Most of the laws of physics are expressed in the form of differential equations; that is our legacy from Isaac Newton. The customary separation of the laws of nature from contingent boundary or initial conditions, which has become part of our physical intuition, is both based on and expressed in the properties of solutions of differential equations. Within these equations we make a further distinction: that between what in mechanics are called the equations of motion on the one hand and the specific forces and shapes on the other. The latter enter as given functions into the former. In most observations and experiments the "equations of motion," i. e., the structure of the differential equations, are taken for granted and it is the form and the details of the forces that are under investigation. The method by which we learn what the shapes of objects and the forces between them are when they are too small, too large, too remote, or too inaccessi ble for direct experimentation, is to observe their detectable effects. The question then is how to infer these properties from observational data. For the theoreti cal physicist, the calculation of observable consequences from given differential equations with known or assumed forces and shapes or boundary conditions is the standard task of solving a "direct problem. " Comparison of the results with experiments confronts the theoretical predictions with nature."

This text develops quantum theory from its basic assumptions, beginning with statics, followed by dynamics and details of applications and the needed computational techniques. The discussion is based on the view that the fundamental entities of the universe are not particles but fields, with the observed particles arising as their quanta. Quantum fields are thus introduced from the beginning, with a discussion of how they produce quanta that manifest themselves as particles. Most of the book, of course, deals with particle systems, as that is where most of the applications lie; the treatment of quantum field theory is confined to fundamental ideas and their consequences. For developing quantum dynamics, the author uses the Lagrangian technique with the principle of stationary action. The roots of this approach, which includes generating the canonical commutation rules, go back to a course taught by Julian Schwinger, filtered through many years of the author's own teaching. The text emphasizes that the wave function does not exist in physical three-dimensional space, but in configuration space, and it points out that the probabilistic features of the theory arise not from a lack of determinism but from the definition of the "state" of a system, so that many, though not all, of the counterintuitive aspects of quantum mechanics arise from its probabilistic nature and are shared by other probabilistic theories such as classical statistical mechanics. Intended for a graduate-level course in quantum mechanics, the treatment assumes a knowledge of Lagrangian and Hamiltonian mechanics, Maxwell's electrodynamics, special relativity, and the elements of

Develops quantum theory from its basic assumptions, beginning with statics, followed by dynamics and details of applications and the needed computational techniques. Most of the book deals with particle systems, as that is where most of the applications lie; the treatment of quantum field theory is confined to fundamental ideas and their consequences.

Science is about 6000 years old while physics emerged as a distinct branch some 2500 years ago. As scientists discovered virtually countless facts about the world during this great span of time, the manner in which they explained the underlying structure of that world underwent a philosophical evolution. "From Clockwork to Crapshoot" provides the perspective needed to understand contemporary developments in physics in relation to philosophical traditions as far back as ancient Greece.

Roger Newton, whose previous works have been widely praised for erudition and accessibility, presents a history of physics from the early beginning to our day--with the associated mathematics, astronomy, and chemistry. Along the way, he gives brief explanations of the scientific concepts at issue, biographical thumbnail sketches of the protagonists, and descriptions of the changing instruments that enabled scientists to make their discoveries. He traces a profound change from a deterministic explanation of the world--accepted at least since the time of the ancient Greek and Taoist Chinese civilizations--to the notion of probability, enshrined as the very basis of science with the quantum revolution at the beginning of the twentieth century. With this change, Newton finds another fundamental shift in the focus of physicists--from the cause of dynamics or motion to the basic structure of the world. His work identifies what may well be the defining characteristic of physics in the twenty-first century.

Physical scientists are problem solvers. They are comfortable "doing" science: they find problems, solve them, and explain their solutions. Roger Newton believes that his fellow physicists might be too comfortable with their roles as solvers of problems. He argues that physicists should spend more time thinking about physics. If they did, he believes, they would become even more skilled at solving problems and "doing" science. As Newton points out in this thought-provoking book, problem solving is always influenced by the theoretical assumptions of the problem solver. Too often, though, he believes, physicists haven't subjected their assumptions to thorough scrutiny. Newton's goal is to provide a framework within which the fundamental theories of modern physics can be explored, interpreted, and understood.

"Surely physics is more than a collection of experimental results, assembled to satisfy the curiosity of appreciative experts," Newton writes. Physics, according to Newton, has moved beyond the describing and naming of curious phenomena, which is the goal of some other branches of science. Physicists have spent a great part of the twentieth century searching for explanations of experimental findings. Newton agrees that experimental facts are vital to the study of physics, but only because they lead to the development of a theory that can explain them. Facts, he argues, should undergird theory.

