An Introduction to Hilbert Space and Quantum Logic - Couverture rigide

Livre 6 sur 76: Problem Books in Mathematics

Cohen, David W.

 
9780387968704: An Introduction to Hilbert Space and Quantum Logic
Couverture rigide
ISBN 10 : 0387968709 ISBN 13 : 9780387968704
Editeur : Springer-Verlag New York Inc., 1989

Synopsis

Historically, nonclassical physics developed in three stages. First came a collection of ad hoc assumptions and then a cookbook of equations known as "quantum mechanics". The equations and their philosophical underpinnings were then collected into a model based on the mathematics of Hilbert space. From the Hilbert space model came the abstaction of "quantum logics". This book explores all three stages, but not in historical order. Instead, in an effort to illustrate how physics and abstract mathematics influence each other we hop back and forth between a purely mathematical development of Hilbert space, and a physically motivated definition of a logic, partially linking the two throughout, and then bringing them together at the deepest level in the last two chapters. This book should be accessible to undergraduate and beginning graduate students in both mathematics and physics. The only strict prerequisites are calculus and linear algebra, but the level of mathematical sophistication assumes at least one or two intermediate courses, for example in mathematical analysis or advanced calculus. No background in physics is assumed.

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

Présentation de l'éditeur

Historically, nonclassical physics developed in three stages. First came a collection of ad hoc assumptions and then a cookbook of equations known as "quantum mechanics" The equations and their philosophical underpinnings were then collected into a model based on the mathematics of Hilbert space. From the Hilbert space model came the abstaction of "quantum logics" This book explores all three stages, but not in historical order. Instead, in an effort to illustrate how physics and abstract mathematics influence each other we hop back and forth between a purely mathematical development of Hilbert space, and a physically motivated definition of a logic, partially linking the two throughout, and then bringing them together at the deepest level in the last two chapters. This book should be accessible to undergraduate and beginning graduate students in both mathematics and physics. The only strict prerequisites are calculus and linear algebra, but the level of mathematical sophistication assumes at least one or two intermediate courses, for example in mathematical analysis or advanced calculus. No background in physics is assumed.

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
1989
Langue
anglais
ISBN 10 
0387968709
ISBN 13 
9780387968704
Reliure
Relié
Nombre de pages
161
Coordonnées du fabricant
non disponible
Personne responsable
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Autres éditions populaires du même titre

9781461388432: An Introduction to Hilbert Space and Quantum Logic

Edition présentée

ISBN 10 :  1461388430 ISBN 13 :  9781461388432
Editeur : Springer, 2011
Couverture souple