Linearity, Symmetry, and Prediction in the Hydrogen Atom - Couverture rigide

Livre 19 sur 168: Undergraduate Texts in Mathematics

Singer, Stephanie Frank

 
9780387246376: Linearity, Symmetry, and Prediction in the Hydrogen Atom
Couverture rigide
ISBN 10 : 0387246371 ISBN 13 : 9780387246376
Editeur : Springer-Verlag New York Inc., 2005

Synopsis

This undergraduate textbook concentrates on how to make predictions about dimensions of the basic states of a quantum system from only two ingredients: the symmetry and the linear model of quantum mechanics. This method, known as representation theory or group theory, combines three core mathematical subjects, namely, linear algebra, analysis and abstract algebra and finds wide applications in crystallography, classification of manifolds with symmetry, atomic structure, and so on. The reader is first introduced to an important example of a quantum system with symmetry, the single electron in an hydrogen atom; and then the reader is given just enough mathematical tools to make predictions about the numbers of each kind of electronic orbital based solely on the physical spherical symmetry of the hydrogen atom. The final chapters address the related ideas of quantum spin, measurement and entanglement.

This user-friendly exposition, driven by numerous examples and exercises, requires a solid background in calculus and familiarity with either linear algebra or advanced quantum mechanics. This book will benefit students in mathematics, physics and chemistry, as well as a literate general readership.

A separate solutions manual is available to instructors.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l'auteur

Stephanie Frank Singer received her Ph.D. in Mathematics from the Courant Institute in 1991. In 2002 she resigned her tenured professorship at Haverford College. Since then she has been writing and consulting independently. Her first book was Symmetry In Mechanics: A Gentle, Modern Introduction.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer-Verlag New York Inc.
Date d'édition
2005
Langue
anglais
ISBN 10 
0387246371
ISBN 13 
9780387246376
Reliure
Relié
Nombre de pages
412
Coordonnées du fabricant
non disponible
Personne responsable
CMN Printpool Inh. Mathis Neumann
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Friedrich-Karl-Str. 9
Hamburg
Allemagne

Autres éditions populaires du même titre

9781441920355: Linearity, Symmetry, and Prediction in the Hydrogen Atom

Edition présentée

ISBN 10 :  1441920358 ISBN 13 :  9781441920355
Editeur : Springer, 2010
Couverture souple