Properties of certain matrices related to the equilibrium configuration of the one-dimensional many-body problems with the pair potentialsV 1(x)=−log ∣sinx∣ andV 2(x)=1/sin2 x
Tóm tắt
It is shown that at equilibrium certain matrices associated to the one-dimensional many-body problems with the pair potentialsV
1(x)=−log∣sinx∣ andV
2(x)=1/sin2
x have a very simple structure. These matrices are those that characterize the small oscillations of these systems around their equilibrium configurations, and, for the second system, the Lax matrices that demonstrate its integrability.
Tài liệu tham khảo
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