Classical And Quantum Mechanics With Lie Algebras PDF Download
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| Author | : Yair Shapira |
| Publisher | : World Scientific |
| Total Pages | : 711 |
| Release | : 2021-07-19 |
| Genre | : Science |
| ISBN | : 9811240078 |
Download Classical And Quantum Mechanics With Lie Algebras Book in PDF, ePub and Kindle
How to see physics in its full picture? This book offers a new approach: start from math, in its simple and elegant tools: discrete math, geometry, and algebra, avoiding heavy analysis that might obscure the true picture. This will get you ready to master a few fundamental topics in physics: from Newtonian mechanics, through relativity, towards quantum mechanics.Thanks to simple math, both classical and modern physics follow and make a complete vivid picture of physics. This is an original and unified point of view to highlighting physics from a fresh pedagogical angle.Each chapter ends with a lot of relevant exercises. The exercises are an integral part of the chapter: they teach new material and are followed by complete solutions. This is a new pedagogical style: the reader takes an active part in discovering the new material, step by step, exercise by exercise.The book could be used as a textbook in undergraduate courses such as Introduction to Newtonian mechanics and special relativity, Introduction to Hamiltonian mechanics and stability, Introduction to quantum physics and chemistry, and Introduction to Lie algebras with applications in physics.
| Author | : Joe Rosen |
| Publisher | : |
| Total Pages | : 12 |
| Release | : 1966 |
| Genre | : Lie algebras |
| ISBN | : |
Download On Realizations of Lie Algebras and Symmetries in Classical and Quantum Mechanics (II) Book in PDF, ePub and Kindle
| Author | : Arnold Neumaier |
| Publisher | : Walter de Gruyter GmbH & Co KG |
| Total Pages | : 567 |
| Release | : 2024-10-07 |
| Genre | : Science |
| ISBN | : 3110406241 |
Download Quantum Mechanics via Lie Algebras Book in PDF, ePub and Kindle
This monograph introduces mathematicians, physicists, and engineers to the ideas relating quantum mechanics and symmetries - both described in terms of Lie algebras and Lie groups. The exposition of quantum mechanics from this point of view reveals that classical mechanics and quantum mechanics are very much alike. Written by a mathematician and a physicist, this book is (like a math book) about precise concepts and exact results in classical mechanics and quantum mechanics, but motivated and discussed (like a physics book) in terms of their physical meaning. The reader can focus on the simplicity and beauty of theoretical physics, without getting lost in a jungle of techniques for estimating or calculating quantities of interest.
| Author | : Matthew Cody Nitschke |
| Publisher | : |
| Total Pages | : 116 |
| Release | : 2005 |
| Genre | : Hamiltonian systems |
| ISBN | : |
Download Lie Algebras in Classical and Quantum Mechanics Book in PDF, ePub and Kindle
| Author | : Howard Georgi |
| Publisher | : Westview Press |
| Total Pages | : 340 |
| Release | : 1999-10-22 |
| Genre | : Science |
| ISBN | : 0738202339 |
Download Lie Algebras In Particle Physics Book in PDF, ePub and Kindle
An exciting new edition of a classic text
| Author | : Robert Hermann |
| Publisher | : |
| Total Pages | : 340 |
| Release | : 1970 |
| Genre | : Mathematics |
| ISBN | : |
Download Lie Algebras and Quantum Mechanics Book in PDF, ePub and Kindle
| Author | : Brian C. Hall |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 566 |
| Release | : 2013-06-19 |
| Genre | : Science |
| ISBN | : 1461471168 |
Download Quantum Theory for Mathematicians Book in PDF, ePub and Kindle
Although ideas from quantum physics play an important role in many parts of modern mathematics, there are few books about quantum mechanics aimed at mathematicians. This book introduces the main ideas of quantum mechanics in language familiar to mathematicians. Readers with little prior exposure to physics will enjoy the book's conversational tone as they delve into such topics as the Hilbert space approach to quantum theory; the Schrödinger equation in one space dimension; the Spectral Theorem for bounded and unbounded self-adjoint operators; the Stone–von Neumann Theorem; the Wentzel–Kramers–Brillouin approximation; the role of Lie groups and Lie algebras in quantum mechanics; and the path-integral approach to quantum mechanics. The numerous exercises at the end of each chapter make the book suitable for both graduate courses and independent study. Most of the text is accessible to graduate students in mathematics who have had a first course in real analysis, covering the basics of L2 spaces and Hilbert spaces. The final chapters introduce readers who are familiar with the theory of manifolds to more advanced topics, including geometric quantization.
