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用超对称幺正变换解双光子过程的Jaynes-Cummings模型
引用本文:刘汉俊. 用超对称幺正变换解双光子过程的Jaynes-Cummings模型[J]. 光子学报, 2000, 29(11): 998-1000
作者姓名:刘汉俊
作者单位:山东省昌潍师专物理系,潍坊,261043
摘    要:本文发现了描写双光子过程的Jaynes-Cummings哈密顿量的超对称结构.根据超对称量子力学理论,引入了超对称幺正变换使其哈密顿量对角化.从而,得到了它的本征值、本征态,同时也计算了态的演化和跃迁几率.

关 键 词:双光子Jaynes-Cummings模型  超对称幺正变换  波函数
收稿时间:2000-03-20

JAYNES-CUMMINGS MODEL FOR TWO-PHOTON PROCESSES SOLVED VIA SUPERSYMMETRIC UNITARY TRANSFORMATION
Liu Hanjun. JAYNES-CUMMINGS MODEL FOR TWO-PHOTON PROCESSES SOLVED VIA SUPERSYMMETRIC UNITARY TRANSFORMATION[J]. Acta Photonica Sinica, 2000, 29(11): 998-1000
Authors:Liu Hanjun
Affiliation:Department of Physics, Changwei Training College, Weifang 261043, China
Abstract:For Jaynes-Cummings model which can describe two-photon processes,it is found its supersymmetric structure.Based on supersymmetric mechanics,it is introduced supersymmetric unitary transformation to diagonalize the Hamiltonian.Therefore,its eigenvalues and eigenfunctions are obtained.The evolution of the states and transition probabilities are also calculated.
Keywords:Jaynes-Cummings model  Supersymmetric unitary transformation  Wave function
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