James R. Chelikowsky – Författare

Quantum Theory of Real Materials is a collection of articles by leading researchers in condensed matter physics, highlighting recent advances in the use of quantum theory to explain and predict the properties of real materials. Quantum Theory of Real Materials covers the many exciting developments at the forefront of quantum theory of materials research. The volume is divided into six major sections covering electronic structure and quantum dynamics; semiconductors, insulators and metals; surfaces, interfaces and clusters; materials under pressure; superconductivity; and fullerenes, superhard materials and other novel materials. Quantum Theory of Real Materials is an excellent resource for researchers interested in learning about the most advanced discoveries in quantum theory of materials and applying that knowledge in the laboratory. Students will also find this volume to be a clear introduction and reference.

A Festschrift in honor of Professor Marvin L. Cohen This volume is a Festschrift in honor of Professor Marvin L. Cohen. The articles, contributed by leading researchers in condensed matter physics, high-light recent advances in the use of quantum theory to explain and predict properties of real materials. The invention of quantum mechanics in the 1920's provided detailed descriptions of the electronic structure of atoms. However, a similar understanding of solids has been achieved only in the past 30 years, owing to the complex electron-ion and electron­ electron interactions in these systems. Professor Cohen is a central figure in this achievement. His development of the pseudopotential and total energy methods provided an alternate route using computers for the exploration of solids and new materials even when they have not yet been synthesized. Professor Cohen's contributions to materials theory have been both fundamental and encompassing. The corpus of his work consists of over 500 papers and a textbook. His band structures for semiconductors are used worldwide by researchers in solid state physics and chemistry and by device engineers. Professor Cohen's own use of his theories has resulted in the determination of the electronic structure, optical properties, structural and vibrational properties, and superconducting properties of numerous condensed matter systems including semiconductors, metals, surfaces, interfaces, defects in solids, clusters, and novel materials such as the fullerides and nanotubes.

Presents a unique approach to grasping the concepts of quantum theory with a focus on atoms, clusters, and crystals Quantum theory of atoms and molecules is vitally important in molecular physics, materials science, nanoscience, solid state physics and many related fields. Introductory Quantum Mechanics with MATLAB is designed to be an accessible guide to quantum theory and its applications. The textbook uses the popular MATLAB programming language for the analytical and numerical solution of quantum mechanical problems, with a particular focus on clusters and assemblies of atoms. The textbook is written by a noted researcher and expert on the topic who introduces density functional theory, variational calculus and other practice-proven methods for the solution of quantum-mechanical problems. This important guide: -Presents the material in a didactical manner to help students grasp the concepts and applications of quantum theory -Covers a wealth of cutting-edge topics such as clusters, nanocrystals, transitions and organic molecules -Offers MATLAB codes to solve real-life quantum mechanical problems Written for master's and PhD students in physics, chemistry, material science, and engineering sciences, Introductory Quantum Mechanics with MATLAB contains an accessible approach to understanding the concepts of quantum theory applied to atoms, clusters, and crystals.

We began planning and writing this book in thc late 1970$ at thc ugge s stion of Manuel Cardona and Helmut Latsch. We also received considerable eo- couragement and stimulation from colleagues. Same said there was a need for instructional material in tbis area while others emphasized thc utility of a research text. We tried to strike a compromise. Thc figures, tables, and rcferences are included to enable researchcrs to obt81o quickly essential information in this area of semiconductor research. For instructoTS and stu- dents, we attempt to cover same basic ideas abaut electronic structure and semiconductor physics with applications to real, rather than model, solids. ~Ve \Vish to thank our colleagues and collaborators whose research rc- sults and ideas are presented here. Special thanks are duc to Jim Phillips who illfluellced lIS hoth during ollr formative )'ears and afterwards. We are grateful to Sari Yamagishi for her patience and skill with the typing and production of the manuscript. Finally, we acknowledge the great patience of Helmut Lotsch and Manucl Cardona. llerkeley, CA M.L. Gehen ~*[inncapolis, MN, J.R, Chelikew"ky March 1988 VII Contents 1. Introduction 1 2.Theoretical Concepts and Methods ...4 2.1 Thc One-Electron Model and Band Structure 7 2.2 Properties cf En(k) ...11 3. Pseudopotentials 16 3.1 The Empirical Pseudopotential Method ...20 3.2 Self-Consistent and Ab Initio Pseudopotentials ...25 4. Response Functiolls and Density of States ...