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Olivier Darrigol - From c-Numbers to q-Numbers: The Classical Analogy in the History of Quantum Theory

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    From c-Numbers to q-Numbers: The Classical Analogy in the History of Quantum Theory
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From c-Numbers to q-Numbers: The Classical Analogy in the History of Quantum Theory: summary, description and annotation

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The history of quantum theory is a maze of conceptual problems, through which Olivier Darrigol provides a lucid and learned guide, tracking the role of formal analogies between classical and quantum theory. From Plancks first introduction of the quantum of action to Diracs formulation of quantum mechanics, Darrigol illuminates not only the history of quantum theory but also the role of analogies in scientific thinking and theory change.Unlike previous works, which have tended to focus on qualitative, global arguments, Darrigols study follows the lines of mathematical reasoning and symbolizing and so is able to show the motivations of early quantum theorists more precisely--and provocatively--than ever before. Erudite and original, From c-Numbers to q-Numbers sets a new standard as a philosophically perceptive and mathematically precise history of quantum mechanics. For years to come it will influence historical and philosophical discussions of twentieth-century physics.

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Page ii
From c-Numbers to q-Numbers
Page iii
CALIFORNIA STUDIES IN THE HISTORY OF SCIENCE
J. L. HEILBRON, Editor
The Galileo Affair: A Documentary History, edited and translated by Maurice A. Finocchiaro
The New World, 1939-1946 (A History of the United States Atomic Energy Commission, volume 1), by Richard G. Hewlett and Oscar E. Anderson, Jr.
Atomic Shield, 1947-1952 (A History of the United States Atomic Energy Commission, volume 2), by Richard G. Hewlett and Francis Duncan
Atoms for Peace and War, 1953-1961: Eisenhower and the Atomic Energy Commission (A History of the United States Atomic Energy Commission, volume 3), by Richard G. Hewlett and Jack M. Holl
Lawrence and His Laboratory: A History of the Lawrence Berkeley Laboratory, Volume 1, by J. L. Heilbron and Robert W. Seidel
Scientific Growth: Essays on the Social Organization and Ethos of Science, by Joseph Ben-David, edited by Gad Freudenthal
Physics and Politics in Revolutionary Russia, by Paul R. Josephson
From c-Numbers to q-Numbers: The Classical Analogy in the History of Quantum Theory, by Olivier Darrigol
Page iv
From c-Numbers To q-Numbers
The Classical Analogy in the History of Quantum Theory
Olivier Darrigol
UNIVERSITY OF CALIFORNIA PRESS
Berkeley Los Angeles Oxford
Page v
University of California Press
Berkeley and Los Angeles, California
University of California Press
Oxford, England
Copyright 1992 by The Regents of the University of California
Library of Congress Cataloging-in-Publication Data
Darrigol, Olivier.
From c-numbers to q-numbers: the classical analogy in the history
of quantum theory / Olivier Darrigol.
p. cm. (California studies in the history of science)
Includes bibliographical references and index.
ISBN 0-520-07822-5
1. Quantum theoryHistory. I. Title. II. Series.
QC173.98.D37 1992
530.1'2'09dc20 91-42469
CIP
Printed in the United States of America
1 2 3 4 5 6 7 8 9
The paper used in this publication meets the minimum requirements
of American National Standard for Information SciencesPermanence
of Paper for Printed Library Materials, ANSI Z39.48-1984 Picture 2
Page vi
A mes Parents
Page vii
CONTENTS
Acknowledgments
xi
Conventions and Notations
xiii
Introduction
xv
Part A. Planck's Radiation Theory
Introduction
1. Concepts of Gas Theory
7
Picture 3
Maxwell's Collision Formula
7
Picture 4
Boltzmann's Irreversible Equations
13
Picture 5
The Nature of Irreversibility
15
Picture 6
Summary
19
2. Planck's Absolute Irreversibility
22
Picture 7
Against Atoms
22
Picture 8
Blackbody Radiation
24
Picture 9
Planck's Resonators
29
Picture 10
Summary
36
3. On Irreversible Radiation Processes
39
Picture 11
A Polemic with Boltzmann
39
Picture 12
Natural Radiation
41
Page viii
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