A definition of the ground state energy for systems composed of infinitely many particles

Blanc X.; Le Bris C.; Lions PL.

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A definition of the ground state energy for systems composed of infinitely many particles

机译：由无限多个粒子组成的系统的基态能量的定义

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We introduce here one possible definition of the energy of an infinite non-periodic system of particles. We investigate the minimization of it, and the link with standard definitions of local ground state for such systems. The specific models under study are issued from Quantum Mechanics (namely from Density-Functional type theories) but our construction and analysis can be adapted to treat other cases. [References: 11]

机译：我们在这里介绍一个无限的非周期性粒子系统的能量的可能定义。我们研究了它的最小化，以及与此类系统的本地基态标准定义的联系。正在研究的特定模型是从量子力学（即从密度泛函类型理论）中发布的，但是我们的构造和分析可以适应其他情况。 [参考：11]

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《Communications in Partial Differential Equations》 |2003年第2期|共37页
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Blanc X.; Le Bris C.; Lions PL.;
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1. A definition of the ground state energy for systems composed of infinitely many particles [J] . Blanc X., Le Bris C., Lions PL. Communications in Partial Differential Equations . 2003,第1a2期

机译：由无限多个粒子组成的系统的基态能量的定义
2. Ground-State Energy and Stability of Three-Particle Coulomb Systems versus the Masses of the Particles Involved [J] . T. K. Rebane, A. V. Filinsky Physics of atomic nuclei . 2002,第1期

机译：三粒子库仑系统的基态能量和稳定性与所涉及粒子的质量的关系
3. Infinite Coordination Polymer Particles Composed of Stimuli Responsive Coordination Complex Subunits [J] . dAquino Andrea I., Kean Zachary S., Mirkin Chad A. Chemistry of Materials: A Publication of the American Chemistry Society . 2017,第24期

机译：无限配位聚合物颗粒由刺激响应协调复合亚基组成
4. ELECTRICAL PROPERTIES OF FILM AND LITHIUM ION BATTERY COMPOSED OF NATURAL GRAPHITE PARTICLES GROUND UNDER VARIOUS ATMOSPHERES [C] . Y. Kuga, A. Ueda, Y. Ohira, Carbon '01 . 2001

机译：各种气氛下天然石墨颗粒组成的薄膜和锂离子电池的电学性质
5. Poisson stochastic analysis : infinite Markov particle systems and their applications [D] . 平場誠示. 1995

机译：泊松随机分析：无限马尔可夫粒子系统及其应用
6. On the Definition of Energy Flux in One-Dimensional Chains of Particles [O] . Paolo De Gregorio 2019

机译：关于粒子一维链中能量通量的定义
7. A Study about the Trajectory of Granular Particles in a Free Jet and their Deposition Profile on the Ground-In the case of handling of Granular Materials Composed of Various Particles with Different [O] . Hideo HIRANO, Takeshi KANO, Yoshitaka NAKATANI, 1977

机译：关于自由喷射颗粒的轨迹及其在地面上的沉积轮廓的轨迹研究 - 在不同颗粒组成的颗粒材料的情况下
8. Perturbation Theory Approach to the Ground State Energy in an Infinite Fermion System [R] . Baker, G. A. 1981

机译：无限费米子系统中基态能量的微扰理论方法

A definition of the ground state energy for systems composed of infinitely many particles

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