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K-Harmonics Methods and the Bound-State Spectrum of One-Dimensional Three-Body System

机译:K-谐波方法与一维三体系统的束缚态谱

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The symmetry properties of one-dimensional hyperspherical harmonics components have been investigated. For a system of three identical particles moving in one-dimension it is shown how to construct solutions of definite parity and definite transformation properties under permutation of any particle pair. General qualitative features of the spectrum of the one-dimensional system are deduced for particles satisfying Bose-Einstein, Fermi-Dirac and Boltzmann statistics. (Atomindex citation 16:007423)

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