共查询到14条相似文献,搜索用时 78 毫秒
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Kolahal Bhattacharya 《Journal of Electrostatics》2013,71(5):926-930
We propose a novel variational principle in electrostatics and show that one can derive mirror equation in the context of image problem starting from this principle. 相似文献
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A new orthogonality relationship for orthotropic thin plate theory and its variational principle 总被引:2,自引:0,他引:2
LUO Jianhui LONG Yuqiu & LIU Guangdong . College of Civil Engineering Hunan University Changsha China . Department of Civil Engineering Tsinghua University Beijing China 《中国科学G辑(英文版)》2005,48(3):371-380
While Hamiltonian system was led to solution of elastic theory a symplectic system-atic methodology for theory of elasticity was established and a symplectic orthogonality relationship was presented[1,2]. For two-dimensional theory of elasticity a new dual vec-tor and a new dual differential matrix were presented by putting the old dual vector[1] in a new order. It was discovered for isotropic materials that the symplectic orthogonality relationship may be decomposed into two independent and s… 相似文献
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Projection operators are incorporated in the canonical transformation to derive an analytical infinite series of a degenerate perturbation expansion. The theory is used to calculate the ground state energy of a half-filled s-band Hubbard model to seventh order. 相似文献
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Physics of Atomic Nuclei - We discuss applications of the method based on the variational perturbation theory to perform calculations down to the lowest energy scale. The variational series is... 相似文献
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传统量子系统的哈密顿是自伴算子,哈密顿的自伴性不仅保证系统遵循酉演化和保持概率守恒,而且也保证了它自身具有实的能量本征值,这类系统称为自伴量子系统.然而,确实存在一些物理系统(如PT-对称量子系统),其哈密顿不是自伴的,这类系统称为非自伴量子系统.为了深入研究PT-对称量子系统,并考虑到算子PT的共轭线性性,首先讨论了共轭线性算子的一些性质,包括它们的矩阵表示和谱结构等;其次,分别研究了具有共轭线性对称性和完整共轭线性对称性的线性算子,通过它们的矩阵表示,给出了共轭线性对称性和完整共轭线性对称性的等价刻画;作为应用,得到了关于PT-对称及完整PT-对称算子的一些有趣性质,并通过一些具体例子,说明了完整PT-对称性对张量积运算不具有封闭性,同时说明了完整PT-对称性既不是哈密顿算子在某个正定内积下自伴的充分条件,也不是必要条件. 相似文献
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The Bogolyubov variational principle for classical systems is used to obtain the variation equation for a self-consistent field. With the help of this equation, various approximations of the self-consistent field method in the theory of a crystal with a multiparticle interaction are studied. The free energy of the crystal is calculated. 相似文献
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Discrete variational principle and first integrals for Lagrange--Maxwell mechanico-electrical systems 下载免费PDF全文
This paper presents a discrete variational principle and a method to
build first-integrals for finite dimensional Lagrange--Maxwell
mechanico-electrical systems with nonconservative forces and a
dissipation function. The discrete variational principle and the
corresponding Euler--Lagrange equations are derived from a discrete
action associated to these systems. The first-integrals are obtained
by introducing the infinitesimal transformation with respect to the
generalized coordinates and electric quantities of the systems. This
work also extends discrete Noether symmetries to mechanico-electrical
dynamical systems. A practical example is presented to illustrate the
results. 相似文献