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对称性及其在定积分中的应用 被引量:1
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作者 张晓英 《南通纺织职业技术学院学报》 2005年第1期18-19,共2页
利用函数的图形关于点(x0,0)或直线x=x0的对称性,或构造一个函数与已知函数的图形关于点(x0,0)或直线x=x0的对称性,推导具有实用价值的积分公式.
关键词 对称性函数 定积分 变量代替
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Quantum phase transition in quarter-filled nanoclusters of manganite induced by element substitution at B site 被引量:1
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作者 WANG HaiLong WANG RongMing +1 位作者 WANG YuGang TIAN GuangShan 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2011年第7期1277-1282,共6页
In the present paper,we study the effect of element substitution for quarter-filled nanoclusters of perovskite manganite by introducing Jahn-Teller type of perturbation interaction to the double-exchange Hamiltonian.U... In the present paper,we study the effect of element substitution for quarter-filled nanoclusters of perovskite manganite by introducing Jahn-Teller type of perturbation interaction to the double-exchange Hamiltonian.Using the unrestricted real-space Hartree-Fock approximation method we find that,the Jahn-Teller electron-phonon interaction plays the central role in producing the phase transition from ferromagnetic phase to CE type antiferromagnetic phase.Not only the Jahn-Teller interaction benefits antiferromagnetic correlation,it also increases the charge density order parameter.These theoretical results provide a guidance to predict the properties and modify the composition of particles of perovskite manganite under nano-scale. 展开更多
关键词 MANGANITE charge ordered phases antiferromagnetic correlation
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