Concepts Of Mathematical Physics In Chemistry A Tribute To Frank E Harris Part A

Concepts of Mathematical Physics in Chemistry: A Tribute to Frank E. Harris - Part B, presents a series of articles concerning important topics in quantum chemistry, including surveys of current topics in this rapidly-developing field that has emerged at the cross section of the historically established areas of mathematics, physics, chemistry, and biology. Presents surveys of current topics in this rapidly-developing field that has emerged at the cross section of the historically established areas of mathematics, physics, chemistry, and biology Features detailed reviews written by leading international researchers

This volume presents a series of articles concerning current important topics in quantum chemistry.

This volume presents a series of articles concerning current important topics in quantum chemistry. Presents surveys of current topics in this rapidly-developing field that has emerged at the cross section of the historically established areas of mathematics, physics, chemistry, and biology Features detailed reviews written by leading international researchers

Advances in Quantum Chemistry, Volume 77, presents surveys of current topics in this rapidly developing field, one that has emerged at the cross section of the historically established areas of mathematics, physics, chemistry and biology. It features detailed reviews written by leading international researchers, with this release focusing on topics such as Per-Olov Löwdin's Impact on a 'Lost Son', Electron impact ionization cross sections for inner L- and M-subshells of atomic targets at relativistic energies, Aromaticity Revisited, Electron-atom and electron-molecule resonances, Precise Born-Oppenheimer potentials of the excited states of H_2 using explicitly correlated exponential functions, and more. Presents surveys of current topics in this rapidly-developing field that has emerged at the cross section of the historically established areas of mathematics, physics, chemistry and biology Features detailed reviews written by leading international researchers

Jack Sabin, Scientist and Friend, Volume 85 in the Advances in Quantum Chemistry series, highlights new advances in the field, with chapters in this new release including: Elastic scattering of electrons and positrons from alkali atoms, Dissipative dynamics in many-atom systems, Shape sensitive Raman scattering from Nano-particles, Experience in E-learning and Artificial Intelligence, Structure and Correlation of Charges in a Harmonic Trap, Simulation of Molecular Spectroscopy in Binary Solvents, Approach for Orbital and Total Mean Excitation Energies of Atoms, and A New Generation of Quasiparticle Self-Energies. Additional sections cover: The stopping power of relativistic targets, Density functional methods for extended helical systems, Inspecting nlm-distributions due to charge exchange collisions of bare ions with hydrogen, Long-lived molecular dications: a selected probe for double ionization, and much more. Provides the authority and expertise of leading contributors from an international board of authors Presents the latest release in Advances in Quantum Chemistry serials Updated release includes the latest information on Jack Sabin, Scientist and Friend

This contributed volume honors the 80th birthday of Frank Stenger who established new Sinc methods in numerical analysis.The contributions, written independently from each other, show the new developments in numerical analysis in connection with Sinc methods and approximations of solutions for differential equations, boundary value problems, integral equations, integrals, linear transforms, eigenvalue problems, polynomial approximations, computations on polyhedra, and many applications. The approximation methods are exponentially converging compared with standard methods and save resources in computation. They are applicable in many fields of science including mathematics, physics, and engineering.The ideas discussed serve as a starting point in many different directions in numerical analysis research and applications which will lead to new and unprecedented results. This book will appeal to a wide readership, from students to specialized experts.

The purpose of this volume is to explore new bridges between different research areas involved in the theory and applications of the fractional calculus. In particular, it collects scientific and original contributions to the development of the theory of nonlocal and fractional operators. Special attention is given to the applications in mathematical physics, as well as in probability. Numerical methods aimed to the solution of problems with fractional differential equations are also treated in the book. The contributions have been presented during the international workshop "Nonlocal and Fractional Operators", held in Sapienza University of Rome, in April 2019, and dedicated to the retirement of Prof. Renato Spigler (University Roma Tre). Therefore we also wish to dedicate this volume to this occasion, in order to celebrate his scientific contributions in the field of numerical analysis and fractional calculus. The book is suitable for mathematicians, physicists and applied scientists interested in the various aspects of fractional calculus.

Table of Contents Mathematical Preliminaries Determinants and Matrices Vector Analysis Tensors and Differential Forms Vector Spaces Eigenvalue Problems Ordinary Differential Equations Partial Differential Equations Green's Functions Complex Variable Theory Further Topics in Analysis Gamma Function Bessel Functions Legendre Functions Angular Momentum Group Theory More Special Functions Fourier Series Integral Transforms Periodic Systems Integral Equations Mathieu Functions Calculus of Variations Probability and Statistics.