scholarly journals Einstein’s quantum theory of the monatomic ideal gas: non-statistical arguments for a new statistics

2010 ◽  
Vol 64 (5) ◽  
pp. 561-612 ◽  
Author(s):  
Enric Pérez ◽  
Tilman Sauer
Author(s):  
Andrea Woody ◽  
Clark Glymour

In the late middle ages, chemistry was the science and technology closest to philosophy, the material realization of the method of analysis and synthesis. No longer. Contemporary philosophy is concerned with many sciences—physics, psychology, biology, linguistics, economics—but chemistry is not among them. Why not? Every discipline has particular problems with some philosophical coloring. Those in quantum theory are famous; those in psychology seem endless; those in biology and economics seem more sparse and esoteric. If, for whatever reason, one’s concern is the conceptual or theoretical problems of a particular science, there is no substitute for that science, and chemistry is just one among others. Certain sciences naturally touch on substantive areas of traditional philosophical concern: quantum theory on metaphysics, for example, psychology on the philosophy of mind, and economics and statistics on theories of rationality. In these cases, there is a special interest in particular sciences because they may reform prior philosophical theories or recast philosophical issues or, conversely, because philosophy may inform these subjects in fundamental ways. That is not true, in any obvious way, of chemistry. So what good, then, what special value, does chemistry offer contemporary philosophy of science? Typically philosophical problems, even problems in philosophy of science, are not confined to a particular science. For general problems—problems about representation, inference, discovery, explanation, realism, intertheoretic and interdisciplinary relations, and so on—what is needed are scientific illustrations that go to the heart of the matter without requiring specialized technical knowledge of the reader. The science needed for most philosophy is familiar, not esoteric, right in the middle of things, mature and diverse enough to illustrate a variety of fundamental issues. Almost uniquely, chemistry fits the description. In philosophy of science, too often an effort gains in weight and seriousness merely because it requires mastery of an intricate and arcane subject, regardless of the philosophical interest of what it says. Yet, surely, there is something contrived, even phony, in illustrating a philosophical point with a discussion of the top quark if the point could be shown as well with a discussion of the ideal gas law.


Physica ◽  
1936 ◽  
Vol 3 (8) ◽  
pp. 729-745 ◽  
Author(s):  
George E. Uhlenbeck ◽  
Erich Beth

The development of the electron theory of metals from Drude’s free electron picture to Bloch’s quantum mechanical treatment of electrons in crystal lattices reflects in structure the evolution of quantum mechanics itself. As in that development, the steps leading to the quantum theory of metals may be divided into three periods: classical, 1900-26; semi-classical, 1926-8; and modern, late 1928 onwards. The classical period was dominated by the model of Drude and Lorentz in which a metal contained an ideal gas of conduction electrons governed by kinetic theory. Although the failures and contradictions of the model were strikingly apparent by World War I, few useful new concepts were added until Pauli’s crucial application in 1926 of Fermi-Dirac statistics to metals opened up the semi-classical period. In the following two years Sommerfeld, and others in his circle, by further application of the new statistics within the framework of the classical Drude-Lorentz theory, were able to resolve most of that theory’s outstanding difficulties. But it was not until Bloch’s paper in August 1928 that the full machinery of quantum mechanics, developed in 1925-6, was brought to bear on solids, thereby spearheading the creation between 1928 and 1933, by the first generation of theoretical solid-state physicists including Peierls, Wilson, Mott and others, of the modern quantum theory of solids.


Physica ◽  
1937 ◽  
Vol 4 (10) ◽  
pp. 915-924 ◽  
Author(s):  
Erich Beth ◽  
George E. Uhlenbeck

1998 ◽  
Vol 45 (2) ◽  
pp. 377-402 ◽  
Author(s):  
EDUARD SCHMIDT , JOHN JEFFERS , STEPHEN M.

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