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No.16 (1973/03) >

Title  :  The Ground State Energy of the ChargedBoson and Fermion System at the HighDensity Limit 
Authors  :  Ginoza, Mitsuaki Kanazawa, Hideo 
Authors alternative  :  宜野座, 光昭 金沢, 秀夫 
Issue Date  :  1Mar1973 
Abstract  :  In the neutural system consisting of the chargedbosons and –nonrelativistic fermions, the contribution △ E of the interaction between components to the ground state energy at the highdensity 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 phononlike 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_1e_1^<5/3>)/(m_2e_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. 
Type Local  :  紀要論文 
Publisher  :  琉球大学理工学部 
URI  :  http://hdl.handle.net/20.500.12000/23490 
Citation  :  琉球大学理工学部紀要. 理学編 = Bulletin of Science & Engineering Division, University of Ryukyus. Mathematics & natural sciences no.16 p.42 57 
Appears in Collections  :  No.16 (1973/03)

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