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Construction of (J J)−1 in the Chandler–Gibson reaction theory
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Construction of (J J)−1 in the Chandler–Gibson reaction theory

Wayne Polyzou
Journal of mathematical physics, Vol.22(12), pp.2854-2857
12/1981
DOI: 10.1063/1.525166

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Abstract

We exhibit a technique to construct formally the operators (J J*)−1 and (JΠJ*)−1 in the Chandler–Gibson theory. Our construction is based on integral equations whose kernels can be made contractive with an appropriate choice of parameters. We discuss uniqueness and give representations of the solutions as uniformly convergent series.
MANY−BODY PROBLEM HILBERT SPACE QUANTUM OPERATORS INTEGRAL EQUATIONS HAMILTONIANS INTERACTIONS BOUND STATE

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