相似文献
19.
Fock-Space (annihilation/creation operator) methods are introduced to describe systems of identical classical objects. Specific examples to which this formalism is applied are branching processes (including age dependent ones), chemical reactions, deterministic (Hamiltonian) systems, and generalized kinetic equations. Finally, a generalization to stochastic quantum systems is proposed which is applied to a gas of spinning molecules. 相似文献
20.
The paper presents a possible path to the sp(3) BRST Lagrangean formalism for a 1-reducible gauge field theory starting from
the Hamiltonian one. This appears to be not at all a trivial attempt and will allow explanation of the structure of generators
and the form of the master equations in the Lagrangean sp(3) theories. The Freedman-Townsend model, for which a Lagrangean
(covariant) sp(3) theory is important, is presented. 相似文献