| 用线性量子变换对角化二次型哈密顿量 |
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| 引用本文： | 刘汉俊,逯怀新.用线性量子变换对角化二次型哈密顿量[J].量子电子学报,2001,18(4):324-328. |
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| 作者姓名： | 刘汉俊 逯怀新 |
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| 作者单位： | 昌潍师范专科学校物理系, |
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| 摘 要： | 借助线性量子变换(LQT)理论,对n模玻色和费米子的二次型哈密顿量,我们给出了简洁的对角化形式.并且指出,对于n模玻色子耦合二次型哈密顿量,通过一个负幺正矩阵(它是复辛群SP(2n,c)的元素)可以把它对角化;对n模费米子耦合二次型哈密顿量,通过一个幺正矩阵(它是复费米群F(2n,c)的元素)可以把它对角化.
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| 关 键 词： | 二次型哈密顿量 量子变换 对角化 |
| 文章编号： | 1007-5461(2001)04-0324-05 |
| 收稿时间： | 2000/12/1 |
| 修稿时间： | 2000年12月1日 |
Diagonalization of Quadratic Hamiltonian by the Linear Quantum Transformation |
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| Liu Hanjun,Lu Huaixin.Diagonalization of Quadratic Hamiltonian by the Linear Quantum Transformation[J].Chinese Journal of Quantum Electronics,2001,18(4):324-328. |
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| Authors: | Liu Hanjun Lu Huaixin |
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| Abstract: | By the aid of the linear quantum transformation (LQT) theory, we give a concise diagonalization for n-mode boson and fermion of quadratic Hamiltonian. It is also pointed out that an n-mode boson coupled quadratic Hamiltonian can be diagonalized by a "negative unitary" matrix which is an element of complex symplectic group SP(2n, c), and an n-mode fermion coupled quadratic Hamiltonian can be diagonalized by a unitary matrix which is an element of complex fermion group F(2n, c). |
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| Keywords: | quadratic Hamiltonian quantum transformation diagonalization |
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