CAJ | 학술논문

利用Jordan-Wigner变换和不变本征算符法计算低温下自旋为1/2的一维X-Y模型亚铁磁棱型链系统的元激发谱和对应的本征态.得到3支没有简并的元激发谱,其对应的本征态函数之间又相互正交归一.利用不变本征算符法对系统的Hamiltonian进行了退耦,其退耦合过程比常规的幺正变换法便捷,而且直接在系统的能量自表象上自动退耦,因此,这对计算系统的配分函数而言非常便捷.并讨论了不变本征算符法的优缺点.
이용Jordan-Wigner변환화불변본정산부법계산저온하자선위1/2적일유X-Y모형아철자릉형련계통적원격발보화대응적본정태.득도3지몰유간병적원격발보,기대응적본정태함수지간우상호정교귀일.이용불변본정산부법대계통적Hamiltonian진행료퇴우,기퇴우합과정비상규적요정변환법편첩,이차직접재계통적능량자표상상자동퇴우,인차,저대계산계통적배분함수이언비상편첩.병토론료불변본정산부법적우결점.
The elementary excitations spectrums and its corresponding eigenstates in the system of a spin-l/2 one-dimensional X-Y model ferrimagnetic diamond-like chain at low temperature were calculated by Jordan-Wigner transform and invariant eigen-operator method. Three non-degenerate elementary excita- tions spectrum were obtained, and its corresponding eigenstate functions were orthonormalized. The Hamil- tonian of the system was decoupled with invariant eigen-operator method, and the decoupling process was more convenient than conventional unitary transformation method. And it was automatically decoupled di- rectly from self-representation of the system, thus it was very convenient to calculate partition function of the system. The advantages or deficiencies of invariant eigen-operator method were discussed in this paper.