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Linear Algebra for Quantum Theory (Hardback)

Per-Olov Lowden

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ISBN 10: 0471199583 / ISBN 13: 9780471199588
Published by John Wiley and Sons Ltd, United States, 1998
New Condition: New Hardcover
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Language: English. Brand new Book. Essential mathematical tools for the study of modern quantum theory. Linear Algebra for Quantum Theory offers an excellent survey of those aspects of set theory and the theory of linear spaces and their mappings that are indispensable to the study of quantum theory. Unlike more conventional treatments, this text postpones its discussion of the binary product concept until later chapters, thus allowing many important properties of the mappings to be derived without it. The book begins with a thorough exploration of set theory fundamentals, including mappings, cardinalities of sets, and arithmetic and theory of complex numbers. Next is an introduction to linear spaces, with coverage of linear operators, eigenvalue and the stability problem of linear operators, and matrices with special properties. Material on binary product spaces features self-adjoint operators in a space of indefinite metric, binary product spaces with a positive definite metric, properties of the Hilbert space, and more. The final section is devoted to axioms of quantum theory formulated as trace algebra. Throughout, chapter-end problem sets help reinforce absorption of the material while letting readers test their problem-solving skills. Ideal for advanced undergraduate and graduate students in theoretical and computational chemistry and physics, Linear Algebra for Quantum Theory provides the mathematical means necessary to access and understand the complex world of quantum theory. Bookseller Inventory # AAH9780471199588

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Bibliographic Details

Title: Linear Algebra for Quantum Theory (Hardback)

Publisher: John Wiley and Sons Ltd, United States

Publication Date: 1998

Binding: Hardback

Book Condition:New

About this title

Synopsis:

Essential mathematical tools for the study of modern quantumtheory.

Linear Algebra for Quantum Theory offers an excellent survey ofthose aspects of set theory and the theory of linear spaces andtheir mappings that are indispensable to the study of quantumtheory. Unlike more conventional treatments, this text postponesits discussion of the binary product concept until later chapters,thus allowing many important properties of the mappings to bederived without it.

The book begins with a thorough exploration of set theoryfundamentals, including mappings, cardinalities of sets, andarithmetic and theory of complex numbers. Next is an introductionto linear spaces, with coverage of linear operators, eigenvalue andthe stability problem of linear operators, and matrices withspecial properties.

Material on binary product spaces features self-adjoint operatorsin a space of indefinite metric, binary product spaces with apositive definite metric, properties of the Hilbert space, andmore. The final section is devoted to axioms of quantum theoryformulated as trace algebra. Throughout, chapter-end problem setshelp reinforce absorption of the material while letting readerstest their problem-solving skills.

Ideal for advanced undergraduate and graduate students intheoretical and computational chemistry and physics, Linear Algebrafor Quantum Theory provides the mathematical means necessary toaccess and understand the complex world of quantum theory.

From the Publisher:

Linear algebra is a mathematical tool used by quantum chemists and physicists to examine and describe the behavior of subatomic particles, atoms, and molecules. This work demonstrates how linear algebra is used both as a tool and a language in the study of quantum theory. The text demonstrates how to correlate to properties of a system and how mathematical manipulations can be used to emulate various phenomena.

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