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原子核多体问题的玻色子-费米子描述

A BOSON-FERMION DESCIPTION OF THE NUCLEAR MANY-BODY PROBLEM

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【作者】 杨泽森钟毓澍齐辉杨立铭

【Author】 YANG ZE-SEN ZHONG YU-SHU QI HUI YANG LI-MING (Department of Physics, Peking University)

【机构】 北京大学物理系北京大学物理系

【摘要】 本文建立了一种在处理原子核多体问题时可以灵活地采用玻色变数与费米变数的理论形式,它原则上允许应用于与原来的费米型态空间等价的任何一个物理态空间.文中借助于玻色子和费米子产生湮没算符之间通常的对易反对易关系式,构成一个广义态空间,再从中建立与原来的费米型态空间等价的物理子空间系列,给出了各个不同的等价物理子空间之间的变换关系,并求出各类算符在这种子空间中的等效算符.

【Abstract】 A new formalism of the nuclear many-body problem is established in which one ean work with various physical state vector spaces consisting of both Fermions and Bosons, all being equivalent to the original one consisting only of Fermions.With the help of the usual commutation relations and anticommutation relations between the annihilation and creation operators of Boson and Fermion, a generalized state vector space is established, which contains all the physical spaces each being equivalent to the original physical space in terms of pure Fermion operators. Transformation between the state vectors in various equivalent physical spaces are constructed. Basic operators in the original state space are transformed into effective operators in the new physical spaces.

  • 【文献出处】 高能物理与核物理 ,High Energy Physics and Unclear Physics , 编辑部邮箱 ,1978年02期
  • 【被引频次】5
  • 【下载频次】81
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