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Exactly Solvable Models In Many-body Theory

2016-05-27 Science
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Release : 2016-05-27
Genre : Science
Kind : eBook
Book Rating : 16X/5 ( reviews)

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Book Synopsis Exactly Solvable Models In Many-body Theory by : Norman H March

Download or read book Exactly Solvable Models In Many-body Theory written by Norman H March. This book was released on 2016-05-27. Available in PDF, EPUB and Kindle. Book excerpt: The book reviews several theoretical, mostly exactly solvable, models for selected systems in condensed states of matter, including the solid, liquid, and disordered states, and for systems of few or many bodies, both with boson, fermion, or anyon statistics. Some attention is devoted to models for quantum liquids, including superconductors and superfluids. Open problems in relativistic fields and quantum gravity are also briefly reviewed.The book ranges almost comprehensively, but concisely, across several fields of theoretical physics of matter at various degrees of correlation and at different energy scales, with relevance to molecular, solid-state, and liquid-state physics, as well as to phase transitions, particularly for quantum liquids. Mostly exactly solvable models are presented, with attention also to their numerical approximation and, of course, to their relevance for experiments.

Exactly Solvable Models for Cluster and Many-body Condensed Matter Systems

2016 SCIENCE
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Release : 2016
Genre : SCIENCE
Kind : eBook
Book Rating : 158/5 ( reviews)

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Book Synopsis Exactly Solvable Models for Cluster and Many-body Condensed Matter Systems by : Norman Henry March

Download or read book Exactly Solvable Models for Cluster and Many-body Condensed Matter Systems written by Norman Henry March. This book was released on 2016. Available in PDF, EPUB and Kindle. Book excerpt:

Exactly Solved Models in Statistical Mechanics

2016-06-12 Science
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Release : 2016-06-12
Genre : Science
Kind : eBook
Book Rating : 943/5 ( reviews)

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Book Synopsis Exactly Solved Models in Statistical Mechanics by : Rodney J. Baxter

Download or read book Exactly Solved Models in Statistical Mechanics written by Rodney J. Baxter. This book was released on 2016-06-12. Available in PDF, EPUB and Kindle. Book excerpt: Exactly Solved Models in Statistical Mechanics

Solvable Models in Quantum Mechanics

2012-12-06 Science
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Release : 2012-12-06
Genre : Science
Kind : eBook
Book Rating : 013/5 ( reviews)

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Book Synopsis Solvable Models in Quantum Mechanics by : Sergio Albeverio

Download or read book Solvable Models in Quantum Mechanics written by Sergio Albeverio. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Next to the harmonic oscillator and the Coulomb potential the class of two-body models with point interactions is the only one where complete solutions are available. All mathematical and physical quantities can be calculated explicitly which makes this field of research important also for more complicated and realistic models in quantum mechanics. The detailed results allow their implementation in numerical codes to analyse properties of alloys, impurities, crystals and other features in solid state quantum physics. This monograph presents in a systematic way the mathematical approach and unifies results obtained in recent years. The student with a sound background in mathematics will get a deeper understanding of Schrödinger Operators and will see many examples which may eventually be used with profit in courses on quantum mechanics and solid state physics. The book has textbook potential in mathematical physics and is suitable for additional reading in various fields of theoretical quantum physics.

Solvable Models in Quantum Mechanics

2005 Science
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Release : 2005
Genre : Science
Kind : eBook
Book Rating : 242/5 ( reviews)

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Book Synopsis Solvable Models in Quantum Mechanics by : Sergio Albeverio

Download or read book Solvable Models in Quantum Mechanics written by Sergio Albeverio. This book was released on 2005. Available in PDF, EPUB and Kindle. Book excerpt: "This monograph presents a detailed study of a class of solvable models in quantum mechanics that describe the motion of a particle in a potential having support at the positions of a discrete (finite or infinite) set of point sources. Both situations–where the strengths of the sources and their locations are precisely known and where these are only known with a given probability distribution–are covered. The authors present a systematic mathematical approach to these models and illustrate its connections with previous heuristic derivations and computations. Results obtained by different methods in disparate contexts are thus unified and a systematic control over approximations to the models, in which the point interactions are replaced by more regular ones, is provided. The first edition of this book generated considerable interest for those learning advanced mathematical topics in quantum mechanics, especially those connected to the Schrödinger equations. This second edition includes a new appendix by Pavel Exner, who has prepared a summary of the progress made in the field since 1988. His summary, centering around two-body point interaction problems, is followed by a bibliography focusing on essential developments made since 1988. appendix by Pavel Exner, who has prepared a summary of the progress made in the field since 1988. His summary, centering around two-body point interaction problems, is followed by a bibliography focusing on essential developments made since 1988."--Résumé de l'éditeur.

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