Elements of Classical and Quantum Integrable Systems

Elements of Classical and Quantum Integrable Systems
Author: Gleb Arutyunov
Publisher: Springer
Total Pages: 414
Release: 2019-07-23
Genre: Science
ISBN: 303024198X

Integrable models have a fascinating history with many important discoveries that dates back to the famous Kepler problem of planetary motion. Nowadays it is well recognised that integrable systems play a ubiquitous role in many research areas ranging from quantum field theory, string theory, solvable models of statistical mechanics, black hole physics, quantum chaos and the AdS/CFT correspondence, to pure mathematics, such as representation theory, harmonic analysis, random matrix theory and complex geometry. Starting with the Liouville theorem and finite-dimensional integrable models, this book covers the basic concepts of integrability including elements of the modern geometric approach based on Poisson reduction, classical and quantum factorised scattering and various incarnations of the Bethe Ansatz. Applications of integrability methods are illustrated in vast detail on the concrete examples of the Calogero-Moser-Sutherland and Ruijsenaars-Schneider models, the Heisenberg spin chain and the one-dimensional Bose gas interacting via a delta-function potential. This book has intermediate and advanced topics with details to make them clearly comprehensible.

Elements of Classical and Quantum Physics

Elements of Classical and Quantum Physics
Author: Michele Cini
Publisher: Springer
Total Pages: 391
Release: 2018-02-09
Genre: Science
ISBN: 3319713302

This book presents the basic elements of theoretical physics in a highly accessible, captivating way for university students in the third year of a degree in physics. It covers analytical mechanics, thermodynamics and statistical physics, special and general relativity and non-relativistic quantum theory, fully developing the necessary mathematical methods beyond standard calculus. The central theme is scientific curiosity and the main focus is on the experimental meaning of all quantities and equations. Several recent verifications of General Relativity are presented, with emphasis on the physical effects – why they were predicted to exist and what signals they were seen to produce. Similarly, the basic reasons why superconductors have zero resistance and are perfect diamagnets are pinpointed. Quantum Eraser Experiments and Delayed Choice Experiments are described. Many statements of Quantum Theory are a challenge to common sense and some crucial predictions have often been considered hard to believe and have been tested experimentally. The book examines the EPR paradox, Bell states and teleportation. To show the beauty and richness of the subject, various topics from different areas of Physics are covered. These include: discrete quantum models and lattices (periodic and not), Casimir effect, Anyons, Fano Resonances, the Hanbury Brown and Twiss effect, the Aharonov-Bohm effect, the Meitner-Auger effect, Squeezed Light, the Rabi model, neutrino oscillations, aspects of Quantum Transport, Quantum Pumping, and Berry phases, black holes and cosmological problems.

Elements of Classical Physics

Elements of Classical Physics
Author: Martin C. Martin
Publisher: Elsevier
Total Pages: 371
Release: 2013-10-22
Genre: Science
ISBN: 1483148602

Elements of Classical Physics tackles the different areas of general physics in a way that the authors believe to be more effective. The book contains material easily understood with a minimal mathematical framework and introduces the necessary mathematical concepts when they have been presented in a typical concurrent mathematical course. The book also provides a quantitative understanding of the different concepts in a wide variety of specific situations. The topics covered, which are arranged according to increasing difficulty in a uniformly progressive pace, are temperature and heat; light and wavelength; particle motion on and special relativity; dynamics, laws of motion, momentum, work, and mechanical energy; electromagnetism; and thermodynamics. The material is recommended as a textbook for beginning physics students, as it aims to give its readers a smooth transition from high school to a college level of understanding on the subject.

Elements of Classical Thermodynamics:For Advanced Students of Physics

Elements of Classical Thermodynamics:For Advanced Students of Physics
Author: A. B. Pippard
Publisher: Cambridge University Press
Total Pages: 180
Release: 1964
Genre: Science
ISBN: 9780521091015

The laws of thermodynamics are amongst the most assured and wide-ranging of all scientific laws. They do not pretend to explain any observation in molecular terms but, by showing the necessary relationships between different physical properties, they reduce otherwise disconnected results to compact order, and predict new effects. This classic title, first published in 1957, is a systematic exposition of principles, with examples of applications, especially to changes of places and the conditions for stability. In all this entropy is a key concept.

