Equilibrium configuration of the one-dimensionaln-body problem with quadratic and inversely quadratic pair potentials
Equilibrium configuration of the one-dimensionaln-body problem with quadratic and inversely quadratic pair potentials
复制标题
具有二次和反二次对势的一维n体问题的平衡配置
DOI：
10.1007/bf02785163
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发表时间：
1977
期刊：
影响因子：
--
通讯作者：
F. Calogero
中科院分区：
文献类型：
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作者：
F. Calogero
平衡位置平均值xsub(j), j=1,2,....n个动力学行为为哈密顿量H=1/2 SIGMA sub(j=1)sup(n) (psub(j)sup(2) + xsub(j)sup(2) +SIGMA sub(j>K=1)sup(n) （xsub(j)-xsub(K))/sup -2/）的一维粒子的n与n次Hermite多项式的n个零点重合，即Hsub(n) (anti xsub(j))=0, j=1,2....n。
The equilibrium position average xsub(j), j=1,2,....n of n one-dimensional particles whose dynamical behaviour is characterized by the Hamiltonian H=1/2 SIGMA sub(j=1)sup(n) (psub(j)sup(2) + xsub(j)sup(2))+SIGMA sub(j>K=1)sup(n) (xsub(j)-xsub(K))/sup -2/ coincide with the n zeros of the Hermite polynomial of degree n, namely Hsub(n) (anti xsub(j))=0, j=1,2....n.