A dominant feature of our ordinary experience of the world is a sense of irreversible change: things lose form, people grow old, energy dissipates. On the other hand, a major conceptual scheme we use to describe the natural world, molecular dynamics, has reversibility at its core. The need to harmonize conceptual schemes and experience leads to several questions, one of which is the focus of this book. How does irreversibility at the macroscopic level emerge from the reversibility that prevails at the molecular level? Attempts to explain the emergence have emphasized probability, and assigned different probabilities to the forward and reversed directions of processes so that one direction is far more probable than the other. The conclu­ sion is promising, but the reasons for it have been obscure. In many cases the aim has been to find an explana­ tion in the nature of probability itself. Reactions to that have been divided: some think the aim is justified while others think it is absurd.

Providing the quantum-mechanical foundations of chemical bonding, this unique textbook emphasizes key concepts such as superposition, degeneracy of states and the role of the electron spin. These quantum mechanical notions are usually oversimplified or meticulously circumvented in other books, to the frustration of serious readers who want to understand, for example, why two protons can be stably bound with only one electron to make the simplest molecule H2+. An initial, concise and compact presentation of the rudiments of quantum mechanics enables readers to progress through the book with a firm grounding. Experimental examples are included to illustrate how the abstract concepts are manifest in real systems.

Written in a clear pedagogic style, this book deals with the application of density matrix theory to atomic and molecular physics. The aim is to precisely characterize sates by a vector and to construct general formulas and proofs of general theorems. The basic concepts and quantum mechanical fundamentals (reduced density matrices, entanglement, quantum correlations) are discussed in a comprehensive way. The discussion leads up to applications like coherence and orientation effects in atoms and molecules, decoherence and relaxation processes. This third edition has been updated and extended throughout and contains a completely new chapter exploring nonseparability and entanglement in two-particle spin-1/2 systems. The text discusses recent studies in atomic and molecular reactions. A new chapter explores nonseparability and entanglement in two-particle spin-1/2 systems.

This new edition of the well-received introduction to solid-state physics provides a comprehensive overview of the basic theoretical and experimental concepts of materials science. Experimental aspects and laboratory details are highlighted in separate panels that enrich text and emphasize recent developments.

From the early examples of what was to be called MRI, extending the te- nique to higher fields than those of less than 0. 1 T used in the first large-volume instruments was a goal, but the way there was unclear. The practical success of large superconducting magnets was a surprise, and the astonishment continued as they developed fields from 0. 3 T to 0. 6 T to 1. 5 T, and even more, up to the now common 3T systems, and a few 4T machines, and now to about 100 times the fields used in the first medium- and large-bore devices. In the early machines, low radiofrequencies of 4 MHz or so meant that RF coil designs were simple (even inexperienced undergraduates could design and build such circuits with little knowledge of more than DC electrical circuits), and the forces on gradient coils were small. The effects of magnetic susceptibility in- mogeneity in and around the object being imaged were negligible, and RF penet- tion depths were not a problem for human-scale samples. Everything began to change as higher fields and higher frequencies came into use, and the earlier idyllic simplicities began to seem quaint. The trend continued, however, driven by the increased signal-to-noise ratios and the resultant higher resolutions and speed available, and sophisticated engineering became more and more essential, not only for magnets but for gradient systems and radiofrequency transmitters and receivers, but also for better software for modeling and correcting distortions.

The teaching of solid state physics essentially concerns focusing on crystals and their properties. We study crystals and their properties because of the simple and elegant results obtained from the analysis of a spatially periodic system; this is why the analysis can be made considering a small set of atoms that represent the whole system of many particles. In contrast to the formal neat approach to crystals, the study of str- turally disordered condensed systems is somewhat complicated and often leads to relatively imprecise results, not to mention the experimental and computational e?ort involved. As such, almost all university textbooks, - cluding the advanced course books, only brie?y touch on the physics of am- phous systems. In any case, both the fundamental aspect and the ever wider industrial applications have given structurally disordered matter a role that should not be overlooked.

Single-molecule studies constitute a distinguishable category of focused - search in nanoscience and nanotechnology. This book is dedicated to the - troduction of recent advances on single-molecule studies. It will be illustrated that studying single molecules is both intellectually and technologically ch- lenging, and also o?ers vast potential in opening up new scienti?c frontiers.

At the time when increasing numbers of chemists are being attracted by the fascination of supposedly easy computing and associated colourful imaging, this book appears as a counterpoint.

Fluorescence correlation spectroscopy (FCS) was developed in order to char­ acterize the dynamics of molecular processes in systems in thermodynamic equilibrium. FCS determines transport and chemical reaction rates from mea­ surements of spontaneous microscopic thermally driven molecular concentra­ tion fluctuations. Since its inception, and particularly in recent years, techni­ cal and conceptual advances have extended the range of practical applicability and the information obtainable from FCS measurements.

This volume is the outgrowth of a workshop held in October, 2000 at the Institute for Theoretical Atomic and Molecular Physics at the Harvard- Smithsonian Center for Astrophysics in Cambridge, MA. The aim of this book (similar in theme to the workshop) is to present an overview of new directions in antimatter physics and chemistry research. The emphasis is on positron and positronium interactions both with themselves and with ordinary matter. The timeliness of this subject comes from several considerations. New concepts for intense positron sources and the development of positron accumulators and trap-based positron beams provide qualitatively new experimental capabilities. On the theoretical side, the ability to model complex systems and complex processes has increased dramatically in recent years, due in part to progress in computational physics.

In this new textbook on physical chemistry, fundamentals are introduced simply yet in more depth than is common. Topics are arranged in a progressive pattern, with simpler theory early and more complicated theory later. General principles are induced from key experimental results. Some mathematical background is supplied where it would be helpful.

In response to the explosion of theories and experiments since the appearance of the first edition, the author has revised and expanded his basic text. New sections include up-to-date discussions of multiphoton ionization, and electron-atom and atom-atom scattering in laser fields, reaffirming the work's position as the standard introduction to the field.

I would like to present to a wide circle of the readers working in quantum chem- istry and solid-state physics, as ,,·ell as in other fields of many-body physics and its interfaces, this book deyoted to density functional theory written by my colleagues Eugene S. Kryachko and Eduardo Y. Ludena. Their ways to this theory are rather different although basically both of them are quantum chemical. Eugene S. Kryachko came to energy density functional theory from the theory of reduced density matrices, and Eduardo \'. Ludena dewloped earlier the concept of loges in quantum chemistry. Neyertheless, their earlier interests giw the possibility to consolidate and formulate energy density functional theory in a unified and consistent way, in my opinion.

Mathematics is the language of the physical sciences and is essential for a clear understanding of fundamental scientific concepts. The fortuna te fact that the same mathematical ideas appear in a number of distinct scientific areas prompted the format for this book. The mathematical framework for matrices and vectors with emphasis on eigenvalue-eigenvector concepts is introduced and applied to a number of distinct scientific areas. Each· new application then reinforces the applications which preceded it.