共查询到18条相似文献,搜索用时 484 毫秒
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本文利用Jordan-Wigner变换和不变本征算符法计算了低温下自旋为1/2的海森伯亚铁磁棱型链系统的元激发谱,得到了三支没有简并的元激发谱.利用不变本征算符法对系统的哈密顿量进行了对角化,并导出有限温度和外磁场下的系统的配分函数及磁化强度.在绝对零度与有限温度下,通过分析诸交换积分(J1,J2,J3,Jm)对系统的磁化强度随外磁场的变化规律,得到了系统的三个临界磁场强度(HCB,HCE,HCS),并从三支元激发的性质说明了三个临界磁场强度起源及系统的磁化强度随外磁场变化出现1/3磁化平台的起因. 相似文献
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利用不变本征算符法计算了X-Y-Z模型各向异性海森伯亚铁磁系统的自旋波能量,并讨论了此系统特殊情形下的自旋波能量及不变本征算符法的优点与不足. 相似文献
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利用不变本征算符法研究了三体耦合摆量子系统的简正频率及其对应的简正坐标与共轭动量,并对系统的哈密顿量进行了退耦合,得到了系统的明显的简正频率解析解.推导出在坐标表象中系统的精确波函数的解析解.但是,不变本征算符法对于计算系统哈密顿量中包含力学量的3次方及3次方以上的项时非常复杂. 相似文献
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在形变李代数理论的基础上,利用哈密顿算符和自然算符,构造出第一类Poschl-Teller势的非线性谱生成代数。该非线性代数能够完全确定势场的能量本征态集合和本征值谱,在适当的非线性算符变换下可以化为谐振子代数,显示了该系统具有新的对称性。 相似文献
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在形变李代数理论的基础上 ,利用哈密顿算符和自然算符 ,构造出第一类P schl Teller势的非线性谱生成代数 .该非线性代数能够完全确定势场的能量本征态集合和本征值谱 ,在适当的非线性算符变换下可以化为谐振子代数 ,显示了该系统具有新的对称性 相似文献
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在形变李代数理论的基础上,利用哈密顿算符和自然算符,构造出第一类P?schl-Teller势的非线性谱生成代数.该非线性代数能够完全确定势场的能量本征态集合和本征值谱,在适当的非线性算符变换下可以化为谐振子代数,显示了该系统具有新的对称性
关键词:
P?schl-Teller势
自然算符
非线性谱生成代数 相似文献
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WU Hao FAN Hong-Yi 《理论物理通讯》2008,50(12):1348-1350
Eigenvalue-solution to those Hamiltonians involving non-commutative coordinates is not easily obtained. In this paper we apply the invariant eigen-operator (IEO) method to solving the energy spectrmn of the three-mode harmonic oscillator in non-commutative space with the coordinate operators satisfying cyclic commutative relations, [X1, X2] = [X2, X3]=[X3, X1] = iθ, and this method seems effective and concise. 相似文献
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We extend the concept of invariant eigen-operator to pseudo-invariant
eigen-operator case through analyzing the standard Jaynes-Cummings model. We
find the pseudo-invariant eigen-operator in terms of supersymmetric
generators of this model, which diretly leads to the energy-level gap for
Jaynes-Cummings Hamiltonian. 相似文献
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FAN Hong-Yi TANG Xu-Bing 《理论物理通讯》2007,47(5):865-868
We employ the invariant eigen-operator (lEO) method to find the invariant eigen-operators of N-body singular oscillators' Hamiltonians and then derive their energy gaps. The Hamiltonians of parametric amplifiers with singular potential are also discussed in this way. 相似文献
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FAN Hong-Yi TANG Xu-Bing HU Hai-Peng 《理论物理通讯》2008,50(9):674-676
By virtue of the invariant eigen-operator method we search for the invariant eigen-operators for some Hamiltonians describing nonlinear processes in particle physics. In this way the energy-gap of the Hamiltonians can be naturally obtained. The characteristic polynomial theory has been fully employed in our derivation. 相似文献
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Normal coordinate in harmonic crystal obtained virtue of the classical correspondence of the invariant eigen-operator 下载免费PDF全文
Noticing that the equation with double-Poisson bracket, where On is normal coordinate, Hc is classical Hamiltonian, is the classical correspondence of the invariant eigen-operator equation (2004 Phys. Left. A. 321 75), we can find normal coordinates in harmonic crystal by virtue of the invaxiant eigen-operator method. 相似文献
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By virtue of the invariant eigen-operator method we search for the invariant
eigen-operators for some Hamiltonians describing nonlinear processes in
particle physics. In this way the energy-gap of the Hamiltonians can be
naturally obtained. The characteristic polynomial theory has been fully
employed in our derivation. 相似文献
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FAN Hong-Yi WU Hao 《理论物理通讯》2008,49(3):759-762
We show that the recently proposed invariant eigen-operator (IEO) method can be successfully applied to solving energy levels for SSH Hamiltonian describing Peierls phase transition. The electronic energy band of compound lattice is also studied by IEO method. 相似文献