沈阳化工大学学报
瀋暘化工大學學報
침양화공대학학보
JOURNAL OF SHENYANG INSTITUTE OF CHEMICAL TECHNOLOGY
2012年
2期
174-177
,共4页
成泰民%葛崇员%祁烁
成泰民%葛崇員%祁爍
성태민%갈숭원%기삭
XYZ-Heisenberg铁磁系统%自旋波谱%宇称变换%压缩变换%幺正变换
XYZ-Heisenberg鐵磁繫統%自鏇波譜%宇稱變換%壓縮變換%幺正變換
XYZ-Heisenberg철자계통%자선파보%우칭변환%압축변환%요정변환
three-dimensional-anisotropic XYZ-Heisenberg ferromagnetic system%spin wave spec- trum%parity transformation%squeezed transformation%unitary transformation
利用D-M变换和点阵傅立叶变换、宇称变换、压缩变换等幺正变换对三维各向异性XYZ-Heisenberg铁磁系统的Hamiltonian进行对角化,得到系统的自旋波谱(磁振子谱)及基态能量.体系对角化的Hamiltonian及自旋波谱、基态能量的解析解是计算体系配分函数的重要前提,并由体系的配分函数可进一步求出与体系的热力学性质和磁学性质相关的物理量的解析解.同时对特殊情况下的结论进行讨论.
利用D-M變換和點陣傅立葉變換、宇稱變換、壓縮變換等幺正變換對三維各嚮異性XYZ-Heisenberg鐵磁繫統的Hamiltonian進行對角化,得到繫統的自鏇波譜(磁振子譜)及基態能量.體繫對角化的Hamiltonian及自鏇波譜、基態能量的解析解是計算體繫配分函數的重要前提,併由體繫的配分函數可進一步求齣與體繫的熱力學性質和磁學性質相關的物理量的解析解.同時對特殊情況下的結論進行討論.
이용D-M변환화점진부립협변환、우칭변환、압축변환등요정변환대삼유각향이성XYZ-Heisenberg철자계통적Hamiltonian진행대각화,득도계통적자선파보(자진자보)급기태능량.체계대각화적Hamiltonian급자선파보、기태능량적해석해시계산체계배분함수적중요전제,병유체계적배분함수가진일보구출여체계적열역학성질화자학성질상관적물리량적해석해.동시대특수정황하적결론진행토론.
In this paper, the Hamiltonian of three-dimensional-anisotropic XYZ-Heisenberg ferromag- netic system was diagonalized by using D-M transformation and unitary transformation such as the Fourier transformation of lattice, the parity transformation and the squeezed transformation. The spin wave spec- trum and ground state energy of the system were obtained. The diagonalized Hamiltonian of the system and the analytical solution of spin wave spectrum and ground state energy are important prerequisite to calculate partition function. Furthermore the analytical solution of physical quantities which are related to the thermodynamics properties and magnetic properties in the system were derived according to the parti- tion function of the system. Conclusion in special cases was also discussed.