Higher Order Trace Relations for Schrödinger Operators
نویسندگان
چکیده
We extend the trace formula recently proven for general one-dimensional Schrödinger operators which obtains the potential V (x) from a function ξ(x,λ) by deriving trace relations computing moments of ξ(x,λ)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. §
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