Topics In Quantum Mechanics
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Author |
: Floyd Williams |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 420 |
Release |
: 2003-01-23 |
ISBN-10 |
: 0817643117 |
ISBN-13 |
: 9780817643119 |
Rating |
: 4/5 (17 Downloads) |
Synopsis Topics in Quantum Mechanics by : Floyd Williams
This self-contained text presents quantum mechanics from the point of view of some computational examples with a mixture of mathematical clarity often not found in texts offering only a purely physical point of view. Emphasis is placed on the systematic application of the Nikiforov-- Uvarov theory of generalized hypergeometric differential equations to solve the Schr"dinger equation and to obtain the quantization of energies from a single unified point of view.
Author |
: Marcos Mariño |
Publisher |
: Cambridge University Press |
Total Pages |
: 274 |
Release |
: 2021-12-09 |
ISBN-10 |
: 9781108852852 |
ISBN-13 |
: 1108852858 |
Rating |
: 4/5 (52 Downloads) |
Synopsis Advanced Topics in Quantum Mechanics by : Marcos Mariño
Quantum mechanics is one of the most successful theories in science, and is relevant to nearly all modern topics of scientific research. This textbook moves beyond the introductory and intermediate principles of quantum mechanics frequently covered in undergraduate and graduate courses, presenting in-depth coverage of many more exciting and advanced topics. The author provides a clearly structured text for advanced students, graduates and researchers looking to deepen their knowledge of theoretical quantum mechanics. The book opens with a brief introduction covering key concepts and mathematical tools, followed by a detailed description of the Wentzel–Kramers–Brillouin (WKB) method. Two alternative formulations of quantum mechanics are then presented: Wigner's phase space formulation and Feynman's path integral formulation. The text concludes with a chapter examining metastable states and resonances. Step-by-step derivations, worked examples and physical applications are included throughout.
Author |
: Pankaj Sharan |
Publisher |
: Springer Nature |
Total Pages |
: 326 |
Release |
: 2023-10-23 |
ISBN-10 |
: 9783031359620 |
ISBN-13 |
: 3031359623 |
Rating |
: 4/5 (20 Downloads) |
Synopsis Some Unusual Topics in Quantum Mechanics by : Pankaj Sharan
This second edition of Some Unusual Topics in Quantum Mechanics builds upon the topics covered in the first, with additional chapters that delve deeper into the mathematical foundations of the subject. New topics include Hilbert spaces and unbounded operators, minimum uncertainty states, path integrals in general coordinates, Fock spaces, second quantization, relativistic particle states, and quantum fields. Historical insights are also included, such as a pre-history of matrix mechanics and Pauli's proof of the H-atom spectrum using O(4) symmetry. Finally, readers are introduced to Bell's inequality and the non-locality in quantum mechanics that is revealed through its violation. These topics are rarely covered in introductory textbooks but are crucial to developing a student's interest and deeper understanding of quantum mechanics. This book serves as valuable supporting material for graduate-level core courses on the subject.
Author |
: Barry R. Holstein |
Publisher |
: Courier Corporation |
Total Pages |
: 451 |
Release |
: 2014-06-18 |
ISBN-10 |
: 9780486499857 |
ISBN-13 |
: 0486499855 |
Rating |
: 4/5 (57 Downloads) |
Synopsis Topics in Advanced Quantum Mechanics by : Barry R. Holstein
This graduate-level text is based on a course in advanced quantum mechanics, taught many times at the University of Massachusetts, Amherst. Topics include propagator methods, scattering theory, charged particle interactions, alternate approximate methods, and Klein-Gordon and Dirac equations. Problems appear in the flow of the discussion, rather than at the end of chapters. 1992 edition.
Author |
: Nicholas P. Landsman |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 547 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9781461216803 |
ISBN-13 |
: 146121680X |
Rating |
: 4/5 (03 Downloads) |
Synopsis Mathematical Topics Between Classical and Quantum Mechanics by : Nicholas P. Landsman
This monograph draws on two traditions: the algebraic formulation of quantum mechanics as well as quantum field theory, and the geometric theory of classical mechanics. These are combined in a unified treatment of the theory of Poisson algebras of observables and pure state spaces with a transition probability, which leads on to a discussion of the theory of quantization and the classical limit from this perspective. A prototype of quantization comes from the analogy between the C*- algebra of a Lie groupoid and the Poisson algebra of the corresponding Lie algebroid. The parallel between reduction of symplectic manifolds in classical mechanics and induced representations of groups and C*- algebras in quantum mechanics plays an equally important role. Examples from physics include constrained quantization, curved spaces, magnetic monopoles, gauge theories, massless particles, and $theta$- vacua. Accessible to mathematicians with some prior knowledge of classical and quantum mechanics, and to mathematical physicists and theoretical physicists with some background in functional analysis.
