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The properties of a perfect Einstein-Bose gas at low temperatures

Published online by Cambridge University Press:  24 October 2008

R. H. Fowler  and
H. Jones
R. H. Fowler
Affiliation:
Trinity College
H. Jones
Affiliation:
Trinity College
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Extract

In a recent letter to Nature F. London(3) has called attention to a discontinuity in the derivative dCV/dT of the specific heat with respect to temperature which arises in a perfect Einstein-Bose gas at low temperatures. When discussing the properties of a perfect gas satisfying the Bose statistics, Einstein(1) remarked that at low temperatures something resembling a condensed phase should appear. The temperature at which this condensation should begin is given by the equation

where n is the number of particles of mass m per unit volume and the other symbols have their usual significance.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 34 , Issue 4 , October 1938 , pp. 573 - 576
Copyright
Copyright © Cambridge Philosophical Society 1938

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References

REFERENCES

(1)Einstein, A., Berliner Ber. (1925), p. 3.Google Scholar
(2)Fowler, R. H., Statistical mechanics, 2nd ed. (Cambridge, 1936), p. 53.Google Scholar
(3)London, F., Nature, 141 (1938), 643.CrossRefGoogle Scholar
(4)Uhlenbeck, G. E., Over Statistische Methoden in de Theorie der Quanta (Martinus Nijhoff, 1927), p. 70.Google Scholar