Classical Physics

Classical Physics
Author: Bekir Karaoglu
Publisher: Springer Nature
Total Pages: 408
Release: 2020-02-28
Genre: Science
ISBN: 303038456X

This textbook is specifically designed to meet the needs of students taking the two-semester calculus-based introductory physics courses now favored in many countries around the world. Accordingly, it is more concise than the extremely long standard textbooks, but offers the same modern approach and format. All core topics in classical physics are covered using straightforward language, including mechanics, thermodynamics, electromagnetism, and optics. The necessary mathematics is developed along the way, rigorously and clearly. The book also features a wealth of solved examples, which will deepen readers’ conceptual comprehension and hone their problem-solving skills. In addition, some 430 problems and 400 multiple-choice questions serve to review key concepts and assess readers’ progress. The material in the book has been successfully employed in classroom teaching for the past decade, during which time it has been successively refined. Given its scope, format and approach, the book is the ideal choice for all science, engineering, and medical students embarking on an introductory physics course.

Mathematics of Classical and Quantum Physics

Mathematics of Classical and Quantum Physics
Author: Frederick W. Byron
Publisher: Courier Corporation
Total Pages: 674
Release: 2012-04-26
Genre: Science
ISBN: 0486135063

Graduate-level text offers unified treatment of mathematics applicable to many branches of physics. Theory of vector spaces, analytic function theory, theory of integral equations, group theory, and more. Many problems. Bibliography.

Modern Classical Physics

Modern Classical Physics
Author: Kip S. Thorne
Publisher: Princeton University Press
Total Pages: 1551
Release: 2017-09-05
Genre: Science
ISBN: 0691159025

A groundbreaking text and reference book on twenty-first-century classical physics and its applications This first-year graduate-level text and reference book covers the fundamental concepts and twenty-first-century applications of six major areas of classical physics that every masters- or PhD-level physicist should be exposed to, but often isn't: statistical physics, optics (waves of all sorts), elastodynamics, fluid mechanics, plasma physics, and special and general relativity and cosmology. Growing out of a full-year course that the eminent researchers Kip Thorne and Roger Blandford taught at Caltech for almost three decades, this book is designed to broaden the training of physicists. Its six main topical sections are also designed so they can be used in separate courses, and the book provides an invaluable reference for researchers. Presents all the major fields of classical physics except three prerequisites: classical mechanics, electromagnetism, and elementary thermodynamics Elucidates the interconnections between diverse fields and explains their shared concepts and tools Focuses on fundamental concepts and modern, real-world applications Takes applications from fundamental, experimental, and applied physics; astrophysics and cosmology; geophysics, oceanography, and meteorology; biophysics and chemical physics; engineering and optical science and technology; and information science and technology Emphasizes the quantum roots of classical physics and how to use quantum techniques to elucidate classical concepts or simplify classical calculations Features hundreds of color figures, some five hundred exercises, extensive cross-references, and a detailed index An online illustration package is available

Technical Physics

Technical Physics
Author: Jay F. Hooper
Publisher: CreateSpace
Total Pages: 128
Release: 2010-07-01
Genre: Science
ISBN: 9781499250039

Technical Physics (The Nine Elements of Classical Physics) Table of Contents Chapter 1Length and Frequency Chapter 2Area and Speed Chapter 3Volume, Acceleration, Mass, and Charge Chapter 4Flow Chapter 5Momentum Chapter 6Force and Weight Chapter 7Energy and Work Chapter 8Power Chapter 9Resistance Chapter 10 Examples In The Mechanical World Chapter 11 Examples In The Rigging World Chapter 12 Examples In The Electrical World Chapter 13 Examples In The Fluid Power World Chapter 14 Exercises Appendix -a- Dictionary of Terms Appendix -b- Selected answers Abstract This book was written for the advanced industrial troubleshooter or the beginning college or university student in order to better grasp the underlying concepts and threads in the physical world around us. The information in this book came from my notes from a series of seminars that I ran for a group of newly hired engineers and technical people in the mid 1990's. I have attempted to give the student a brief, but focused insight into the general realm of Physics and how it relates to their work a day world. ABOUT THE AUTHOR Jay Hooper has taught for over 25 years in the North Carolina community college system and has worked in industry for 15 years. He has served as a consultant on various projects for over 30 years. He is currently involved with several endeavors with business and industry from his home base in Salisbury, NC through Freeu.