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Quantum three-body problems

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Abstract

A scheme for dealing with the quantum three-body problem is presented to separate the rotational degrees of freedom completely from the internal ones. In this method, the three-body Schrodinger equation is reduced to a system of coupled partial differential equations, depending only upon three internal variables. For arbitrary total orbital angular momentum / and the parity (− 1)l+λ (λ = 0 or 1), the number of the equations in this system isl = 1 −λ. By expanding the wavefunction with respect to a complete set of orthonormal basis functions, the system of equations is further reduced to a system of linear algebraic equations.

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Authors and Affiliations

  1. Institute of High Energy Physics, Chinese Academy of Sciences, 100039, Beijing, China

    Zhongqi Ma

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  1. Zhongqi Ma
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Correspondence to Zhongqi Ma.

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Ma, Z. Quantum three-body problems. Sci. China Ser. A-Math. 43, 1093–1107 (2000). https://doi.org/10.1007/BF02898245

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  • DOI: https://doi.org/10.1007/BF02898245

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