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1.
研究Hamilton系统的形式不变性即Mei对称性,给出其定义和确定方程.研究Hamilton系统的Mei对称性与Noether对称性、Lie对称性之间的关系,寻求系统的守恒量.给出一个例子说明本文结果的应用.
关键词:
Hamilton系统
Mei对称性
Noether对称性
Lie对称性
守恒量 相似文献
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E. J. Post 《Foundations of Physics》1978,8(3-4):277-294
Mathematical tradition has it that transformations characterized by a negative Jacobian determinant are referred to as improper transformations. The symmetry of a physical object corresponding to such an improper transformation becomes an improper symmetry. Improper symmetries have been successfully used for the purpose of crystal symmetry. The extension of these purely spatial symmetries to the domain of spacetime has led to a prejudicial use of light-cone properties, thus affecting adversely an unbiased symmetry classification. We pinpoint these prejudicial procedures and trace their historical origin, while presenting an alternative that restores an unbiased treatment of improper spacetime symmetries. The applications discussed relate to recent developments in the symmetry classification of magnetic crystals and to the extension of Neumann's principle to the time domain. 相似文献
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研究奇异系统Hamilton正则方程的形式不变性即Mei对称性,给出其定义、确定方程、限制方程和附加限制方程.研究奇异系统Hamilton正则方程的Mei对称性与Noether对称性、Lie对称性之间的关系,寻求系统的守恒量.给出一个例子说明结果的应用.
关键词:
奇异系统
Hamilton正则方程
约束
对称性
守恒量 相似文献
6.
Bittner S Dietz B Günther U Harney HL Miski-Oglu M Richter A Schäfer F 《Physical review letters》2012,108(2):024101
We demonstrate the presence of parity-time (PT) symmetry for the non-Hermitian two-state Hamiltonian of a dissipative microwave billiard in the vicinity of an exceptional point (EP). The shape of the billiard depends on two parameters. The Hamiltonian is determined from the measured resonance spectrum on a fine grid in the parameter plane. After applying a purely imaginary diagonal shift to the Hamiltonian, its eigenvalues are either real or complex conjugate on a curve, which passes through the EP. An appropriate basis choice reveals its PT symmetry. Spontaneous symmetry breaking occurs at the EP. 相似文献
7.
A.H. Fatollahi 《The European Physical Journal C - Particles and Fields》2000,17(3):535-538
We propose a new point of view on gauge theories, based on taking the action of symmetry transformations directly on the
space coordinates. Via this approach the gauge fields are not introduced at the first step, and they can be interpreted as
fluctuations around some classical solutions of the model. The new point of view is connected to the lattice formulation of
gauge theories, and the parameter of the non-commutativity of the coordinates appears as the lattice spacing parameter. Through
the statements concerning the continuum limit of lattice gauge theories, the suggestion arises that the non-commutative spaces
are the natural ones to formulate gauge theories at strong coupling. Via this point of view, a close relation between the
large-N limit of gauge theories and string theory can be made manifest.
Received: 16 June 2000 / Published online: 8 September 2000 相似文献
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A self-consistent theory of dyons in Abelian and non-Abelian limits has been formulated in terms of an extra magnetic symmetry
and topological magnetic charge. It has been shown that the restricted gauge potential describes the fields of dyons in terms
of two regular (time-like) potentials only when recourse is made to the duality of topological (magnetic) and isocolour (electric)
charges. Choosing a suitable Lagrangian density for the system of dyons in non-Abelian gauge theory, the field equations,
energy-momentum tensor, Hamiltonian and momentum densities have also been derived and the conservation of the four-linear
momentum and the total angular momentum has been demonstrated. 相似文献
10.
Hironari Miyazawa 《Proceedings of the Japan Academy. Series B, Physical and biological sciences》2010,86(3):158-164
Fermions and bosons are quite different kinds of particles, but it is possible to unify them in a supermultiplet, by introducing a new mathematical scheme called superalgebra. In this article we discuss the development of the concept of symmetry, starting from the rotational symmetry and finally arriving at this fermion-boson (FB) symmetry. 相似文献
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Starting from the full group of symmetries of a system we select a discrete subset of transformations which allows to introduce
the Clifford algebra of operators generating new supercharges of extended supersymmetry. The system defined by the Pauli Hamiltonian
is discussed.
Presented at the 10th International Colloquium on Quantum Groups: “Quantum Groups and Integrable Systems”, Prague, 21–23 June
2001
Partially supported by the KBN-Grant # 5 P03B056 20. 相似文献
12.
