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Much of this book has focused down to ever smaller scales, from atoms to nuclei to fundamental particles. At the other extreme is cosmology, the study of the overall structure and history of the universe. This chapter will introduce the Big Bang model of cosmology, what it does and doesn’t explain about the history of the universe, and some of the evidence for the model.
The one-particle-at-a-time double-slit and many other early twentieth-century experiments convince us that a photon or electron is associated with a “wavefunction.” This function follows the normal mathematics of waves (including constructive and destructive interference), and probabilistically guides the position and other properties of the particle.
Chapter 3 presented a series of experiments that demanded serious changes to classical physics. These experiments pointed to particle-like behavior – quantization – of electromagnetic radiation.
A brief history of smallness. • Seventeenth and eighteenth centuries: Scientists understand that matter is made of particles too small to see, and they devise a host of ingenious experiments to determine the nature and properties of these particles. In hindsight, we would describe much of this work as groping toward a clear distinction between atoms and molecules.
According to the theory of relativity, Newton’s laws only work for objects traveling much slower than the speed of light. This does not mean that we need one set of laws for fast objects and a different set for slow objects; the equations of relativity work at all speeds. But Einstein’s equations and Newton’s laws make essentially the same predictions as each other for slow objects, and diverge significantly for fast ones. Early twentieth-century physicists were able to measure objects moving close to the speed of light, and such objects followed Einstein’s laws – not Newton’s.
Modern Physics intertwines active learning pedagogy with the material typically covered in an introductory survey, from the basics of relativity and quantum mechanics through recent developments in particle physics and cosmology. The flexible approach taken by the authors allows instructors to easily incorporate as much or as little active learning into their teaching as they choose. Chapters are enhanced by 'Discovery' and 'Active Reading' exercises to guide students through key ideas before or during class, while 'ConcepTests' help check student understanding and stimulate classroom discussions. Each chapter also includes extensive assessment material, with a range of basic comprehension questions, drill and practice calculations, computer-based problems, and explorations of advanced applications. A test bank and interactive animations as well as other support for instructors and students are available online. Students are engaged by an accessible and lively writing style, thorough explanations, 'Math Interludes' which account for varying levels of skill and experience, and advanced topics to further pique their interest in physics.
This advanced undergraduate physics textbook presents an accessible treatment of classical mechanics using plain language and clear examples. While comprehensive, the book can be tailored to a one-semester course. An early introduction of the Lagrangian and Hamiltonian formalisms gives students an opportunity to utilize these important techniques in the easily visualized context of classical mechanics. The inclusion of 321 simple in-chapter exercises, 82 worked examples, 550 more challenging end-of-chapter problems, and 65 computational projects reinforce students' understanding of key physical concepts and give instructors freedom to choose from a wide variety of assessment and support materials. This new edition has been reorganized. Numerous sections were rewritten. New problems, a chapter on fluid dynamics, and brief optional studies of advanced topics such as general relativity and orbital mechanics have been incorporated. Online resources include a solutions manual for instructors, lecture slides, and a set of student-oriented video lectures.