Newton's explanatory sweep is both broad and deep. He covers such topics as quantum mechanics, classical mechanics, field theory, thermodynamics, the role of mathematics in physics, and the concepts of probability and causality. For Newton the fundamental entity in quantum theory is the field, from which physicists can explain the particle-like and wave-like properties that are observed in experiments. He grounds his explanations in the quantum field.

Although this is not designed as a stand-alone textbook, it is essential reading for advanced undergraduate students, graduate students, professors, and researchers. This is a clear, concise, up-to-date book about the concepts and theories that underlie the study of contemporary physics. Readers will find that they will become better-informed physicists and, therefore, better thinkers and problem solvers too.

This book aims to describe the scientific concepts of energy. Accessible to readers with no scientific education beyond high-school chemistry, it starts with the basic notion of energy and the fundamental laws that govern it, such as conservation, and explains the various forms of energy, such as electrical, chemical, and nuclear. It then proceeds to describe ways in which energy is stored for very long times in the various fossil fuels (petroleum, gas, coal) as well as for short times (flywheels, pumped storage, batteries, fuel cells, liquid hydrogen). The book also discusses the modes of transport of energy, especially those of electrical energy via lasers and transmission lines, as well as why the latter uses alternating current at high voltages. The altered view of energy introduced by quantum mechanics is also discussed, as well as how almost all the Earth's energy originates from the Sun. Finally, the history of the forms of energy in the course of development of the universe is described, and how this form changed from pure radiation in the aftermath of the Big Bang to the creation of all the chemical elements in the world.

The book consists of two separate parts, the first part is on waves and the second part on particles. In part 1, after describing the awesome power of tsunami and the history of their occurrences, the book turns to the history of explaining phenomena by means of mathematical equations. Then it describes other wave phenomena and the laws governing them: the vibration of strings and drums in musical instruments, the sound waves making them audible, ultrasound and its uses, sonar, and shock waves; electromagnetic waves: light waves, refraction, diffraction, why the sky is blue, the rainbow, and the glory; microwaves and radio waves: radar, radio astronomy, the discovery of the cosmic microwave background radiation, microwave ovens and how a radio works, lasers and masers; waves in modern physics: the Schroedinger wave function and gravitational waves in general relativity; water waves in the ocean, tides and tidal waves, and the quite different solitary waves, solitons discovered in canals. Finally we return to tsunami and the question of what laws govern them. We conclude that the answer to that question is not quite known yet, but there is ongoing research to solve the riddle.In part 2, the history of the idea of atoms is reviewed, and then the scientific evidence for their existence, with Rutherford's discovery of the atomic nucleus. The investigation of what the nucleus is like follows, including the discovery of the neutron, followed by that of the neutrino - of which there are several different kinds - and the muon as well as the pion. The important work of Paul Dirac is described, as well as the discovery of the positron and other antiparticles. The ways by which particles are discovered, by cloud chambers, bubble chambers, etc. are all explained, followed by the invention of the various machines to accelerate particles to high speeds: the cyclotron, the synchrotron, and the bigger and bigger machines, in the US as well as in Switzerland, including their storage rings. The new terminology of fermions and bosons are explained, followed by the remarkable use of group theory and group representations by matrices, whose unfamiliar algebra is carefully explained.

This book aims to describe, for readers uneducated in science, the development of humanity's desire to know and understand the world around us through the various stages of its development to the present, when science is almost universally recognized - at least in the Western world - as the most reliable way of knowing. The book describes the history of the large-scale exploration of the surface of the earth by sea, beginning with the Vikings and the Chinese, and of the unknown interiors of the American and African continents by foot and horseback. After the invention of the telescope, visual exploration of the surfaces of the Moon and Mars were made possible, and finally a visit to the Moon. The book then turns to our legacy from the ancient Greeks of wanting to understand rather than just know, and why the scientific way of understanding is valued. For concreteness, it relates the lives and accomplishments of six great scientists, four from the nineteenth century and two from the twentieth. Finally, the book explains how chemistry came to be seen as the most basic of the sciences, and then how physics became the most fundamental.

This book recalls, for nonscientific readers, the history of quantum mechanics, the main points of its interpretation, and Einstein's objections to it, together with the responses engendered by his arguments. Most popular discussions on the strange aspects of quantum mechanics ignore the fundamental fact that Einstein was correct in his insistence that the theory does not directly describe reality. While that fact does not remove the theory's counterintuitive features, it casts them in a different light.Context is provided by following the history of two central aspects of physics: the elucidation of the basic structure of the world made up of particles, and the explanation, as well as the prediction, of how objects move. This history, prior to quantum mechanics, reveals that whereas theories and discoveries concerning the structure of nature became increasingly realistic, the laws of motion, even as they became more powerful, became more and more abstract and remote from intuitive notions of reality. Newton's laws of motion gained their abstract power by sacrificing direct and intuitive contact with real experience. Arriving 250 years after Newton, the break with a direct description of reality embodied in quantum mechanics was nevertheless profound.

