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math-ph2004
Fredholm's Minors of Arbitrary Order: Their Representations as a Determinant of Resolvents and in Terms of Free Fermions and an Explicit Formula for Their Functional Derivative
Joshua Feinberg
We study the Fredholm minors associated with a Fredholm equation of the second type. We present a couple of new linear recursion relations involving the th and th minors, w…
math-ph2004
The Response to a Perturbation in the Reflection Amplitude
Joshua Feinberg
We apply inverse scattering theory to calculate the functional derivative of the potential and wave function of a one-dimensional Schrödinger operator with respect…