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Advanced Topics in Quantum Mechanics

Advanced Topics in Quantum Mechanics
Author: Marcos Mariño
Publisher: Cambridge University Press
Total Pages: 273
Release: 2021-12-09
Genre: Science
ISBN: 1108495877

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An advanced quantum mechanics textbook that provides a unique pedagogical introduction to high-level topics in the field.


Topics in Advanced Quantum Mechanics

Topics in Advanced Quantum Mechanics
Author: Barry R. Holstein
Publisher: Courier Corporation
Total Pages: 451
Release: 2014-06-18
Genre: Science
ISBN: 0486499855

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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.


Advanced Concepts in Quantum Mechanics

Advanced Concepts in Quantum Mechanics
Author: Giampiero Esposito
Publisher: Cambridge University Press
Total Pages: 399
Release: 2015
Genre: Science
ISBN: 1107076048

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This book introduces a geometric view of fundamental physics, ideal for advanced undergraduate and graduate students in quantum mechanics and mathematical physics.


Advanced Concepts in Quantum Field Theory

Advanced Concepts in Quantum Field Theory
Author: James M. Cline
Publisher: Springer Nature
Total Pages: 153
Release: 2020-10-21
Genre: Science
ISBN: 3030561682

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This book comprises the second half of a quantum field theory (QFT) course for graduate students. It gives a concise introduction to advanced concepts that are important for research in elementary particle theory. Topics include the path integral, loop expansion, Feynman rules, various regularization methods, renormalization, running couplings and the renormalization group, fixed points and asymptotic freedom, effective action, Coleman-Weinberg effective potential, fermions, the axial anomaly, QED, gauge fixing, nonabelian gauge theories, unitarity, optical theorem, Slavnov-Taylor identities, beta function of Yang-Mills theory, a heuristic derivation of asymptotic freedom, instantons in SU(N) gauge theory, theta vacua and the strong CP problem. Exercises are included and are intended for advanced graduate students or postdocs seeking to deepen their understanding of QFT.


Advanced Topics in Quantum Field Theory

Advanced Topics in Quantum Field Theory
Author: M. Shifman
Publisher: Cambridge University Press
Total Pages: 641
Release: 2012-01-19
Genre: Science
ISBN: 0521190843

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Devoted specifically to modern field theory, this is an indispensable book for graduate students and researchers in theoretical physics. It emphasizes nonperturbative phenomena and supersymmetry, and discusses various phases of gauge theories, extended objects and their quantization, and global supersymmetry from a modern perspective.


Elements of Advanced Quantum Theory

Elements of Advanced Quantum Theory
Author: J. M. Ziman
Publisher: Cambridge University Press
Total Pages: 286
Release: 1969
Genre: Science
ISBN: 9780521099493

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This textbook gives a connected mathematical derivation of the important mathematical results, concentrating on the central ideas without including elaborate detail or unnecessary rigour, and explaining in the simplest terms the symbols and concepts which confront the researcher in solid state, nuclear or high-energy physics.


MATHEMATICAL CONCEPTS OF QUANTUM MECHANICS

MATHEMATICAL CONCEPTS OF QUANTUM MECHANICS
Author: STEPHEN J. GUSTAFSON
Publisher:
Total Pages:
Release: 2020
Genre: Mathematics
ISBN: 3030595625

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The book gives a streamlined introduction to quantum mechanics while describing the basic mathematical structures underpinning this discipline. Starting with an overview of key physical experiments illustrating the origin of the physical foundations, the book proceeds with a description of the basic notions of quantum mechanics and their mathematical content. It then makes its way to topics of current interest, specifically those in which mathematics plays an important role. The more advanced topics presented include: many-body systems, modern perturbation theory, path integrals, the theory of resonances, adiabatic theory, geometrical phases, Aharonov-Bohm effect, density functional theory, open systems, the theory of radiation (non-relativistic quantum electrodynamics), and the renormalization group. With different selections of chapters, the book can serve as a text for an introductory, intermediate, or advanced course in quantum mechanics. Some of the sections could be used for introductions to geometrical methods in Quantum Mechanics, to quantum information theory and to quantum electrodynamics and quantum field theory.


Concepts in Quantum Mechanics

Concepts in Quantum Mechanics
Author: Vishnu S. Mathur
Publisher: CRC Press
Total Pages: 616
Release: 2008-12-12
Genre: Science
ISBN: 1420078739

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Taking a conceptual approach to the subject, Concepts in Quantum Mechanics provides complete coverage of both basic and advanced topics. Following in the footsteps of Dirac's classic work Principles of Quantum Mechanics, it explains all themes from first principles.The authors present alternative ways of representing the state of a physical system,


Advanced Quantum Mechanics

Advanced Quantum Mechanics
Author: Reinhold Blumel
Publisher: Jones & Bartlett Publishers
Total Pages: 437
Release: 2010-04-28
Genre: Medical
ISBN: 1449655904

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This book provides a coherent introduction to Gutzwiller’s trace formula accessible to well-prepared science, mathematics, and engineering students who have taken introductory courses in linear algebra, classical, and quantum mechanics. In addition to providing an enrichment of the undergraduate curriculum, this book may serve as the primary text for graduate courses on semiclassical methods. Since periodic-orbit expansions may be used to solve all types of wave systems that typically occur in mathematics, phyics, and engineering, this book is attractice for professional scientists and engineers as well. Following a thorough review of elementary concepts in classical and quantum mechanics the reader is introduced to the idea of classical periodic orbits, the foundation of Gutzwiller’s approach to quantum spectra. The trace formula itself is derived following an introduction to Feynman’s path integrals. Numerous applications, including the exact solutions of “unsolvable” one-dimensional quantum problems, illustrate the power of Gutzwiller’s method. Worked examples throughout the text illustrate the material and provide immediate “hands-on” demonstrations of tools and concepts just learned. Problems at the end of each section invite the reader to consolidate the acquired knowledge.


Visual Quantum Mechanics

Visual Quantum Mechanics
Author: Bernd Thaller
Publisher: Springer Science & Business Media
Total Pages: 283
Release: 2007-05-08
Genre: Science
ISBN: 0387227709

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"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.