This book recalls, for nonscientific readers, the history of quantum mechanics, the main points of its interpretation, and Einstein's objections to it, together with the responses engendered by his arguments. Most popular discussions on the strange aspects of quantum mechanics ignore the fundamental fact that Einstein was correct in his insistence that the theory does not directly describe reality. While that fact does not remove the theory's counterintuitive features, it casts them in a different light.Context is provided by following the history of two central aspects of physics: the elucidation of the basic structure of the world made up of particles, and the explanation, as well as the prediction, of how objects move. This history, prior to quantum mechanics, reveals that whereas theories and discoveries concerning the structure of nature became increasingly realistic, the laws of motion, even as they became more powerful, became more and more abstract and remote from intuitive notions of reality. Newton's laws of motion gained their abstract power by sacrificing direct and intuitive contact with real experience. Arriving 250 years after Newton, the break with a direct description of reality embodied in quantum mechanics was nevertheless profound.

It's not a scientific truth that has come into question lately but the truth--the very notion of scientific truth. Bringing a reasonable voice to the culture wars that have sprung up around this notion, this book offers a clear and constructive response to those who contend, in parodies, polemics and op-ed pieces, that there really is no such thing as verifiable objective truth--without which there could be no such thing as scientific authority.

A distinguished physicist with a rare gift for making the most complicated scientific ideas comprehensible, Roger Newton gives us a guided tour of the intellectual structure of physical science. From there he conducts us through the understanding of reality engendered by modern physics, the most theoretically advanced of the sciences. With its firsthand look at models, facts, and theories, intuition and imagination, the use of analogies and metaphors, the importance of mathematics (and now, computers), and the "virtual" reality of the physics of micro-particles, "The Truth of Science" truly is a practicing scientist's account of the foundations, processes, and value of science.

To claims that science is a social construction, Newton answers with the working scientist's credo: "A body of assertions is true if it forms a coherent whole and works both in the external world and in our minds." The truth of science, for Newton, is nothing more or less than a relentless questioning of authority combined with a relentless striving for objectivity in the full awareness that the process never ends. With its lucid exposition of the ideals, methods, and goals of science, his book performs a great feat in service of this truth.

Bored during Mass at the cathedral in Pisa, the seventeen-year-old Galileo regarded the chandelier swinging overhead-and remarked, to his great surprise, that the lamp took as many beats to complete an arc when hardly moving as when it was swinging widely. Galileo's Pendulum tells the story of what this observation meant, and of its profound consequences for science and technology. The principle of the pendulum's swing-a property called isochronism-marks a simple yet fundamental system in nature, one that ties the rhythm of time to the very existence of matter in the universe. Roger Newton sets the stage for Galileo's discovery with a look at biorhythms in living organisms and at early calendars and clocks-contrivances of nature and culture that, however adequate in their time, did not meet the precise requirements of seventeenth-century science and navigation. Galileo's Pendulum recounts the history of the newly evolving time pieces-from marine chronometers to atomic clocks-based on the pendulum as well as other mechanisms employing the same physical principles, and explains the Newtonian science underlying their function. The book ranges nimbly from the sciences of sound and light to the astonishing intersection of the pendulum's oscillations and quantum theory, resulting in new insight into the make-up of the material universe. Covering topics from the invention of time zones to Isaac Newton's equations of motion, from Pythagoras's theory of musical harmony to Michael Faraday's field theory and the development of quantum electrodynamics, Galileo's Pendulum is an authoritative and engaging tour through time of the most basic all-pervading system in the world.

For many of us, the physical sciences are as obscure as the phenomena they explain. We see the wonders of nature but miss the symmetry beneath, framed as it is in ever stranger symbols and concepts. Roger Newton's accessible account of how physicists understand the world allows the expert and novice alike to explore both the mysteries of the universe and the beauty of the science that gives shape to the unseeable. In What Makes Nature Tick? we find engaging discussions of solitons and superconductors, quarks and strings, phase space, tachyons, time, chaos, and indeterminacy, as well as the investigations that have led to their elucidation. But Roger Newton does not limit this volume to late-breaking discoveries and startling facts. He presents physics as an expanding intellectual structure, a network of very human ideas that stretches back three hundred years from our present frontier of knowledge. Where does our unidirectional sense of time come from? What makes a particle elementary? How can forces be transmitted through empty space? In addition to providing these answers, and a host of others at the very heart of physics, Newton shows us how physicists formulate the questions--a process in which intuition, imagination, and aesthetics have a powerful influence.