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4177 results in General and Classical Physics

Page 11 of 209

  • 5 - The Schrödinger Equation

  • Gary N. Felder, Smith College, Massachusetts, Kenny M. Felder
  • Book:
    Modern Physics
    Published online:
    09 September 2022
    Print publication:
    15 September 2022, pp 213-259

  • Summary

    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.

  • 12 - The Atomic Nucleus

  • Gary N. Felder, Smith College, Massachusetts, Kenny M. Felder
  • Book:
    Modern Physics
    Published online:
    09 September 2022
    Print publication:
    15 September 2022, pp 556-595

  • Summary

    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.

  • 3 - The Quantum Revolution I: From Light Waves to Photons

  • Gary N. Felder, Smith College, Massachusetts, Kenny M. Felder
  • Book:
    Modern Physics
    Published online:
    09 September 2022
    Print publication:
    15 September 2022, pp 107-171

  • Summary

    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
  • Gary N. Felder, Kenny M. Felder
  • Published online:
    09 September 2022
    Print publication:
    15 September 2022
  • 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.

Intermediate Dynamics
  • 2nd edition
  • Patrick Hamill
  • Published online:
    02 July 2022
    Print publication:
    21 April 2022
  • 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.

Fascinating Problems for Young Physicists
  • Discovering Everyday Physics Phenomena and Solving Them
  • Nenad Vukmirović, Vladimir Veljić
  • Published online:
    30 June 2022
    Print publication:
    14 July 2022
  • Problem-solving is the cornerstone of all walks of scientific research. Fascinating Problems for Young Physicists attempts to clear the boundaries of seemingly abstract physical laws and their tangible effects through a step-by-step approach to physics in the world around us. It consists of 42 problems with detailed solutions, each describing a specific, interesting physical phenomenon. Each problem is further divided into questions designed to guide the reader through, encouraging engagement with and learning the physics behind the phenomenon. By solving the problems, the reader will be able to discover, for example, what the relation is between the mass of an animal and its expected lifetime, or what the efficiency limit is of wind turbines. Intended for first-year undergraduate students and interested high school students, this book develops inquiry-based scientific practice and enables students to acquire the necessary skills for applying the laws of physics to realistic situations.

  • 8 - Conservation Laws and Symmetries

  • from Part II - Conservation Laws
  • Patrick Hamill, San José State University, California
  • Book:
    Intermediate Dynamics
    Published online:
    02 July 2022
    Print publication:
    21 April 2022, pp 199-208

  • Summary

    Emmy Noether is recognized as one of the greatest mathematicians of the twentieth century. She was born in Germany in 1882 to an intellectual Jewish family and died in the United States in 1935. Emmy trained as a language teacher, but after passing the qualifying exams to teach, she decided to study mathematics at the University of Erlangen. At that time in Germany a university education was limited to men, although women were allowed to attend classes if given permission by the professor. (She was half of the total female student body at that university.) She spent a semester at the University of Gottingen, at that time a world leader in mathematics and physics. There she attended lectures from a number of leading mathematicians, including Hermann Minkowski (who you will run into in Chapter 20) and Karl Schwarzschild (whose theory of black holes you will encounter in Chapter 9).

Page 11 of 209