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Prog. Theor. Phys. Vol. 23 No. 5 (1960) pp. 787-798

Excitations in a High Density Electron Gas. I

Tunemaru Usui

Institute for the Study of Metals, University of Chicago, Chicago 37, Illinois, U.S.A.
and
College of General Education, University of Tokyo, Meguro-ku, Tokyo, Japan

(Received December 22, 1959)

Abstract:

A new systematical method which enables us to describe an electron gas in terms of bosons is developed. This boson corresponds to an “exciton”, i.e. a pair of an electron outside the Fermi sphere and a hole inside. The formalism is particularly suitable to the system at high density, as suggested by Sawada's discussion of the same system. As a straightforward application, the effect of electron exchange on the plasma frequency is calculated. The result coincides with that of a Hartree-Fock treatment.

URL : http://ptp.ipap.jp/link?PTP/23/787/
DOI : 10.1143/PTP.23.787

[ Full Text PDF : FREE ACCESS (706K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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References:

1. K. Sawada, Phys. Rev. 106 (1957), 372[APS].
2. G. Wentzel, Phys. Rev. 108 (1957), 1593[APS].
3. M. Gell-Mann and K. A. Brueckner, Phys. Rev. 106 (1957), 364[APS].
4. N. Matsudaira and T. Usui, Busseiron Kenkyu (Mimeographed circular in Japanese) 100 (1956), 76.
5. N. Bogoliubov, J. Phys. USSR 11 (1947), 23.
6. F. J. Dyson, Phys. Rev. 102 (1956), 1217[APS].
7. P. A. M. Dirac, Proc. Camb. Phil. Soc. 26 (1930), 376.
8. R. A. Ferrell, Phys. Rev. 107 (1957), 450[APS].
9. V. P. Silin, Zhur. Exptl. i Teoret. Phys. 27 (1954), 269.

Citing Article(s) :

1. Journal of the Physical Society of Japan 74 (2005) pp. 1049-1066 :

   Exciton–Boson Formalism for Laser-excited Semiconductors and Its Application in Coherent Four-Wave Mixing Spectroscopy

   Hoang Ngoc Cam

2. Progress of Theoretical Physics Vol. 31 No. 6 (1964) pp. 1009-1025 :

   On the “Anharmonic Effects” on the Collective Oscillations in Spherical Even Nuclei. I

   Toshio Marumori, Masatoshi Yamamura and Akira Tokunaga

3. Progress of Theoretical Physics Vol. 33 No. 2 (1965) pp. 199-214 :

   On the Phonon-Quasiparticle Interactions in Spherical Odd Nuclei

   Masatoshi Yamamura

4. Progress of Theoretical Physics Vol. 37 No. 2 (1967) pp. 315-335 :

   On Applicability of the Random Phase Approximation to the Collective Excitation in Spherical Even Nuclei. I

   Akira Tokunaga

5. Progress of Theoretical Physics Vol. 57 No. 5 (1977) pp. 1554-1571 :

   A New Fermion Many-Body Theory Based on the SO(2N+1) Lie Algebra of the Fermion Operators

   Hideo Fukutome, Masatoshi Yamamura and Seiya Nishiyama

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