Self-adjoint Extensions in Quantum Mechanics: General Theory and Applications to Schrödinger and Dirac Equations with Singular Potentials
- ISBN-10
- 0817646620
- ISBN-13
- 9780817646622
- Category
- Science
- Pages
- 523
- Language
- English
- Published
- 2012-04-27
- Publisher
- Springer Science & Business Media
- Authors
- D.M. Gitman, I.V. Tyutin, B.L. Voronov
Description
This exposition is devoted to a consistent treatment of quantization problems, based on appealing to some nontrivial items of functional analysis concerning the theory of linear operators in Hilbert spaces. The authors begin by considering quantization problems in general, emphasizing the nontriviality of consistent operator construction by presenting paradoxes to the naive treatment. It then builds the necessary mathematical background following it by the theory of self-adjoint extensions. By considering several problems such as the one-dimensional Calogero problem, the Aharonov-Bohm problem, the problem of delta-like potentials and relativistic Coulomb problemIt then shows how quantization problems associated with correct definition of observables can be treated consistently for comparatively simple quantum-mechanical systems. In the end, related problems in quantum field theory are briefly introduced. This well-organized text is most suitable for students and post graduates interested in deepening their understanding of mathematical problems in quantum mechanics. However, scientists in mathematical and theoretical physics and mathematicians will also find it useful.
Get the book
Similar books
-
Chemistry: An Introduction to General, Organic and Biological Chemistry
By Karen C. TimberlakeThis new edition introduces more problem-solving strategies and new conceptual and challenge problems. Also, each Chapter Review has been enhanced with Learning Goals to reinforce the mastery of concepts for students.
-
Chemistry: An Introduction to General, Organic, and Biological Chemistry
By Karen TimberlakeThis laboratory manual contains 42 experiments for the standard sequence of topics in general, organic, and biological chemistry.
-
Basic Chemistry
By Karen C. TimberlakeThe book guides students through basic chemistry problem solving with engaging visuals and a focus on developing the math skills necessary to be successful in the course.
-
General, Organic, and Biological Chemistry: Structures of Life, eBook, Global Edition
By Karen C. TimberlakeThe full text downloaded to your computer With eBooks you can: search for key concepts, words and phrases make highlights and notes as you study share your notes with friends eBooks are downloaded to your computer and accessible either ...
-
Basic Chemistry
By Karen C. Timberlake, William E. TimberlakeBasic Chemistry
-
Basic Chemistry, Books a la Carte Edition
By Karen C. TimberlakeBasic Chemistry, Books a la Carte Edition
-
Essential Laboratory Manual for General, Organic and Biological Chemistry
By Karen C. TimberlakeEssential Laboratory Manual for General, Organic and Biological Chemistry
-
Basic Chemistry, Global Edition
By Karen C. Timberlake, Bill TimberlakeThe main objective in writing this text is to make the study of chemistry an engaging and a positive experience for students by relating the structure and behaviour of matter to real life.
-
General, Organic, and Biological Chemistry: An Integrated Approach
By Karen C. Timberlake, Laura D. Frost, Todd S. DealThe eText pages look exactly like the printed text, and include powerful interactive and customization functions. This is the product access code card for MasteringChemistry with Pearson eText and does not include the actual bound book.
-
Chemistry: An Introduction to General, Organic, and Biological Chemistry
By Karen C. TimberlakeHealth, Environmental, and Green Chemistry Notes throughout the text relate chemistry chapters to real-life topics in health, the environment, and medicine that are interesting and motivating to students.