Algebraic Approach to Simple Quantum Systems: With Applications To Perturbation Theory - Tapa blanda

Adams, Barry G.

 
9783540578017: Algebraic Approach to Simple Quantum Systems: With Applications To Perturbation Theory
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ISBN 10: 3540578013 ISBN 13: 9783540578017
Editorial: Springer, 2013

Sinopsis

This book provides an introduction to the use of algebraic methods and sym­ bolic computation for simple quantum systems with applications to large order perturbation theory. It is the first book to integrate Lie algebras, algebraic perturbation theory and symbolic computation in a form suitable for students and researchers in theoretical and computational chemistry and is conveniently divided into two parts. The first part, Chapters 1 to 6, provides a pedagogical introduction to the important Lie algebras so(3), so(2,1), so(4) and so(4,2) needed for the study of simple quantum systems such as the D-dimensional hydrogen atom and harmonic oscillator. This material is suitable for advanced undergraduate and beginning graduate students. Of particular importance is the use of so(2,1) in Chapter 4 as a spectrum generating algebra for several important systems such as the non-relativistic hydrogen atom and the relativistic Klein-Gordon and Dirac equations. This approach provides an interesting and important alternative to the usual textbook approach using series solutions of differential equations.

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Reseña del editor

This book provides an introduction to the use of algebraic methods and sym­ bolic computation for simple quantum systems with applications to large order perturbation theory. It is the first book to integrate Lie algebras, algebraic perturbation theory and symbolic computation in a form suitable for students and researchers in theoretical and computational chemistry and is conveniently divided into two parts. The first part, Chapters 1 to 6, provides a pedagogical introduction to the important Lie algebras so(3), so(2,1), so(4) and so(4,2) needed for the study of simple quantum systems such as the D-dimensional hydrogen atom and harmonic oscillator. This material is suitable for advanced undergraduate and beginning graduate students. Of particular importance is the use of so(2,1) in Chapter 4 as a spectrum generating algebra for several important systems such as the non-relativistic hydrogen atom and the relativistic Klein-Gordon and Dirac equations. This approach provides an interesting and important alternative to the usual textbook approach using series solutions of differential equations.

Reseña del editor

The author aims this text primarily at advanced undergraduates and first-year graduate students in theoretical and computational chemistry. The text begins with a pedagogic introduction to the Lie algebras needed for the study of simple quantum systems such as the N-dimensional hydrogen atom and the harmonic oscillator. The second part presents applications of these algebraic methods to the large order perturbation theory of Stark, Zeeman and spherically symmetric perturbation potentials, using symbolic computation and the Maple computer algebra system. A diskette containing the programs and datafiles from the book's problems and examples is included.

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Editorial
Springer
Año de publicación
2013
Idioma
Inglés
ISBN 10 
3540578013
ISBN 13 
9783540578017
Encuadernación
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Número de páginas
468
Contacto del fabricante
no disponible
Persona responsable
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Hamburg
Alemania

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9780387578019: Algebraic Approach to Simple Quantum Systems: With Applications to Perturbation Theory/Book and Disk

Edición Destacada

ISBN 10:  0387578013 ISBN 13:  9780387578019
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