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Quantum three-body problems

Quantum three-body problems
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摘要 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. 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 l and the parity ( - 1)1+ λ (λ = 0 or 1), the number of the equations in this system is l + 1 - λ . By expanding the wavef unction with respect to a complete set of orthonormal basis functions, the system of equations is further reduced to a system of linear algebraic equations.
作者 马中骐
出处 《Science China Mathematics》 SCIE 2000年第10期1093-1107,共15页 中国科学:数学(英文版)
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