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Specific heat of a degenerate electron gas at high density

Gell-Mann, Murray (1957) Specific heat of a degenerate electron gas at high density. Physical Review, 106 (2). pp. 369-372. ISSN 0031-899X. http://resolver.caltech.edu/CaltechAUTHORS:GELpr57a

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Abstract

The methods of the preceding paper of Gell-Mann and Brueckner are generalized so that not only the ground state but also the low excited states of an electron gas can be discussed. The energy levels relative to the ground state are the same as those of a gas of independent particles where the energy of each particle (in rydbergs) is a certain function W(p) of its momentum (expressed in units of the Fermi momentum). The specific heat of the gas at low temperature is proportional to the density of single particle levels at the surface of the Fermi sea, or inversely proportional to (dW/dp)p=1. This last quantity is calculated for high density (small rs, where density is proportional to rs-3) and compared to the corresponding quantity for a free electron gas. The ratio is found to be 1+0.083rs[-lnrs-0.203]+higher terms in rs. The expansion is exact and may be compared with the approximate result of Pines, who finds 1+0.083rs[-lnrs+1.47]+….


Item Type:Article
Additional Information:©1957 The American Physical Society. Received 14 January 1957. The author would like to thank Dr. Richard Latter and Dr. W. J. Karzas of the RAND Corporation and Dr. Keith A. Brueckner of the University of Pennsylvania for many interesting discussions.
Record Number:CaltechAUTHORS:GELpr57a
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:GELpr57a
Alternative URL:http://dx.doi.org/10.1103/PhysRev.106.369
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3711
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:29 Jun 2006
Last Modified:26 Dec 2012 08:55

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