Advanced Topics in Quantum Mechanics

Advanced Topics in Quantum Mechanics
Author: Marcos Mariño
Publisher: Cambridge University Press
Total Pages: 274
Release: 2021-12-09
Genre: Science
ISBN: 1108852858

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.

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

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 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: 1139501887

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.

Advanced Quantum Mechanics

Advanced Quantum Mechanics
Author: Franz Schwabl
Publisher: Springer Science & Business Media
Total Pages: 412
Release: 2013-03-14
Genre: Science
ISBN: 3662054183

This book covers advanced topics in quantum mechanics, including nonrelativistic multi-particle systems, relativistic wave equations, and relativistic fields. Numerous examples for application help readers gain a thorough understanding of the subject. The presentation of relativistic wave equations and their symmetries, and the fundamentals of quantum field theory lay the foundations for advanced studies in solid-state physics, nuclear, and elementary particle physics. The authors earlier book, Quantum Mechanics, was praised for its unsurpassed clarity.

Advanced Quantum Mechanics

Advanced Quantum Mechanics
Author: Yuli V. Nazarov
Publisher: Cambridge University Press
Total Pages: 369
Release: 2013-01-03
Genre: Science
ISBN: 0521761506

An accessible introduction to advanced quantum theory, this textbook focuses on its practical applications and is ideal for graduate students in physics.

Advanced Quantum Mechanics

Advanced Quantum Mechanics
Author: RAINER DICK
Publisher: Springer
Total Pages: 694
Release: 2016-07-01
Genre: Science
ISBN: 3319256750

In this updated and expanded second edition of a well-received and invaluable textbook, Prof. Dick emphasizes the importance of advanced quantum mechanics for materials science and all experimental techniques which employ photon absorption, emission, or scattering. Important aspects of introductory quantum mechanics are covered in the first seven chapters to make the subject self-contained and accessible for a wide audience. Advanced Quantum Mechanics, Materials and Photons can therefore be used for advanced undergraduate courses and introductory graduate courses which are targeted towards students with diverse academic backgrounds from the Natural Sciences or Engineering. To enhance this inclusive aspect of making the subject as accessible as possible Appendices A and B also provide introductions to Lagrangian mechanics and the covariant formulation of electrodynamics. This second edition includes an additional 62 new problems as well as expanded sections on relativistic quantum fields and applications of quantum electrodynamics. Other special features include an introduction to Lagrangian field theory and an integrated discussion of transition amplitudes with discrete or continuous initial or final states. Once students have acquired an understanding of basic quantum mechanics and classical field theory, canonical field quantization is easy. Furthermore, the integrated discussion of transition amplitudes naturally leads to the notions of transition probabilities, decay rates, absorption cross sections and scattering cross sections, which are important for all experimental techniques that use photon probes.

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

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.

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

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.

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

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