GROUND STATE OF A ONE-DIMENSIONAL N-BODY SYSTEM

GROUND STATE OF A ONE-DIMENSIONAL N-BODY SYSTEM
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DOI:
10.1063/1.1664821
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发表时间:
1969-01-01
影响因子:
1.3
通讯作者:
CALOGERO, F
CALOGERO, F
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
CALOGERO, F

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< jats: p>在一维空间中,考虑N个量子力学相等的粒子除受线性力(“调和势”)作用外,还受反立方力("离心势“)作用的问题.基态能量和相应的波函数的显式表达式展出。类似地显示了一类激发态。
< jats: p> The problem of N quantum-mechanical equal particles interacting pairwise by inverse-cube forces (``centrifugal potential'') in addition to linear forces (``harmonical potential'') is considered in a onedimensional space. An explicit expression for the ground-state energy and for the corresponding wavefunction is exhibited. A class of excited states is similarly displayed.