HIGHER ORDER TRACE RELATIONS FOR SCHRÖDINGER OPERATORS
HIGHER ORDER TRACE RELATIONS FOR SCHRÖDINGER OPERATORS
复制标题
薛定谔算子的高阶迹关系
DOI：
10.1142/s0129055x95000347
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发表时间：
1995
影响因子：
1.8
通讯作者：
Z. Zhao
中科院分区：
文献类型：
--
作者：
F. Gesztesy;H. Holden;B. Simon;Z. Zhao
我们推广了最近证明的一般一维薛定谔算子的迹公式，该公式通过导出由函数ξ(x，λ)得到的势V(X)的迹关系来计算ξ(λ，x)dλ的矩，并描述了这些多项式与KdV不变量的关系。我们还讨论了与ξ边界条件相关的类似ξ的迹公式，而不是Dirichlet边界条件。
We extend the trace formula recently proven for general one-dimensional Schrodinger operators which obtains the potential V(x) from a function ξ(x, λ) by deriving trace relations computing moments of ξ(λ, x) dλ in terms of polynomials in the derivatives of V at x. We describe the relation of those polynomials to KdV invariants. We also discuss trace formulae for analogs of ξ associated with boundary conditions other than the Dirichlet boundary condition underlying ξ.