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math-ph2006★ 1 cited
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…
math-ph2005
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…
math-ph2004
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…