Bound states and critical behavior of the Yukawa potential  

作　　者：LI Yongyao1,LUO Xiangqian1 & Helmut Krōger2 1. Department of Physics,Sun Yat-sen University,Guangzhou 510275,China 2.Département de Physique,Université Laval,Québec G1K 7P4,Canada 

出　　处：《Science China(Physics,Mechanics & Astronomy)》2006年第1期60-71,共12页中国科学：物理学、力学、天文学（英文版）

基　　金：the National Natural Science Foundation of China (Grant No. 10235040); the Education Ministry of China (Grant No. 105135); Chinese Academy of Sciences (Grant No. KJCX2-SW-N10); Guangdong Provincial Natural Science Foundation (Grant No. 05101821).

摘　　要：We investigate the bound states of the Yukawa potential V(r)=-λexp(-αr)/r, using different algorithms: solving the Schrodinger equation numerically and our Monte Carlo Hamiltonian approach. There is a critical α = αC, above which no bound state exists. We study the relation between αC and A for various angular momentum quantum number l. and find in atomic units, αC(l) = λ[A1 exp(-l/B1) + A2exp(-l/B2)], with A1 = 1.020(18), B1 = 0.443(14), A2 = 0.170(17), and B2 = 2.490(180).We investigate the bound states of the Yukawa potential V(r)=-λexp(-αr)/r, using different algorithms: solving the Schrodinger equation numerically and our Monte Carlo Hamiltonian approach. There is a critical α = αC, above which no bound state exists. We study the relation between αC and A for various angular momentum quantum number l. and find in atomic units, αC(l) = λ[A1 exp(-l/B1) + A2exp(-l/B2)], with A1 = 1.020(18), B1 = 0.443(14), A2 = 0.170(17), and B2 = 2.490(180).

关 键 词：Yukawa potential bound states critical behavior. 

分 类 号：O562.1[理学—原子与分子物理]