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一次元の三体系束縛状態の解

康雄 宗像

Published Dec 25, 1988• 0 citations
OpenAlex

Abstract

I solve the one-dimensional three-body bound state problem interacting pairwise δ function. I find symmetric conditions on the masses and the interaction strengths for the existence of a simple type of exact solutions. I find also a symmetric form of the Fourier transform of the bound state wave function.

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An exactly soluble one-dimensional three-body problem is presented, in which the interaction between the particles consists of local two-body potentials between each two particles. Infinitely high step functions are chosen for the form of the three potential functions. This interaction allows only three-body bound states and no continuum states. We have considered three different choices of the mass ratios of the three particles and we give formulas in closed form for the energies and for the wavefunctions of all states.
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