A description of general techniques for solving linear partial differential equations by dividing space into regions to which the equations are independently applied and then assembling a global solution from the partial ones. Intended for researchers and graduates involved in calculations of the electronic structure of materials, this will also be of interest to workers in quantum chemistry, electron microscopy, acoustics, optics, and other fields. The book begins with an intuitive approach to scattering theory and then turns to partial waves and a formal development of multiple scattering theory, with applications to the solid state. The authors then present a variational derivation of the formalism and an augmented version of the theory, concluding with a discussion of the relativistic formalism and a discussion of the Poisson equation. Appendices discuss Green's functions, spherical functions, Moller operators and the Lippmann-Schwinger equation, irregular solutions, and singularities in Green's functions.

This book assesses the Collaborative Forest Landscape Restoration Program (CFLRP) and identifies lessons learned for governance and policy through this new and innovative approach to collaborative forest management. Unlike anything else in US public land management, the CFLRP is a nationwide program that requires collaboration throughout the life of national forest restoration projects, joining agency partners and local stakeholder groups in a kind of decade-long restoration marriage. This book provides a comprehensive assessment of the governance dynamics of the program, examining: questions about collaborative governance processes and the dynamics of trust, accountability and capacity; how scientific information is used in making decisions and integrated into adaptive management processes; and the topic of collaboration through implementation, an underdeveloped area of collaborative governance literature. Bringing together chapters from a community of social science and policy researchers who have conducted studies across multiple CFLRP projects, this volume generates insights, not just about the program, but also about dynamics that are central to collaborative and landscape approaches to land management and relevant for broader practice. This volume is a timely and important contribution to environmental governance scholarship. It will be of interest to researchers and students of natural resource management, environmental governance, and forestry, as well as practitioners and policy makers involved in forest and ecosystem restoration efforts, and collaborative natural resource management more broadly.

This book assesses the Collaborative Forest Landscape Restoration Program (CFLRP) and identifies lessons learned for governance and policy through this new and innovative approach to collaborative forest management. Unlike anything else in US public land management, the CFLRP is a nationwide program that requires collaboration throughout the life of national forest restoration projects, joining agency partners and local stakeholder groups in a kind of decade-long restoration marriage. This book provides a comprehensive assessment of the governance dynamics of the program, examining: questions about collaborative governance processes and the dynamics of trust, accountability and capacity; how scientific information is used in making decisions and integrated into adaptive management processes; and the topic of collaboration through implementation, an underdeveloped area of collaborative governance literature. Bringing together chapters from a community of social science and policy researchers who have conducted studies across multiple CFLRP projects, this volume generates insights, not just about the program, but also about dynamics that are central to collaborative and landscape approaches to land management and relevant for broader practice. This volume is a timely and important contribution to environmental governance scholarship. It will be of interest to researchers and students of natural resource management, environmental governance, and forestry, as well as practitioners and policy makers involved in forest and ecosystem restoration efforts, and collaborative natural resource management more broadly.

A description of general techniques for solving linear partial differential equations by dividing space into regions to which the equations are independently applied and then assembling a global solution from the partial ones. Intended for researchers and graduates involved in calculations of the electronic structure of materials, this will also be of interest to workers in quantum chemistry, electron microscopy, acoustics, optics, and other fields. The book begins with an intuitive approach to scattering theory and then turns to partial waves and a formal development of multiple scattering theory, with applications to the solid state. The authors then present a variational derivation of the formalism and an augmented version of the theory, concluding with a discussion of the relativistic formalism and a discussion of the Poisson equation. Appendices discuss Green's functions, spherical functions, Moller operators and the Lippmann-Schwinger equation, irregular solutions, and singularities in Green's functions.