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Consistent Quantum Theory
Quantum mechanics is one of the most fundamental yet difficult subjects in physics. Nonrelativistic quantum theory is presented here in a clear and systematic fashion, integrating Born's probabilistic interpretation with Schrödinger dynamics. Basic quantum principles are illustrated with simple examples requiring no mathematics beyond linear algebra and elementary probability theory. The quantum measurement process is consistently analyzed using fundamental quantum principles without referring to measurement. These same principles are used to resolve several of the paradoxes that have long perplexed physicists, including the double slit and Schrödinger's cat. The consistent histories formalism used here was first introduced by the author, and extended by M. Gell-Mann, J. Hartle and R. Omnès. Essential for researchers yet accessible to advanced undergraduate students in physics, chemistry, mathematics, and computer science, this book is supplementary to standard textbooks. It will also be of interest to physicists and philosophers working on the foundations of quantum mechanics.
Exact Space-Times in Einstein's General Relativity
Einstein's theory of general relativity is a theory of gravity and, as in the earlier Newtonian theory, much can be learnt about the character of gravitation and its effects by investigating particular idealised examples. This book describes the basic solutions of Einstein's equations with a particular emphasis on what they mean, both geometrically and physically. Concepts such as big bang and big crunch-types of singularities, different kinds of horizons and gravitational waves, are described in the context of the particular space-times in which they naturally arise. These notions are initially introduced using the most simple and symmetric cases. Various important coordinate forms of each solution are presented, thus enabling the global structure of the corresponding space-time and its other properties to be analysed. The book is an invaluable resource both for graduate students and academic researchers working in gravitational physics.
Quantum Computation and Quantum Information
One of the most cited books in physics of all time, Quantum Computation and Quantum Information remains the best textbook in this exciting field of science. This 10th anniversary edition includes an introduction from the authors setting the work in context. This comprehensive textbook describes such remarkable effects as fast quantum algorithms, quantum teleportation, quantum cryptography and quantum error-correction. Quantum mechanics and computer science are introduced before moving on to describe what a quantum computer is, how it can be used to solve problems faster than 'classical' computers and its real-world implementation. It concludes with an in-depth treatment of quantum information. Containing a wealth of figures and exercises, this well-known textbook is ideal for courses on the subject, and will interest beginning graduate students and researchers in physics, computer science, mathematics, and electrical engineering.
Exterior Differential Systems
This book gives a treatment of exterior differential systems. It will in clude both the general theory and various applications. An exterior differential system is a system of equations on a manifold defined by equating to zero a number of exterior differential forms. When all the forms are linear, it is called a pfaffian system. Our object is to study its integral manifolds, i. e. , submanifolds satisfying all the equations of the system. A fundamental fact is that every equation implies the one obtained by exterior differentiation, so that the complete set of equations associated to an exterior differential system constitutes a differential ideal in the algebra of all smooth forms. Thus th...
Introduction to Electrodynamics
This is a re-issued and affordable printing of the widely used undergraduate electrodynamics textbook.
Deconstructing Health Inequity
This book offers a radically different perspective on the topic of health inequity. Carey, Tai, and Griffiths use Perceptual Control Theory (PCT) to deconstruct current approaches to understanding, investigating, and addressing problems of health inequity. In the book, the authors propose that health inequity is not a problem per se. Disrupted control, they argue, is the problem that needs to be addressed. From this perspective, research, policy, and health practices directed at addressing health inequity in isolation will offer only partial solutions to the problems created by disrupted control. Addressing problems of disrupted control directly, however, has the potential to entirely resolv...
Quantum Physics and Theology
Despite the differences of their subject matter, science and theology have a cousinly relationship, John Polkinghorne contends in his latest thought-provoking book. From his unique perspective as both theoretical physicist and Anglican priest, Polkinghorne considers aspects of quantum physics and theology and demonstrates that the two truth-seeking enterprises are engaged in analogous rational techniques of inquiry. His exploration of the deep connections between science and theology shows with new clarity a common kinship in the search for truth. The author identifies and explores key similarities in quantum physics and Christology. Among the many parallels he identifies are patterns of historical development in quantum physics and in Christology; wrestling with perplexities such as quantum interpretation and the problem of evil; and the drive for an overarching view in the Grand Unified Theories of physics and in Trinitarian theology. Both theology and science are propelled by a desire to understand the world through experienced reality, and Polkinghorne explains that their viewpoints are by no means mutually exclusive.
What Emotions Really Are
Paul E. Griffiths argues that most research on the emotions has been as misguided as Aristotelian efforts to study "superlunary objects" - objects outside the moon's orbit. Such subjects exist, of course, but studying them as a group produces no useful results because they share no traits other than an arbitrarily defined location. Similarly, Griffiths show that "emotion", as currently defined, groups together psychological states of very different, and thus not comparable, kinds. According to Griffiths, theoretical research on emotions took a wrong turn by not fully exploring the relevant empirical evidence. Griffiths provides a detailed overview of this material, drawing on ethology, evolutionary biology, neuroscience, cognitive psychology, and anthropology of the emotions. He identifies and assesses the relative merits of three main theoretical approaches - affect program theory, evolutionary psychology, and social constructionism.
Geometry of Quantum States
This new edition describes the space of quantum states and the theory of quantum entanglement from a geometric perspective.
