Quantum three-body problems |
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Authors: | MA Zhongqi |
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Institution: | Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100039, China |
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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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Keywords: | quantum three-body problems Schr?dinger equation separation of the rotational degrees of freedom |
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