Methods in Computational Physics, Volume 10: Atomic and Molecular Scattering presents the digital methods used in producing quantitative results from the theory of atomic and molecular scattering. This volume contains seven chapters that specifically consider the methods that produce quantum mechanical wavefunctions from which cross sections are deduced. Chapter 1 covers the solutions of the systems of coupled integro-differential equations using the Hartree and Hartree-Fock methods for atomic structure calculations and the eigenfunction expansion method for electron-atom collision calculations. Chapter 2 treats the translation of the formal results into a generally applicable, efficient, and numerically stable method for solving quantum-mechanical scattering problems. Chapter 3 discusses the exponential method of solution as applied in inelastic scattering, the reaction coordinates for a collinear reactive system, and the modifications of the computational method required for reactive scattering. Chapter 4 outlines the theory and the calculational techniques involved in the use of algebraic expansions in scattering problems, while Chapter 5 deals with the solution of the close-coupled equations. Chapter 6 evaluates the collision between two quantum-mechanical systems with internal structure using the quantum-mechanical operator equations. Lastly, Chapter 7 focuses on the principles and applications of classical trajectory methods.
Methods in Computational Physics, Volume 14: Radio Astronomy is devoted to the role of the digital computer both as a control device and as a calculator in addressing problems related to galactic radio noise. This volume contains four chapters and begins with a technical description of the hardware and the special data-handling problems of using radioheliography, with an emphasis on a selection of observational results obtained with the Culgoora radioheliograph and their significance to solar physics and to astrophysics in general. The subsequent chapter examines interstellar dispersion, its influence on time resolution, methods for its measurement, and removing its effect. This chapter also outlines resolution and sampling problems, as well as the computation of the average pulse profile. This chapter surveys also the intensity variations over time scales from microseconds to millions of years and over radio frequency ranges from 40 MHz to 10 GHz. Another chapter highlights the special case of rotational aperture synthesis and its problems, followed by a presentation of data processing necessary to convert the parameters observed with an aperture synthesis telescope into an intensity distribution of part of the sky. The last chapter discusses some data-acquisition and data reduction techniques, as well as some selected problems in data interpretation in spectral-line radio astronomy. This book will be of great importance to geoscientists, physicists, and mathematicians.
Methods in Computational Physics, Volume 10: Atomic and Molecular Scattering presents the digital methods used in producing quantitative results from the theory of atomic and molecular scattering. This volume contains seven chapters that specifically consider the methods that produce quantum mechanical wavefunctions from which cross sections are deduced. Chapter 1 covers the solutions of the systems of coupled integro-differential equations using the Hartree and Hartree-Fock methods for atomic structure calculations and the eigenfunction expansion method for electron-atom collision calculations. Chapter 2 treats the translation of the formal results into a generally applicable, efficient, and numerically stable method for solving quantum-mechanical scattering problems. Chapter 3 discusses the exponential method of solution as applied in inelastic scattering, the reaction coordinates for a collinear reactive system, and the modifications of the computational method required for reactive scattering. Chapter 4 outlines the theory and the calculational techniques involved in the use of algebraic expansions in scattering problems, while Chapter 5 deals with the solution of the close-coupled equations. Chapter 6 evaluates the collision between two quantum-mechanical systems with internal structure using the quantum-mechanical operator equations. Lastly, Chapter 7 focuses on the principles and applications of classical trajectory methods.
Methods in Computational Physics, Volume 14: Radio Astronomy is devoted to the role of the digital computer both as a control device and as a calculator in addressing problems related to galactic radio noise. This volume contains four chapters and begins with a technical description of the hardware and the special data-handling problems of using radioheliography, with an emphasis on a selection of observational results obtained with the Culgoora radioheliograph and their significance to solar physics and to astrophysics in general. The subsequent chapter examines interstellar dispersion, its influence on time resolution, methods for its measurement, and removing its effect. This chapter also outlines resolution and sampling problems, as well as the computation of the average pulse profile. This chapter surveys also the intensity variations over time scales from microseconds to millions of years and over radio frequency ranges from 40 MHz to 10 GHz. Another chapter highlights the special case of rotational aperture synthesis and its problems, followed by a presentation of data processing necessary to convert the parameters observed with an aperture synthesis telescope into an intensity distribution of part of the sky. The last chapter discusses some data-acquisition and data reduction techniques, as well as some selected problems in data interpretation in spectral-line radio astronomy. This book will be of great importance to geoscientists, physicists, and mathematicians.