Numerical Grid Methods and Their Application to Schrödinger's Equation by C. CerjanNumerical Grid Methods and Their Application to Schrödinger's Equation by C. Cerjan

Numerical Grid Methods and Their Application to Schrödinger's Equation

EditorC. Cerjan

Paperback | December 15, 2010

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This book offers a unique perspective on the rapidly growing field of numerical grid methods applied to the solution of the Schrödinger equation. Several articles provide comprehensive reviews of the discrete variable and pseudo-spectral operator representation. The applications include sophisticated refinements of the basic approaches with emphasis on successful parallel implementation. The range of problems considered is broad including reactive scattering, photoexcitation processes, mixed quantum--classical methodology, and density functional electronic structure calculations. The book thus serves as a direct introduction to numerical grid methods and as a guide to future research.
Title:Numerical Grid Methods and Their Application to Schrödinger's EquationFormat:PaperbackDimensions:262 pagesPublished:December 15, 2010Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:904814308X

ISBN - 13:9789048143085

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Table of Contents

Preface. Fast Pseudospectral Algorithm in Curvilinear Coordinates; G.C. Corey, J.W. Tromp, D. Temoine. The Hyperquantization Algorithm; V. Aquilanti, S. Cavalli, M. Monerville. Quantum Molecular Dynamics and Angular Momentum Projection; J. Broeckhove, L. Lathouwers. Lobatto Shape Functions; D.E. Manolopoulos. An Adiabatic Pseudo-Spectral Representation of Multidimensional Molecualr Potentials; C. Leforestier, R.A. Friesner. Studies of the Quantum Dynamics of Rydberg Electrons in Superintense Laser Fields using Discrete Variable Representations; T.J. Muckerman, R.V. Weaver, T.A.B. Kennedy, T. Uzer. Quantum-Classical Methods; G.D. Billing. The Multi-Configuration Hartree Approach; H.-D. Meyer, U. Manthe, L.S. Cederbaum. Numerical Calculation of Multicentre Integrals for Polyatomic Molecules; C.A. Daul, A. Goursot, D.R. Salahub. The Fourier Method; R. Kosloff. Complex Absorbing Potentials in Time Dependent Quantum Dynamics; G.G. Balint-Kurti, Á. Vibók. Finite Element Method for Quantum Scattering; A. Askar. Index.