Finite Element And Boundary Element Applications In Quantum Mechanics
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Finite Element and Boundary Element Applications in Quantum Mechanics
Author: L. Ramdas Ram-Mohan
language: en
Publisher: Oxford University Press, USA
Release Date: 2002
This book introduces the finite element and boundary element methods (FEM and BEM) for applications to quantum mechanical systems. A discretization of the action integral with finite elements, followed by application of variational principles, brings a very general approach to the solution of Schroedinger's equation for physical systems in arbitrary geometries with complex mixed boundary conditions. The variational approach is a common thread through the book and is used for the improvement of solutions to spectroscopic accuracy, to adaptively improve finite element meshs, to develop a time-dependent theory, and also to generate the solution of large sparse matrix eigenvalue problems. A thorough introduction to BEM is given using the modelling of surface plasmons, quantum electron waveguides, and quantum scattering as illustrative examples. The book should be useful to graduate students and researchers in basic quantum theory, quantum semiconductor modeling, computational physics, mathematics and chemistry
Optics and Its Applications
This book features selected articles based on contributions presented at the 9th International Symposium on Optics and Its Applications (OPTICS-2022) in Yerevan-Ashtarak, Armenia. The annual OPTICS symposium brings together renowned experts from all over the world working in the fields of atomic optics, plasmonics, optics of nanostructures, as well as the optics of condensed matter, and provides a perfect setting for their discussions of the most recent developments in this area. The 9th iteration in this series, dedicated to the 80th birthday of Academician Eduard Kazaryan, focuses on topics dealing with the spectroscopy of real and artificial atoms, linear and nonlinear optical characteristics of quantum wells, and two-dimensional materials. The book highlights recent results of few-particle optical characteristics of artificial atoms in the framework of the exactly solvable Moshinsky model, as well as an electro-optical analog of the magneto-optical Faraday effect. In addition, a detailed study of the nucleation process, its characterization, as well as electronic and optical properties of graded composition quantum dots in the Stranski−Krastanov growth mode, is presented.
Handbook of Nanostructured Materials and Nanotechnology, Five-Volume Set
Nanostructured materials is one of the hottest and fastest growing areas in today's materials science field, along with the related field of solid state physics. Nanostructured materials and their based technologies have opened up exciting new possibilites for future applications in a number of areas including aerospace, automotive, x-ray technology, batteries, sensors, color imaging, printing, computer chips, medical implants, pharmacy, and cosmetics. The ability to change properties on the atomic level promises a revolution in many realms of science and technology. Thus, this book details the high level of activity and significant findings are available for those involved in research and development in the field. It also covers industrial findings and corporate support. This five-volume set summarizes fundamentals of nano-science in a comprehensive way. The contributors enlisted by the editor are at elite institutions worldwide. Key Features * Provides comprehensive coverage of the dominant technology of the 21st century * Written by 127 authors from 16 countries, making this truly international * First and only reference to cover all aspects of nanostructured materials and nanotechnology