This book introduces the finite element and boundary element methods (FEM & 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.
"... well structured and remarkably comprehensive..." John Pask, Lawrence Livermore National Laboratory, CA "... an excellent textbook to introduce FEM and BEM to students..." Shun-Lien Chua ng, University of Illinois at Urbana-Champaign "... opens new ground for physicists, particularly those interested in condensed matter physics and chemistry..." A.K. Rajagopal, Naval Research Laboratory, Washington D.C.
Series: Oxford Texts in Applied and Engineering Mathematics
Number Of Pages: 624
Published: 1st June 2002
Publisher: Oxford University Press
Country of Publication: GB
Dimensions (cm): 24.1 x 16.1 x 3.7
Weight (kg): 0.96