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Density Excitation Spectrum of the One‐Dimensional Fermi Gas
Author(s) -
Apostol M.,
Corciovei A.,
Stoica S.
Publication year - 1981
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221030145
Subject(s) - fermi gas , physics , fermi gamma ray space telescope , excitation , dispersion relation , condensed matter physics , momentum (technical analysis) , spectrum (functional analysis) , scattering , dispersion (optics) , fermion , atomic physics , quantum mechanics , electron , finance , economics
The collective excitations of the particle‐density fluctuations are studied in the one‐dimensional Fermi gas by means of the generator coordinate method. The dispersion relation are obtained both, for the forward and backward scattering interaction. It is shown that for repulsive interaction a gap occurs in the frequency of the backscattering excitations at wavevectors equal to twice the Fermi momentum.