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A quantum model with one fermionic degree of freedom is discussed in detail. The operator action of the model has local operator
gauge symmetry. A group of constrains on operator gauge potentialB
0 and gauge transformation operatorU from some physical requirement are obtained. The Euler-Lagrange equation of motion of fermionic operator φ is just the usual
equation of motion of fermion type. And the Euler-Lagrange equation of motion of operator gauge potentialB
0 is just a constraint, which is just. the canonical quantization condition of fermion. 相似文献
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A. Ceylan Çöken Ahmet Yücesan 《Journal of Mathematical Analysis and Applications》2006,315(1):367-378
In this work, we derive the Euler-Lagrange equation for an elastic line which is lying on a pseudo-hypersurface in pseudo-Euclidean spaces . Following this, we check the solutions which depend on the boundary conditions whether they are geodesic on a pseudo-hypersurface or not. The relaxed elastic line on a pseudo-hyperplane, a pseudo-hypersphere, and pseudo-hyperbolic space is a geodesic. However, the relaxed elastic line on a pseudo-hypercylinder, is a space-like geodesic. 相似文献
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The paper investigates the benefits of implementing the semiactive control systems in relation to passive viscous damping
in the context of seismically isolated structures. Frequency response functions are compiled from the computed time history
response to pulse-like seismic excitation. A simple semiactive control policy is evaluated in regard to passive linear viscous
damping and an optimal non-causal semiactive control strategy. The optimal control strategy minimizes the integral of the
squared absolute accelerations subject to the constraint that the nonlinear equations of motion are satisfied. The optimization
procedure involves a numerical solution to the Euler-Lagrange equations
Published in Prikladnaya Mekhanika, Vol. 42, No. 2, pp. 129–135, February 2006. 相似文献
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张石生 《应用数学和力学(英文版)》2011,32(5):663-676
The generalized stability of the Euler-Lagrange quadratic mappings in the framework of non-Archimedean random normed spaces
is proved. The interdisciplinary relation among the theory of random spaces, the theory of non-Archimedean spaces, and the
theory of functional equations is presented. 相似文献
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用ghost-fluid Euler-Lagrange(GEL)耦合数值方法,对二维GEL计算程序(其中Euler流场计算采用以SCB格式编制的二阶计算程序,Lagrange域计算采用DEFEL二维动力有限元程序)进行扩展,将程序应用于多界面问题.算例为空气和水的一维双界面黎曼问题,获得了密度、速度和压力结果,并通过i... 相似文献
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扰动Boussinesq方程的近似守恒律 总被引:1,自引:1,他引:0
构造了具有扰动项的Boussinesq方程的近似守恒向量和近似守恒律.在方程允许拉格朗日函数的情况下,利用欧拉方程的部分拉格朗日函数方法,研究了含有一阶线性组合扰动项的Boussineq方程的近似守恒律.给出了该方程的近似守恒向量及近似守恒律的分类结果. 相似文献
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In this paper, we consider charged accelerating AdS black holes with nonlinear electromagnetic source. The metric chosen by us is of a regular black hole, which shows regular nature at poles and a conical effect, which corresponds to a cosmic string. In such a space time construction of the Lagrangian for a charged particle is done. Cyclic coordinates as well as the corresponding symmetry generators, i.e., the Killing vectors are found. Conservation laws corresponding to the symmetries are counted. Euler-Lagrange equations are found. The orbit is mainly taken to be a circular one and effective potential is found. The minimum velocity obtained by a particle to escape from innermost stable circular orbit is found. The value of this escape velocity is plotted with respect to the radius of the event horizon of the central black hole for different parametric values. The nature of the escape velocity is studied when the central object is working with gravitational force and charge simultaneously. Effective potential and effective force are also plotted. The range of radius of event horizon for which the effective force turns to be positive is found out. A pathway of future studies of accretion disc around such black holes is made. 相似文献