Quasi-Exactly Solvable Models in Quantum Mechanics

Download or Read eBook Quasi-Exactly Solvable Models in Quantum Mechanics PDF written by A.G Ushveridze and published by CRC Press. This book was released on 1994-01-01 with total page 490 pages. Available in PDF, EPUB and Kindle.
Quasi-Exactly Solvable Models in Quantum Mechanics
Author :
Publisher : CRC Press
Total Pages : 490
Release :
ISBN-10 : 0750302666
ISBN-13 : 9780750302661
Rating : 4/5 (66 Downloads)

Book Synopsis Quasi-Exactly Solvable Models in Quantum Mechanics by : A.G Ushveridze

Book excerpt: Exactly solvable models, that is, models with explicitly and completely diagonalizable Hamiltonians are too few in number and insufficiently diverse to meet the requirements of modern quantum physics. Quasi-exactly solvable (QES) models (whose Hamiltonians admit an explicit diagonalization only for some limited segments of the spectrum) provide a practical way forward. Although QES models are a recent discovery, the results are already numerous. Collecting the results of QES models in a unified and accessible form, Quasi-Exactly Solvable Models in Quantum Mechanics provides an invaluable resource for physicists using quantum mechanics and applied mathematicians dealing with linear differential equations. By generalizing from one-dimensional QES models, the expert author constructs the general theory of QES problems in quantum mechanics. He describes the connections between QES models and completely integrable theories of magnetic chains, determines the spectra of QES Schrödinger equations using the Bethe-Iansatz solution of the Gaudin model, discusses hidden symmetry properties of QES Hamiltonians, and explains various Lie algebraic and analytic approaches to the problem of quasi-exact solubility in quantum mechanics. Because the applications of QES models are very wide, such as, for investigating non-perturbative phenomena or as a good approximation to exactly non-solvable problems, researchers in quantum mechanics-related fields cannot afford to be unaware of the possibilities of QES models.


Quasi-Exactly Solvable Models in Quantum Mechanics Related Books

Quasi-Exactly Solvable Models in Quantum Mechanics
Language: en
Pages: 490
Authors: A.G Ushveridze
Categories: Science
Type: BOOK - Published: 1994-01-01 - Publisher: CRC Press

DOWNLOAD EBOOK

Exactly solvable models, that is, models with explicitly and completely diagonalizable Hamiltonians are too few in number and insufficiently diverse to meet the
Quasi-Exactly Solvable Models in Quantum Mechanics
Language: en
Pages: 490
Authors: A.G Ushveridze
Categories: Science
Type: BOOK - Published: 2017-07-12 - Publisher: Routledge

DOWNLOAD EBOOK

Exactly solvable models, that is, models with explicitly and completely diagonalizable Hamiltonians are too few in number and insufficiently diverse to meet the
Thermodynamics of One-Dimensional Solvable Models
Language: en
Pages: 268
Authors: Minoru Takahashi
Categories: Science
Type: BOOK - Published: 1999-03-28 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

Exactly solvable models are very important in physics from a theoretical point of view and also from the experimentalist's perspective, because in such cases th
Exactly Solved Models in Statistical Mechanics
Language: en
Pages: 499
Authors: Rodney J. Baxter
Categories: Science
Type: BOOK - Published: 2016-06-12 - Publisher: Elsevier

DOWNLOAD EBOOK

Exactly Solved Models in Statistical Mechanics
Exactly Solvable Models In Many-body Theory
Language: en
Pages: 347
Authors: Norman H March
Categories: Science
Type: BOOK - Published: 2016-05-27 - Publisher: World Scientific

DOWNLOAD EBOOK

The book reviews several theoretical, mostly exactly solvable, models for selected systems in condensed states of matter, including the solid, liquid, and disor