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Calculation of the electromagnetic self-force of a non-lorentz-contractible uniformly charged spherical shell in arbitrary rectilinear motion 非洛伦兹可收缩均匀带电球壳在任意直线运动中的电磁力计算
IF 0.8 4区 物理与天体物理 Q3 PHYSICS, MATHEMATICAL Pub Date : 2023-06-01 DOI: 10.1016/S0034-4877(23)00042-3
G. Vaman

We write the electromagnetic self-force of a non-Lorentz-contractible uniformly charged shell of radius a as a series in powers of a, and we calculate the first three terms of this expansion. The method of calculation presented here allows the exact consideration of all linear and nonlinear terms in velocity and its derivatives corresponding to a given power of a. Our calculation is entirely done in the laboratory frame of reference.

我们把半径为a的非洛伦兹可收缩均匀带电壳层的电磁力写成a的幂级数,我们计算这个展开的前三项。这里提出的计算方法允许精确地考虑速度及其导数中与给定a的幂相对应的所有线性和非线性项。我们的计算完全是在实验室的参照系中完成的。
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引用次数: 0
Galois symmetry of energy levels of the XXX model for the case of octagonal two-magnon states on the generic star of quasimomentum 准动量星上八角形双磁振子态XXX模型能级的伽罗瓦对称
IF 0.8 4区 物理与天体物理 Q3 PHYSICS, MATHEMATICAL Pub Date : 2023-06-01 DOI: 10.1016/S0034-4877(23)00039-3
T. Lulek, M. Łabuz, J. Milewski, R. Stagraczyński

We consider the factor υ of the characteristic polynomial wH (x) of the Heisenberg Hamiltonian Ĥ of the XXX model, corresponding to the generic star [k = ±1, ±3] of quasimomentum k for octagonal (N = 8) magnetic ring in the two-magnon sector. This factor is recognized as the fourth-degree polynomial with integer coefficients, indecomposable over the prime number field ℚ of rationals. We demonstrate the physical meaning of the corresponding Galois group as the group of permutations of eigenenergies between the quasimomenta entering the generic star of the Brillouin zone of octagon. In particular, we point out the role of intersection of this group with Galois group of the cyclotomic field, responsible for the translational symmetry of octagon. Bound and scattered two-magnon eigenstates are identified by their spectra. Some general remarks are made on Galois symmetries within the XXX integrable model.

我们考虑了XXX模型的海森堡哈密顿量Ĥ的特征多项式wH (x)的因子υ,对应于双磁振子扇区中八角形(N = 8)磁环准动量k的一般星[k =±1,±3]。该因子被认为是具有整数系数的四次多项式,在有理数的素数域上不可分解。我们证明了相应伽罗瓦群的物理意义,即进入八边形布里渊带的一般星的准动量之间的本征能置换群。特别地,我们指出了这个群与环切场的伽罗瓦群的交点对八边形平移对称的作用。结合和散射双磁振子本征态由它们的光谱来识别。对XXX可积模型中的伽罗瓦对称性作了一般性的评述。
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引用次数: 0
Investigation on gradient solitons in perfect fluid spacetimes 理想流体时空中梯度孤子的研究
IF 0.8 4区 物理与天体物理 Q3 PHYSICS, MATHEMATICAL Pub Date : 2023-06-01 DOI: 10.1016/S0034-4877(23)00035-6
Krishnendu De, Uday Chand De

This article concerns the study of perfect fluid spacetimes equipped with different types of gradient solitons. It is shown that if a perfect fluid spacetime with Killing velocity vector admits a τ-Einstein soliton of gradient type, then the spacetime represents phantom regime, or ψ remains invariant under the velocity vector field ρ. Besides, we establish that in a perfect fluid spacetime with constant scalar curvature, if the Lorentzian metric is the gradient τ-Einstein soliton, then either the τ-Einstein gradient potential function is pointwise collinear with ρ, or the spacetime represents stiff matter fluid. Furthermore, we prove that under certain conditions, a perfect fluid spacetime turns into a generalized Robertson–Walker spacetime, as well as a static spacetime and such a spacetime is of Petrov type I, D or O. We also characterize perfect fluid spacetimes whose Lorentzian metric is equipped with gradient m-quasi Einstein solitons and that the perfect fluid spacetime has vanishing expansion scalar, or it represents dark energy era under certain restriction on the potential function.

