Get Quantum Theory: A Mathematical Approach PDF

By Peter Bongaarts

ISBN-10: 3319095609

ISBN-13: 9783319095608

ISBN-10: 3319095617

ISBN-13: 9783319095615

This ebook used to be encouraged via the overall commentary that the nice theories of contemporary physics are in keeping with easy and obvious underlying mathematical buildings – a truth now not frequently emphasised in ordinary physics textbooks – which makes it effortless for mathematicians to appreciate their easy good points. it's a textbook on quantum conception meant for complex undergraduate or graduate scholars: arithmetic scholars attracted to sleek physics, and physics scholars who're attracted to the mathematical historical past of physics and are disillusioned with the extent of rigor in commonplace physics classes. extra usually, it deals a worthy source for all mathematicians attracted to glossy physics, and all physicists trying to find a better measure of mathematical precision with reference to the fundamental options of their field.

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Extra info for Quantum Theory: A Mathematical Approach

Sample text

2 Algebras: Generalities . . . . . . . . . . . 3 Normed Ã-Algebras: Banach Ã-Algebras. . . . . 4 C Ã -Algebras . . . . . . . . . . . . . . . 5 Von Neumann Algebras . . . . . . . . . . . 6 Smooth Ã-Algebras . . . . . . . . . . . . 7 Poisson and Poisson-Frèchet Ã-Algebras, etc. . . . 8 States. . . . . . . . . . . . . . . . . 9 States and Representations: The GNS Representation . References. . . . . . . . . .

405 405 405 407 408 409 413 414 415 416 417 List of Authors Cited. . . . . . . . . . . . . . . . . . . 419 Index of Persons . . . . . . . . . . . . . . . . . . . . 425 Subject Index . . . . . . . . . . . . . . . . . . . . . 429 26 Dirac’s Bra-Ket Formalism . . . . . . . . . 1 Introduction . . . . . . . . . . . . 2 A Vector Space V and Its Dual V Ã . . . . 3 Dirac’s Use of This Triple ðV; V Ã ; JÞ .

3 Normed Ã-Algebras: Banach Ã-Algebras. . . . . 4 C Ã -Algebras . . . . . . . . . . . . . . . 5 Von Neumann Algebras . . . . . . . . . . . 6 Smooth Ã-Algebras . . . . . . . . . . . . 7 Poisson and Poisson-Frèchet Ã-Algebras, etc. . . . 8 States. . . . . . . . . . . . . . . . . 9 States and Representations: The GNS Representation . References. . . . . . . . . . . . . . . . . . . . . . . . . . .

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Quantum Theory: A Mathematical Approach by Peter Bongaarts


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