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1.
对于引力场中标量粒子的Klein-Gordon方程,在引入玻姆量子势后,可写出类似于经典粒子的轨道运动方程,继而可表示成重新定义的度规空间中的测地线方程。 相似文献
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本文采用几何学方法将含碎裂机制的广义凝结方程表述为一个赋予仿射联络的无限维空间中的代表点的测地线运动方程. 相似文献
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在文章[吴迪等2013中国科学物理学力学天文学43115]中,从有质量粒子的Lagrangian作用量出发,对Kerr转动黑洞中类时的和类光的测地线方程给出了全新的统一推导,结果表明对转动黑洞隧穿辐射的研究不需要局限地采用拖曳系.这项工作完全克服了先前研究中存在的不足,使得Parikh-Wilczek半经典隧穿方法更加完善和自洽.本文将这一工作推广到转动带电黑洞情形,对Kerr-Newman黑洞中有质量带电粒子测地线方程做了新的推导,并对其隧穿辐射重新做了研究. 相似文献
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应用光学度规模型并利用Cartan结构方程和测地线方程,半定量地研究了光在非线性介质中的运动情况并与过去的结果进行了比较。 相似文献
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本文详细讨论了一维均匀势场中含时薛定谔方程的求解.求解的思想是以均匀势场中经典粒子的运动作为参考,从经典粒子的运动轨迹出发,构建出量子情形下描述粒子运动的高斯波包形式的演化波函数,进而借助含时薛定谔方程确定波函数的具体形式.在上述思想指导下,推导得出了坐标表象和动量表象下均匀势场内一维粒子的传播子函数.同时,作为比较,狄拉克态矢量符号提供了另一种得到上述传播子函数的途径. 相似文献
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1测地线平直时空是用欧几里德几何描述的,直线在其中占有重要地位.它是两点间的最短线.弯曲时空中一般不存在直线,但是,两点间会有最短线或最长线,统称短程线或测地线.测地线在黎曼几何中的作用,相当于直线在欧儿里德几何中的作用.广义相对论诞生前,数学家就曾对弯曲空间中的测地线进行过研究. 相似文献
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采用在牛顿力学中常用的方法,用一种简洁的数学形式给出了一维运动情形下受恒力作用的粒子的相对论动力学方程的一个例解,详细讨论了相对论粒子的加速度、速度和运动方程与牛顿力学中对应物理量的区别和联系. 相似文献
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In this article,we establish new and more general traveling wave solutions of space-time fractional Klein–Gordon equation with quadratic nonlinearity and the space-time fractional breaking soliton equations using the modified simple equation method.The proposed method is so powerful and effective to solve nonlinear space-time fractional differential equations by with modified Riemann–Liouville derivative. 相似文献
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Considering the fractal structure of space-time, the scale relativity theory in the topological dimension
DT=2 is built. In such a conjecture, the geodesics of this space-time imply the hydrodynamic model of the quantum mechanics. Subsequently, the gauge gravitational field on a fractal space-time is given. Then, the gauge group, the gauge-covariant
derivative, the strength tensor of the gauge field, the gauge-invariant
Lagrangean, the field equations of the gauge potentials and the gauge
energy-momentum tensor are determined. Finally, using this model, a
Reissner-Nordström type metric is obtained. 相似文献
13.
B.C. Chanyal 《Chinese Journal of Physics (Taipei)》2017,55(2):432-443
The concept of space-time representation is redefined using the octonion space-time (OST) algebra. In this study, describing the properties of octonions and their possible connection with Euclidean space-times, the internal and external space-time events are represented within the OST algebra. Keeping in mind the octonionic dual-Euclidean space-times, we express the homogeneous field equations which leads to the symmetrical nature of internal and external space-times. We derive the generalized Proca–Maxwell equations for massive-dyons in the case of the OST algebra. Accordingly, we have obtained a new set of octonionic Klein–Gordon potential (KGP) and Klein–Gordon field (KGF) equations for massive dyons from the generalized Proca–Maxwell equations. This formalism demonstrates that the octonionic KGP and KGF equations can be expressed in a single equation and it is equivalent to energy-momentum relation for dyons. As such, we have made an attempt to write the conservation of Noetherian current from the octonionic Klein–Gordon equations. 相似文献
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In the framework of the flat space-time approach to gravitational theory the equations of motion of point particles are derived from a suitable Lagrangian. Attention is paid to the distinction of the different worldline parameters in Minkowskian und Riemannian space-time. It is shown that the world-lines of point particles are geodesics in a Riemannian space-time and permit a consistent geometrical interpretation of the theory. 相似文献
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The fractional derivatives in the sense of Caputo and the homotopy analysis method are used to construct an approximate solution for the nonlinear space-time fractional derivatives Klein-Gordon equation. The numerical results show that the approaches are easy to implement and accurate when applied to the nonlinear space-time fractional derivatives KleinGordon equation. This method introduces a promising tool for solving many space-time fractional partial differential equations. This method is efficient and powerful in solving wide classes of nonlinear evolution fractional order equations. 相似文献
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Antonio Zecca 《International Journal of Theoretical Physics》2007,46(4):1045-1054
A two spinor lagrangian formulation of field equations for massive particle of arbitrary spin is proposed in a curved space-time
with torsion. The interaction between fields and torsion is expressed by generalizing the situation of the Dirac equation.
The resulting field equations are different (except for the spin-1/2 case) from those obtained by promoting the covariant
derivatives of the torsion free equations to include torsion. The non linearity of the equations, that is induced by torsion,
can be interpreted as a self-interaction of the particle. The spin-1 and spin-3/2 cases are studied with some details by translating
into tensor form. There result the Proca and Rarita-Schwinger field equations with torsion, respectively.
PACS numbers: 03.65.Pm; 04.20.Cv; 04.20.Fy. 相似文献
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空间-时间守恒(STC)格式是近年来发展出的一种计算格式,在现有的STC格式构造过程中,流动变量在解元中的分布都用其一阶Taylor展开式来表示.STC格式的精度与所采用的Taylor展开式的阶数有关.该文采用流动变量的二阶Taylor展开式来表示其在解元上的分布、构造出了求解一维Euler方程的STC格式.用该格式对几个问题进行了计算,将计算结果与精确解进行了比较,比较表明该格式有较高的精度. 相似文献
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Peter O'Donnell 《General Relativity and Gravitation》2004,36(6):1415-1422
The spin coefficient form of the Weyl–Lanczos equations is analysed for the Schwarzschild space-time. The solution obtained yields an alternative form of Lanczos coefficients to the one currently known for this particular metric. 相似文献
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G. S. Asanov 《Russian Physics Journal》1981,24(2):164-167
It is shown that the equations of the gravitational field in 1-form Finslerian space-time imply that the streamlines of an incoherent fluid are Finslerian geodesics.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 70–74, February, 1981. 相似文献
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The null geodesics are investigated in a class of open space-time homogeneous cosmological models with rotating sheared matter (Ozsváth classIII). Gödel's model is a special case. A stationary polar coordinate system is employed in which matter rotates rigidly. The geodesic equations are solved. Caustics and global rotation are discussed. 相似文献