| Author | : Niky Kamran |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 330 |
| Release | : 1994-01-01 |
| Genre | : Mathematics |
| ISBN | : 9780821854945 |
Download Lie Algebras, Cohomology, and New Applications to Quantum Mechanics, Book in PDF, ePub and Kindle
This volume is devoted to a range of important new ideas arising in the applications of Lie groups and Lie algebras to Schrodinger operators and associated quantum mechanical systems. In these applications, the group does not appear as a standard symmetry group, but rather as a "hidden" symmetry group whose representation theory can still be employed to analyze at least part of the spectrum of the operator. In light of the rapid developments in this subject, a Special Session was organized at the AMS meeting at Southwest Missouri State University in March 1992 in order to bring together, perhaps for the first time, mathematicians and physicists working in closely related areas. The contributions to this volume cover Lie group methods, Lie algebras and Lie algebra cohomology, representation theory, orthogonal polynomials, q-series, conformal field theory, quantum groups, scattering theory, classical invariant theory, and other topics. This volume, which contains a good balance of research and survey papers, presents at look at some of the current development in this extraordinarily rich and vibrant area.
| Author | : Robert N. Cahn |
| Publisher | : Courier Corporation |
| Total Pages | : 180 |
| Release | : 2014-06-10 |
| Genre | : Mathematics |
| ISBN | : 0486150313 |
Download Semi-Simple Lie Algebras and Their Representations Book in PDF, ePub and Kindle
Designed to acquaint students of particle physiME already familiar with SU(2) and SU(3) with techniques applicable to all simple Lie algebras, this text is especially suited to the study of grand unification theories. Author Robert N. Cahn, who is affiliated with the Lawrence Berkeley National Laboratory in Berkeley, California, has provided a new preface for this edition. Subjects include the killing form, the structure of simple Lie algebras and their representations, simple roots and the Cartan matrix, the classical Lie algebras, and the exceptional Lie algebras. Additional topiME include Casimir operators and Freudenthal's formula, the Weyl group, Weyl's dimension formula, reducing product representations, subalgebras, and branching rules. 1984 edition.
| Author | : PERELOMOV |
| Publisher | : Birkhäuser |
| Total Pages | : 312 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 3034892578 |
Download Integrable Systems of Classical Mechanics and Lie Algebras Volume I Book in PDF, ePub and Kindle
This book offers a systematic presentation of a variety of methods and results concerning integrable systems of classical mechanics. The investigation of integrable systems was an important line of study in the last century, but up until recently only a small number of examples with two or more degrees of freedom were known. In the last fifteen years however, remarkable progress has been made in this field via the so-called isospectral deformation method which makes extensive use of group-theoretical concepts. The book focuses mainly on the development and applications of this new method, and also gives a fairly complete survey of the older classic results. Chapter 1 contains the necessary background material and outlines the isospectral deformation method in a Lie-algebraic form. Chapter 2 gives an account of numerous previously known integrable systems. Chapter 3 deals with many-body systems of generalized Calogero-Moser type, related to root systems of simple Lie algebras. Chapter 4 is devoted to the Toda lattice and its various modifications seen from the group-theoretic point of view. Chapter 5 investigates some additional topics related to many-body systems. The book will be valuable to students as well as researchers.
