79 citations · 103 across the 9 of their papers we have counts for
9 papers
Composition of Two Potentials
Khosrow Chadan, Reido Kobayashi, Ryu Sasaki
Given two potentials V0 and V1 together with a certain nodeless solution ϕ0 of V0, we form a composition of these two potentials. If V1 is exactly solvable, the composition is exac…
Some Remarks on Effective Range Formula in Potential Scattering
Khosrow Chadan
In this paper, we present different proofs of very recent results on the necessary as well as sufficient conditions on the decrease of the potential at infinity for the validity of…
Positivity of Some Integral Transforms, and Generalization of Bochner's Theorem on Functions of Positive Type
Khosrow Chadan
Using the integral representations of the solutions of Schrödinger equation, which are the essential ingredients of the Gel'fand-Levitan and Marchenko integral equations of inverse…
Potentials for which the Radial Schrödinger Equation can be solved
Khosrow Chadan, Reido Kobayashi
In a previous paper, submitted to Journal of Physics A -- we presented an infinite class of potentials for which the radial Schrödinger equation at zero energy can be solved ex…
New Classes of Potentials for which the Radial Schrodinger Equation can be solved at Zero Energy
K. Chadan, R. Kobayashi
Given two spherically symmetric and short range potentials and V_1 for which the radial Schrodinger equation can be solved explicitely at zero energy, we show how to construc…
The Absence of Positive Energy Bound States for a Class of Nonlocal Potentials
Khosrow Chadan, Reido Kobayashi
We generalize in this paper a theorem of Titchmarsh for the positivity of Fourier sine integrals. We apply then the theorem to derive simple conditions for the absence of positive…