An Introduction to Hilbert Space and Quantum Logic (Problem Books in Mathematics)

David W. Cohen

ISBN 10: 0387968709 ISBN 13: 9780387968704

Verlag: Springer, 1989

Sprache: Englisch

Zustand: Gebraucht - Gut Hardcover

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Bibliografische Details

Titel

An Introduction to Hilbert Space and Quantum Logic (Problem Books in Mathematics)

Verlag

Springer

Erscheinungsjahr

1989

Sprache

Englisch

ISBN-10

0387968709

ISBN-13

9780387968704

Einband

hardcover

Zustand

VERY GOOD

Zustand des Schutzumschlags

NONE

Gewicht

14�Unzen

Verk�uferkataloge

MATHEMATICS

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Inhaltsangabe

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.

Rese�a del editor

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.

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