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Quantum Theory: A Mathematical Approach

Autor Peter Bongaarts
en Limba Engleză Hardback – 10 dec 2014
This book was inspired by the general observation that the great theories of modern physics are based on simple and transparent underlying mathematical structures – a fact not usually emphasized in standard physics textbooks – which makes it easy for mathematicians to understand their basic features. 
It is a textbook on quantum theory intended for advanced undergraduate or graduate students: mathematics students interested in modern physics, and physics students who are interested in the mathematical background of physics and are dissatisfied with the level of rigor in standard physics courses. More generally, it offers a valuable resource for all mathematicians interested in modern physics, and all physicists looking for a higher degree of mathematical precision with regard to the basic concepts in their field.

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Specificații

ISBN-13: 9783319095608
ISBN-10: 3319095609
Pagini: 580
Ilustrații: XXXII, 445 p. 8 illus.
Dimensiuni: 155 x 235 x 32 mm
Greutate: 0.84 kg
Ediția:2015
Editura: Springer International Publishing
Colecția Springer
Locul publicării:Cham, Switzerland

Public țintă

Upper undergraduate

Cuprins

From the Contents: Introductory remarks.- Classical Mechanics.- Quantum Theory: General Principles.- Quantum Mechanics of a Single Particle I.- Quantum Mechanics of a Single Particle II.- The Harmonic Oscillator.- The Hydrogen Atom.- Spin.- Many-Particle Systems.- Quantum Statistical Physics.- Physical Theories as Algebraic Systems.- Quantization. The Classical Limit.- Towards Relativistic Quantum Theory.- An Introduction to Quantum Field Theory.- What is Not Treated in This Book.

Recenzii

“This is a text intended primarily for advanced undergraduate and graduate students in mathematics, and secondarily for physiscs students wanting an introduction to the modern mathematics utilized in quantum mechanics. It has an intentional algebraic flavor that provides a succinct means for comparison between quantum and classical machanics. … The reader could infer that quantum theory, with its axioms, is tidy and has a well-defined mathematical framework.” (Lawrence E. Thomas, Mathematical Reviews, July, 2015)
“This publication provides a quite interesting text book on quantum theory written having in mind advanced undergraduate or graduate students in mathematics, but which can also be a very nice reference text for physics students having an interest in the mathematical foundations of quantum theory.” (Bassano Vacchini, zbMATH 1315.81001, 2015)

Notă biografică

Peter Bongaarts taught for many years theoretical and mathematical physics at the University of Leiden, the Netherlands

Textul de pe ultima copertă

This book was inspired by the general observation that the great theories of modern physics are based on simple and transparent underlying mathematical structures – a fact not usually emphasized in standard physics textbooks – which makes it easy for mathematicians to understand their basic features. It is a textbook on quantum theory intended for advanced undergraduate or graduate students: mathematics students interested in modern physics, and physics students who are interested in the mathematical background of physics and are dissatisfied with the level of rigor in standard physics courses. More generally, it offers a valuable resource for all mathematicians interested in modern physics, and all physicists looking for a higher degree of mathematical precision with regard to the basic concepts in their field.

Caracteristici

A contribute to bridge the gap between physics and mathematics Provides a mathematically rigorous approach to quantum mechanics Treats extensively arguments that are rarely discussed in similar books, such as quantum statistical physics and relativistic quantum field theory Enriched with historical material Includes supplementary material: sn.pub/extras