64 citations · 73 across the 15 of their papers we have counts for
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math-ph1999
A Feynman-Kac Formula for Unbounded Semigroups
Barry Simon
We prove a Feynman-Kac formula for Schrodinger operators with potentials V(x) that obey (for all ε> 0): V(x) \geq - ε|x|^2 - C_ε. Even though e^{-tH} is an unbounded operator, any…
math.SP1999
A new approach to inverse spectral theory, I. Fundamental formalism
Barry Simon
We present a new approach (distinct from Gel'fand-Levitan) to the theorem of Borg-Marchenko that the m-function (equivalently, spectral measure) for a finite interval or half-line…