Author |
: Sean Carroll |
Publisher |
: Penguin |
Total Pages |
: 305 |
Release |
: 2022-09-20 |
ISBN-10 |
: 9780593186589 |
ISBN-13 |
: 0593186583 |
Rating |
: 4/5 (89 Downloads) |
Synopsis The Biggest Ideas in the Universe by : Sean Carroll
INSTANT NEW YORK TIMES BESTSELLER “Most appealing... technical accuracy and lightness of tone... Impeccable.”—Wall Street Journal “A porthole into another world.”—Scientific American “Brings science dissemination to a new level.”—Science The most trusted explainer of the most mind-boggling concepts pulls back the veil of mystery that has too long cloaked the most valuable building blocks of modern science. Sean Carroll, with his genius for making complex notions entertaining, presents in his uniquely lucid voice the fundamental ideas informing the modern physics of reality. Physics offers deep insights into the workings of the universe but those insights come in the form of equations that often look like gobbledygook. Sean Carroll shows that they are really like meaningful poems that can help us fly over sierras to discover a miraculous multidimensional landscape alive with radiant giants, warped space-time, and bewilderingly powerful forces. High school calculus is itself a centuries-old marvel as worthy of our gaze as the Mona Lisa. And it may come as a surprise the extent to which all our most cutting-edge ideas about black holes are built on the math calculus enables. No one else could so smoothly guide readers toward grasping the very equation Einstein used to describe his theory of general relativity. In the tradition of the legendary Richard Feynman lectures presented sixty years ago, this book is an inspiring, dazzling introduction to a way of seeing that will resonate across cultural and generational boundaries for many years to come.
Author |
: M. Shifman |
Publisher |
: Cambridge University Press |
Total Pages |
: 641 |
Release |
: 2012-01-19 |
ISBN-10 |
: 9781139501880 |
ISBN-13 |
: 1139501887 |
Rating |
: 4/5 (80 Downloads) |
Synopsis Advanced Topics in Quantum Field Theory by : M. Shifman
Since the advent of Yang–Mills theories and supersymmetry in the 1970s, quantum field theory - the basis of the modern description of physical phenomena at the fundamental level - has undergone revolutionary developments. This is the first systematic and comprehensive text devoted specifically to modern field theory, bringing readers to the cutting edge of current research. The book emphasizes nonperturbative phenomena and supersymmetry. It includes a thorough discussion of various phases of gauge theories, extended objects and their quantization, and global supersymmetry from a modern perspective. Featuring extensive cross-referencing from traditional topics to recent breakthroughs in the field, it prepares students for independent research. The side boxes summarizing the main results and over 70 exercises make this an indispensable book for graduate students and researchers in theoretical physics.
Author |
: Harry J. Lipkin |
Publisher |
: Courier Corporation |
Total Pages |
: 483 |
Release |
: 2014-08-11 |
ISBN-10 |
: 9780486151854 |
ISBN-13 |
: 0486151859 |
Rating |
: 4/5 (54 Downloads) |
Synopsis Quantum Mechanics by : Harry J. Lipkin
Acclaimed as "excellent" (Nature) and "very original and refreshing" (Physics Today), these studies examine the Mössbauer effect, many-body quantum mechanics, scattering theory, Feynman diagrams, and relativistic quantum mechanics. 1973 edition.
Author |
: Mohammad Reza Pahlavani |
Publisher |
: BoD – Books on Demand |
Total Pages |
: 470 |
Release |
: 2015-05-13 |
ISBN-10 |
: 9789535121268 |
ISBN-13 |
: 953512126X |
Rating |
: 4/5 (68 Downloads) |
Synopsis Selected Topics in Applications of Quantum Mechanics by : Mohammad Reza Pahlavani
This book has two sections. The section Selected Topics in Applications of Quantum Mechanics provides seven chapters about different applications of quantum mechanics in science and technology. The section Selected Topics in Foundations of Quantum Mechanics provides seven chapters about the foundations of quantum mechanics. This book is written by a community of expert scientists from different research institutes and universities from all over the world. Without a doubt, quantum mechanics is the greatest discovery of the 20th century. Therefore, its history and foundations are of great interest to scientists and students. This book covers some of the applications of quantum mechanics in nuclear physics, medical science, information technology, atomic physics and material science, as well as selected topics of quantum mechanics through different bases and ideas about quantum mechanics. The basic idea of the publication of this book is to make scientists and researchers, as well as graduate students, familiar with the foundations of quantum mechanics.
Author |
: Bernd Thaller |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 283 |
Release |
: 2007-05-08 |
ISBN-10 |
: 9780387227702 |
ISBN-13 |
: 0387227709 |
Rating |
: 4/5 (02 Downloads) |
Synopsis Visual Quantum Mechanics by : Bernd Thaller
"Visual Quantum Mechanics" uses the computer-generated animations found on the accompanying material on Springer Extras to introduce, motivate, and illustrate the concepts explained in the book. While there are other books on the market that use Mathematica or Maple to teach quantum mechanics, this book differs in that the text describes the mathematical and physical ideas of quantum mechanics in the conventional manner. There is no special emphasis on computational physics or requirement that the reader know a symbolic computation package. Despite the presentation of rather advanced topics, the book requires only calculus, making complicated results more comprehensible via visualization. The material on Springer Extras provides easy access to more than 300 digital movies, animated illustrations, and interactive pictures. This book along with its extra online materials forms a complete introductory course on spinless particles in one and two dimensions.