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De Gruyter eBooks

EXTRACT FROM PREFACE TO THE GERMAN EDITION

Arthur Haas

Published Dec 31, 1927• 0 citations
Publisher

Abstract

THE present book has been compiled from lectures which I delivered at the University of Vienna. The object of these lectures was to explain the fundamental ideas and the most important consequences of modern atomic theory in a clear and elementary fashion, avoiding the use of higher mathematics. Since only a " school" knowledge of physics is assumed on the part of the reader I hope that this book may be of use, not merely to physicists, but also to chemists and even, perhaps, to those who, without possessing any great knowledge of science, wish to learn something of atomic theory. . . .

DOI
10.1515/9783112335529-001

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THE present book has been compiled from lectures which I delivered at the University of Vienna. The object of these lectures was to explain the fundamental ideas and the most important consequences of modern atomic theory in a clear and elementary fashion, avoiding the use of higher mathematics. Since only a " school" knowledge of physics is assumed on the part of the reader I hope that this book may be of use, not merely to physicists, but also to chemists and even, perhaps, to those who, without possessing any great knowledge of science, wish to learn something of atomic theory. . . .
The topics of this book are the mathematical foundations of non-relativistic quantum mechanics and the mathematical theory they require. The main characteristic of the book is that the mathematics is developed assuming familiarity with elementary analysis only. Moreover, all the proofs are carried out in detail. These features make the book easily accessible to readers with only the mathematical training offered by undergraduate education in mathematics or in physics, and also ideal for individual study. The principles of quantum mechanics are discussed with complete mathematical accuracy and an effort is made to always trace them back to the experimental reality that lies at their root. The treatment of quantum mechanics is axiomatic, with definitions followed by propositions proved in a mathematical fashion. No previous knowledge of quantum mechanics is required. This book is designed so that parts of it can be easily used for various courses in mathematics and mathematical physics, as suggested in the Preface. The book is of interest to researchers and graduate students in functional analysis, who can see how closely an important part of their chosen field is linked with quantum mechanics, and also to physicists, who can see how the abstract language of functional analysis brings unity to the apparently distinct approaches employed in quantum theory.
Abstract This book provides a bridge between the basic principles of physics learned as an undergraduate and the skills and knowledge required for advanced study and research in the exciting field of atomic physics. The text is organized in a unique and versatile format --- as a collection of problems, hints, detailed solutions, and in-depth tutorials. This enables the reader to open the book at any page and get a solid introduction to subjects on the cutting edge of atomic physics, such as frequency comb metrology, tests of fundamental symmetries with atoms, atomic magnetometers, atom trapping and cooling, and Bose-Einstein condensates. The text also includes problems and tutorials on important basics that every practicing atomic physicist should know, but approached from the perspective of experimentalists: formal calculations are avoided where possible in favor of ‘back-of-the-envelope’ estimates, symmetry arguments, and physical analogies. The 2nd edition contains over 10 new problems, and includes important updates, revisions, and corrections of several problems of the 1st edition.
This book attempts to explain the core of physics, the origin of everything and anything. It explains why physics at the most fundamental level, and especially quantum mechanics, has moved away from naïve realism towards abstraction, and how this means that we can begin to answer some of the most fundamental questions which trouble us all, about space, time, matter, etc. It provides an original approach based on symmetry which will be of interest to professionals as well as lay people. In the book, virtually no prior knowledge is assumed, but the readers are allowed to participate in a discussion of very deep ideas. Throughout the book, the readers are guided through some important ideas which need to be explained mathematically. The key fact is that the mathematics is not about calculation but about concepts. Much of it can be simplified using coloured text and diagrams. This means that ideas which are important to everyone who wants to know how the universe is structured are not glossed over as being too difficult for anybody but the experts. This book is written for a wide audience. Experts will gain a great deal, but so will lay readers. This would be an ideal book for students to read before progressing to another book by the author, The Foundations of Physical Law.
In the course of lectures on quantum mechanics delivered for the undergraduate students of this university I have encountered a number of examples of more or less novelty and interest, which I want here in a series of papers to present before a wider circle. Since the familiarity with all kinds of problems leads eventually to a better understanding of quantum mechanics, just as we have been possessed with the complete master of classical mechanics only through the numerous exercises in schools, it would, I hope, be of some service for a future development of quantum theory. Some of matters I present are of older date and some of recent date.