Quasi-Exactly Solvable Models in Quantum Mechanics - Tapa dura

Ushveridze, A.G

 
9780750302661: Quasi-Exactly Solvable Models in Quantum Mechanics
Tapa dura
ISBN 10: 0750302666 ISBN 13: 9780750302661
Editorial: CRC Press, 1994

Sinopsis

Collecting the results of QES models in a unified and accessible form, this book 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.

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Acerca del autor

Ushveridze\, A.G

De la contraportada

Exactly solvable models (that is, models with explicitly and completely diagnolizable hamiltonians) are too few in number, and sufficiently 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. This book collects them together, and expounds them in a unified and accessible form, providing an invaluable resource for any physicists using quantum mechanics and applied mathematicians dealing with linear differential equations. By generalizing from one-dimensional QES models. Alex Ushveridze 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 Schrodinger equations using the Bethe ansatz solution of the Gaudin model, discuss hidden symmetry properties of QES hamiltonians, and explains various Lie-algebraic and analytic approaches to the problem of quasi-exact solubility in quantum mechanics. The applications of QES models are very wide - for example for investigating non-perturbative phenomena, or as a good approximation to exactly non-solvable problems. Researchers in any field involving quantum mechanics cannot afford to be unaware of the possibilities of QES models.

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Editorial
CRC Press
Año de publicación
1994
Idioma
Inglés
ISBN 10 
0750302666
ISBN 13 
9780750302661
Encuadernación
Tapa dura
Número de edición
1
Número de páginas
480
Contacto del fabricante
no disponible
Persona responsable
no disponible

Otras ediciones populares con el mismo título

9780367402167: Quasi-Exactly Solvable Models in Quantum Mechanics

Edición Destacada

ISBN 10:  0367402165 ISBN 13:  9780367402167
Editorial: CRC Press, 2019
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