本文研究了具有不同类型梯度孤子的完美流体时空。证明了在具有kill速度矢量的完美流体时空中,如果存在梯度型τ-爱因斯坦孤子,则该时空表示虚区,或者ψ在速度矢量场ρ下保持不变。此外,我们还建立了在具有恒定标量曲率的完美流体时空中,如果洛伦兹度规是梯度τ-爱因斯坦孤子,则要么τ-爱因斯坦梯度势函数与ρ点共线,要么时空代表刚性物质流体。进一步证明了在一定条件下,完美流体时空可以转化为广义的Robertson-Walker时空和静态时空,这种时空为Petrov型I、D或o。我们还刻画了完美流体时空的洛伦兹度规具有梯度m-准爱因斯坦孤子,并且完美流体时空具有消失的膨胀标量,或者在一定的势函数限制下代表暗能量时代。
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引用次数: 0
Time of arrival operator in the momentum space 动量空间中的到达时间算子
IF 0.8 4区 物理与天体物理 Q3 PHYSICS, MATHEMATICAL Pub Date : 2023-06-01 DOI: 10.1016/S0034-4877(23)00037-X
A.M. Schlichtinger, A. Jadczyk

It is shown that in presence of certain external fields a well-defined self-adjoint time operator exists, satisfying the standard canonical commutation relations with the Hamiltonian. Examples include uniform electric and gravitational fields with nonrelativistic and relativistic Hamiltonians. The physical intepretation of these operators is proposed in terms of time of arrival in the momentum space.

证明了在一定的外场存在下,存在一个定义良好的自伴随时间算子,它满足与哈密顿量的标准正则交换关系。例子包括非相对论性和相对论性哈密顿量的均匀电场和引力场。提出了这些算符在动量空间中的到达时间的物理解释。
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引用次数: 0
Periodic ground states for the mixed spin ising model with competing interactions on a Cayley tree Cayley树上具有竞争相互作用的混合自旋ising模型的周期基态
IF 0.8 4区 物理与天体物理 Q3 PHYSICS, MATHEMATICAL Pub Date : 2023-06-01 DOI: 10.1016/S0034-4877(23)00041-1
Farrukh Mukhamedov , Muzaffar M. Rahmatullaev, Dilshodbek O. EgAMOV

In the present paper, translation-invariant and periodic ground states are described for a mixed spin Ising model with competing interactions on the Cayley tree of order two. The limiting behaviour of various Gibbs measures of our mixed spin Ising model is discussed as well.

本文描述了二阶Cayley树上具有竞争相互作用的混合自旋Ising模型的平移不变基态和周期基态。讨论了混合自旋Ising模型的各种Gibbs测度的极限行为。
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引用次数: 0
Conserved currents from nonlocal constants in relativistic scalar field theories 相对论标量场论中非局部常数的守恒流
IF 0.8 4区 物理与天体物理 Q3 PHYSICS, MATHEMATICAL Pub Date : 2023-06-01 DOI: 10.1016/S0034-4877(23)00040-X
Mattia Scomparin

Nonlocal constants are functions that are constant along motion but whose value depends on the past history of the motion itself. They have been introduced to study ODEs and, among all applications, they provide first integrals in special cases. In this respect, a new approach to get nonlocal constants within the framework of Lagrangian scalar field theory is introduced. We derive locally-conserved currents from them, and we prove the consistency of our results by recovering some standard Noetherian results. Applications include the real/complex nonlinear interacting theory and the real dissipative Klein–Gordon theory.

非局部常数是沿运动方向恒定的函数,但其值取决于运动本身的过去历史。它们被用来研究ode,在所有的应用中,它们提供了特殊情况下的第一积分。在此基础上,提出了一种在拉格朗日标量场理论框架下求非定域常数的新方法。我们从它们推导出局部守恒电流,并通过恢复一些标准的诺etherian结果来证明我们的结果的一致性。应用包括实/复非线性相互作用理论和实耗散Klein-Gordon理论。
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引用次数: 1
Jacobi vector fields and conjugate points on warped product manifolds 翘曲积流形上的Jacobi向量场和共轭点
IF 0.8 4区 物理与天体物理 Q3 PHYSICS, MATHEMATICAL Pub Date : 2023-06-01 DOI: 10.1016/S0034-4877(23)00043-5
Alexander Dirmeier, Mike Scherfner, Sameh Shenawy, Bülent ÜnAL

In this paper, the structure of Jacobi vector fields on warped product manifolds is investigated. Many characterizations of Jacobi vector fields on warped product manifolds are obtained. Consequently, conjugate points on warped product manifolds are also considered. Finally, we apply our results to characterize conjugate points of some well-known warped product spacetimes.

