Trace Formulae and Inverse Spectral Theory for Schrödinger Operators
نویسندگان
چکیده
We extend the well-known trace formula for Hill's equation to general one-dimensional Schrodinger operators. The new function <J , which we introduce, is used to study absolutely continuous spectrum and inverse problems. In this note we will consider one-dimensional Schrodinger operators d2 (IS) H = -j-1 + V(x) onL2(R;dx)
منابع مشابه
APPEARED IN BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY Volume 29, Number 2, October 1993, Pages 250-255 TRACE FORMULAE AND INVERSE SPECTRAL THEORY FOR SCHRÖDINGER OPERATORS
We extend the well-known trace formula for Hill’s equation to general one-dimensional Schrödinger operators. The new function ξ, which we introduce, is used to study absolutely continuous spectrum and inverse problems. In this note we will consider one-dimensional Schrödinger operators
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