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In this third volume of A Course in Mathematical Physics I have attempted not simply to introduce axioms and derive quantum mechanics from them, but also to progress to relevant applications. Reading the axiomatic litera ture often gives one the impression that it largely consists of making refined axioms, thereby freeing physics from any trace of down-to-earth residue and cutting it off from simpler ways of thinking. The goal pursued here, however, is to come up with concrete results that can be compared with experimental facts. Everything else should be regarded only as a side issue, and has been chosen for pragmatic reasons. It is precisely with this in mind that I feel it appropriate to draw upon the most modern mathematical methods. Only by their means can the logical fabric of quantum theory be woven with a smooth structure; in their absence, rough spots would . inevitably appear, especially in the theory of unbounded operators, where the details are too intricate to be comprehended easily. Great care has been taken to build up this mathematical weaponry as completely as possible, as it is also the basic arsenal of the next volume. This means that many proofs have been tucked away in the exercises. My greatest concern was to replace the ordinary cal culations of uncertain accuracy with better ones having error bounds, in order to raise the crude manners of theoretical physics to the more cultivated level of experimental physics.
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Table of contents (4 chapters)
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Front Matter
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Back Matter
Authors and Affiliations
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Bibliographic Information
Book Title: A Course in Mathematical Physics 3
Book Subtitle: Quantum Mechanics of Atoms and Molecules
Authors: Walter Thirring
DOI: https://doi.org/10.1007/978-3-7091-7523-1
Publisher: Springer Vienna
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media New York 1981
eBook ISBN: 978-3-7091-7523-1Published: 11 November 2013
Edition Number: 1
Number of Pages: VIII, 300
Topics: Quantum Physics, Quantum Information Technology, Spintronics, Atomic, Molecular, Optical and Plasma Physics