Excitation of Density Waves in a Condensed Boson System
Author(s) -
Noboru Takimoto
Publication year - 1964
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.31.399
Subject(s) - physics , excitation , dispersion relation , condensed matter physics , quantum electrodynamics , fermi gamma ray space telescope , boson , resistive touchscreen , dispersion (optics) , plane (geometry) , constant (computer programming) , quantum mechanics , geometry , mathematics , electrical engineering , engineering , computer science , programming language
By the use of the ·generalized Thomas-Fermi method a dispersion relation for the density waves in a condensed boson system is derived. Then a discussion is given of a critical phenomenon involving the excitation of these waves by particles injected with a given velocity (v) into the system. It is shown that, provided the imaginary part of a certain admittance constant is very small, a criti,cal velocity (vc) can be defined in the same way as was discussed first by Landau; above this value of velocity the system exerts a strong resistive force (F) on the injected particles. It is also shown that, for O
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