Laurent Baulieu 《Nuclear Physics B》1984,241(2):557-588
Anomalies are known to have an intrinsic geometrical meaning. Using a formalism where the gauge condition is never made explicit we reanalyze the gauge theory anomaly problem. By requiring simultaneously the BRS and anti-BRS invariances, we do not need to use in our study the gauge dependent anti-ghost equation of motion. Then all equations definining the anomaly are independent of all parameters specifying the lagrangian. Not only does this stress explicitly the geometrical nature of the anomaly problem, but it allows for a single analysis for all possible BRS and anti-BRS invariant gauges, including those with four-ghost interactions. Our method for solving the anomaly equations is as a new sign of the relevance of the formalism in which the ghost components are unified with those of the classical gauge field, the ghost fields playing the role of a “connection” along unphysical directions. We recover the ABJ anomaly directly from the structure of BRS equations, as a straightforward application of the Chern-Weil theorem in some enlarged space. The method can be formally extended to higher space-time dimensions, and a general formula for “anomalies” in any even dimension is given. 相似文献
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We deconstruct the non-supersymmetric SU(5) breaking by discrete symmetry on the space-time and in the Higgs mechanism deconstruction scenario. Also we explain the subtle point of how to exactly match the continuum results
with the latticized results on the quotient space S
1
/Z
2
and . We also propose an effective deconstruction scenario and discuss the gauge symmetry breaking by the discrete symmetry on
the theory space in this approach. As an application, we suggest the GN unification where GN is broken down to by the bifundamental link fields and the doublet-triplet splitting can be achieved.
Received: 10 October 2002 / Revised version: 23 March 2003 / Published online: 13 May 2003
RID="a"
ID="a" Current address: School of Natural Sciences, Institute for Advanced Study, Einstein Drive, Princeton, NJ 08540, USA
e-mail: tli@sns.ias.edu
RID="b"
ID="b" e-mail: liutao@sas.upenn.edu 相似文献
14.
V. Majerník 《Foundations of Physics Letters》1997,10(4):357-370
We propose a spacetime scheme representing the union of the real and non-real spacetime as a possible geometrical framework
for Caldirola’s idea, that the bradyonic motion can be regarded as a light-like motion in an additional extra space. The playground
of all physical processes is the union space. However, the physical processes in union space are differently projected on
the real and non-real spacetime. The waves linked with luxons in union space are projected on the real spacetime so that they
propagate here always with the velocity of light. The waves linked with bradyons in union space are projected on the non-real
spacetime so that they propagate here with the velocity of light. The wave linked with a bradyon in union space, which is
projected on the real spacetime, is here described by the Schroedinger and Dirac equations. There is proposed a symmetry which
demands that the physical world is in its law the same whether it is seen from real or non-real spacetime. We discuss some
consequences of this symmetry in the theory of elementary particles. 相似文献
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We consider a model with a charged vector field along with a Cremmer-Scherk-Kalb-Ramond (CSKR) matter field coupled to a U(1) gauge potential. We obtain a natural Lorentz symmetry violation due to the local U(1) spontaneous symmetry breaking mechanism triggered by the imaginary part of the vector matter. The choice of the unitary gauge leads to the decoupling of the gauge-KR sector from the Higgs-KR sector. The excitation spectrum is carefully analyzed and the physical modes are identified. We propose an identification of the neutral massive spin-1 Higgs-like field with the massive Z boson of the so-called mirror matter models.Received: 30 October 2003, Revised: 16 March 2004, Published online: 23 June 2004 相似文献
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Paul H. Frampton 《Pramana》1995,45(1):113-116
In this presentation, I discuss an extension of the standard model which is motivated by the desire to allow non-trivial accommodation of three families and is testable by the production of new particles (especially dileptons). 相似文献
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Noether symmetry and Lie symmetry of discrete holonomic systems with dependent coordinates 下载免费PDF全文
The Noether symmetry, the Lie symmetry and the conserved quantity of discrete holonomic systems with dependent coordinates are investigated in this paper. The Noether symmetry provides a discrete Noether identity and a conserved quantity of the system. The invariance of discrete motion equations under infinitesimal transformation groups is defined as the Lie symmetry, and the condition of obtaining the Noether conserved quantity from the Lie symmetry is also presented. An example is discussed to show the applications of the results. 相似文献
20.
I. B. Pestov 《Physics of Atomic Nuclei》2011,74(7):1055-1061
Unification of General Theory of Relativity and Quantum Mechanics leads to General Quantum Mechanics which includes into itself
spindynamics as a theory of spin phenomena. The key concepts of spindynamics are geometrical spin symmetry and the spin field
(space of defining representation of spin symmetry). The essence of spin is the bipolar structure of geometrical spin symmetry
induced by the gravitational potential. The bipolar structure provides a natural derivation of the equations of spindynamics.
Spindynamics involves all phenomena connected with spin and provides new understanding of the strong interaction. 相似文献