2024-03-28T23:41:06Z
https://u-ryukyu.repo.nii.ac.jp/oai
oai:u-ryukyu.repo.nii.ac.jp:02006950
2022-10-31T03:12:10Z
1642837622505:1642837994858:1642837997689
1642838403551:1642838406414
The Ground State Energy of the Charged-Boson and -Fermion System at the High-Density Limit
Ginoza, Mitsuaki
Kanazawa, Hideo
宜野座, 光昭
金沢, 秀夫
open access
In the neutural system consisting of the charged-bosons and –nonrelativistic fermions, the contribution △ E of the interaction between components to the ground state energy at the high-density limit is calculated in the density parameter expansion by the method of canonical transformation. The bosons which are dressed in the interaction cloud specified by a canonical transformation parameter are introduced. They have acoustic phonon-like dispersion relation for our choice of the parameter. The energy △ E in the unit of n_2m_2e_2^4/2 is calculated exactly to the second term when the sound velocity is smaller than the Fermi velocity and is given by (△E)/((n_2m_2e_2^4/2))=-(4Q)/(3^<1/4>π^2α) (m_1|e_1|^<5/3>)/(m_2|e_2|^<5/3>r_2^<1/4>)+((m_1e_1logr_2)/(2πm_2e_2))^2+O(logr_2), where n_2 is the number density of the bosons with mass m_2 and charge e_2, r_2= (3/4πn_2 )^<1/3> m_2e_2^2, Q=2.6220・・・ ・・・, a=(4/9π)^< 1/3>, and m_1 and e_1 are mass and charge of fermion, respectively.
紀要論文
琉球大学理工学部
Science and Engineering Division, University of the Ryukyus
1973-03-01
eng
departmental bulletin paper
NA
http://hdl.handle.net/20.500.12000/23490
http://hdl.handle.net/20.500.12000/23490
https://u-ryukyu.repo.nii.ac.jp/records/2006950
AN0025080X
琉球大学理工学部紀要. 理学編
Bulletin of Science & Engineering Division, University of Ryukyus. Mathematics & natural sciences
16
42
57
https://u-ryukyu.repo.nii.ac.jp/record/2006950/files/No16p042.pdf