研究了翘曲积流形上Jacobi向量场的结构。得到了翘曲积流形上雅可比向量场的许多特征。因此,也考虑了弯曲积流形上的共轭点。最后,我们应用我们的结果来描述一些著名的翘曲积时空的共轭点。
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引用次数: 1
NEW QUANTUM AND LCD CODES FROM CYCLIC CODES OVER A FINITE NON-CHAIN RING 有限非链环上循环码的新量子码和LCD码
IF 0.8 4区 物理与天体物理 Q3 PHYSICS, MATHEMATICAL Pub Date : 2023-04-01 DOI: 10.1016/S0034-4877(23)00027-7
Nadeem ur Rehman, Mohd Azmi, Ghulam Mohammad

In this work, we study cyclic codes of length n over a finite commutative non-chain ring=Fq[u,v]/u2γu,v2ϵv,uvvu whereγ,ϵFq* and we find new and better quantum error-correcting codes than previously known quantum error correcting codes. Then certain constraints are imposed on the generator polynomials of cyclic codes, so these codes become linear complementary dual codes (in short LCD codes). We then verify that the Gray image of linear complementary dual codes of length n over is a linear complementary dual code of length 4n overFq by establishing a Gray map.

在这项工作中,我们研究了长度为n的循环码在一个有限交换非链环上的循环码=Fq[u,v]/ < u2−γu,v2−ϵv,uv−vu >,其中γ, λ∈Fq*,我们找到了比以前已知的量子纠错码更好的量子纠错码。然后对循环码的生成器多项式施加一定的约束,使这些循环码成为线性互补对偶码(简称LCD码)。然后,我们通过建立灰度图来验证长度为n / g的线性互补对偶码的灰度图像是长度为4n / g的线性互补对偶码。
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引用次数: 0
AN UNBOUNDED GENERALIZATION OF TOMITA's OBSERVABLE ALGEBRAS II 富田可观测代数的无界推广2
IF 0.8 4区 物理与天体物理 Q3 PHYSICS, MATHEMATICAL Pub Date : 2023-04-01 DOI: 10.1016/S0034-4877(23)00028-9
Hiroshi Inoue

In a previous paper [4] we tried to build the basic theory of unbounded Tomita's observable algebras called T-algebras which are related to unbounded operator algebras, especially unbounded Tomita-Takesaki theory, operator algebras on Krein spaces, studies of positive linear functionals on *-algebras and so on. And we defined the notions of regularity, semisimplicity and singularity of T-algebras and characterized them. In this paper we shall proceed further with our studies of T-algebras and investigate whether a T-algebra is decomposable into a regular part and a singular part.

在之前的论文[4]中,我们试图建立与无界算子代数有关的无界富田可观测代数的基本理论,称为T†-代数,特别是无界富田武崎理论、Krein空间上的算子代数、*-代数上的正线性泛函的研究等,T†-代数的半单性和奇异性及其刻画。在本文中,我们将进一步研究T†-代数,并研究T†-代数是否可分解为正则部分和奇异部分。
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引用次数: 2
MAGNETIC FIELDS ON THE TANGENT BUNDLE OVER KÄHLERIAN MANIFOLDS KÉHLERIAN流形上切丛上的磁场
IF 0.8 4区 物理与天体物理 Q3 PHYSICS, MATHEMATICAL Pub Date : 2023-04-01 DOI: 10.1016/S0034-4877(23)00022-8
Nour Elhouda Djaa, Aydin Gezer, Mustapha Djaa

This paper is devoted to the study of generalized magnetic vector fields as magnetic maps from a Kählerian manifold to its tangent bundle endowed with a Berger type deformed Sasaki metric. Some properties of Killing magnetic vector fields are provided specially in the case of an Einstein manifold and a space form. In the last section, we consider the case of unit tangent bundle.

本文研究了广义磁场作为从Kählerian流形到具有Berger型变形Sasaki度规的切束的磁映射。在爱因斯坦流形和空间形式的情况下,给出了消磁矢量场的一些性质。在最后一节中,我们考虑单位切线束的情况。
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引用次数: 0
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Reports on Mathematical Physics
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