3D GL EM and Quantum Mechanical Coupled Modeling for the Nanometer Materials
Description
Abstract— In this paper, we develop a 3D GL EM and quantum mechanical coupled modeling (GLEMQUAN) for studying nanometer materials. We accumulate the EM field energy, quantum energy, and interaction energy into Lagrangian energy in the nanometer material. The variation equation of the Lagrangian energy is the EM and quantum field coupled equations. We propose the GL modeling to solve the EM and quantum field coupled equations. The nanometer material is divided into set of sub-lattices. In the each lattice, the Global EM field and quantum wave function field are successively modified by the local scattering EM and quantum field. When the whole lattice domain is scanned, the GL EM and quantum field solution is obtained. In the GLEMQUAN modeling, there is no big matrix needs to be solved. Also there are no artificial boundary and no error reflection and error dispersion. The synthetic simulations show the GLEMQUAN modeling algorithm is fast, accurate, and very agile. The GLEMQUAN modeling can be used to study optical materials, photosensitivity, photosynthesis, metallography and nanometer materials science and engineering. It is base of the Anisotropic Electromagnetic Invisible GLHUA Cloak, Isotropic Electromagnetic GLHUA Sphere, GLLH EM Invisible Cloak With Novel Front Branching And New GLHUA Photosynthesis Process Equation and Cycle in the Plant Cell Chloroplasts.The nanometer materials have important applications in science and engineering. Their mechanical and electromagnetic (EM) properties are active research projects. The Lagrangian density of the electromagnetic field and the corresponding quantum field energy are expressed as follows: lT = lEM + lQUAN + lINT ;