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By means of the linear quantum transformation theory, we consisely derive the exact solution including energy spectrum and wave function for multi-mode coupled non-identical harmonic oscillators.  相似文献   
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提出了一种构造并精确求解新型势函数的方法.采用这种方法.讨论了一维二次型函数的通解,将这种二次型函数分段连接构造出一种新型一维双势阱模型和新型一维周期势模型,在此基础上得出了这两种新型势模型的精确解.  相似文献   
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NEW EXACTLY SOLVABLE SUPERSYMMETRIC PERIODIC POTENTIALS   总被引:3,自引:0,他引:3       下载免费PDF全文
刘克家  何力  周国利  伍玉娇 《中国物理》2001,10(12):1110-1112
Using the formalism of supersymmetric quantum mechanics, we give an exact solution for a family of one-dimensional periodic potentials, which are the supersymmetric partners of the potential proportional to the trigonometric function cos(2x) such that the Schr?dinger equation for this potential is named the Mathieu equation mathematically. We show that the new potentials are distinctly different from their original ones. However, both have the same energy band structure. All the potentials obtained in this paper are free of singularities.  相似文献   
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考虑到不同深度的晶面对X射线吸收的差别,导出了X射线衍射线形状的曲线,获得了精确的衍射曲线形状的表达式,讨论了吸收对衍射峰形状的影响.最后还对理论与实验结果进行了比较.  相似文献   
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通过改性的不同形状(针状MgSO4晶须、片状云母粉、球形状SiO2)无机粉体材料,以5%含量加入到聚丙烯中,在二次开模条件下制备微发泡PP复合材料;测定PP/无机粉体材料复合体系接触角,联合粘接理论计算液-固界面的黏附功;以异相成核理论和填充增强机理为基础,分析了不同形状的无机粉体材料对微发泡PP材料力学行为的影响规律...  相似文献   
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A GENERATION OF EXACTLY SOLVABLE ANHARMONIC SYMMETRIC OSCILLATORS   总被引:3,自引:0,他引:3       下载免费PDF全文
刘克家 《中国物理》2001,10(4):277-281
Using the ideas of supersymmetric quantum mechanics, we exactly solve a continuous family of anharmonic potentials, which are the supersymmetric partners of the linear harmonic oscillators. The family includes a series of potentials in which the excited-state energy is the same as that of the harmonic oscillators, but the ground-state energy can be any value lower than the excited states. The shape of the potential is variable, which includes the double-well and triple-well potentials. All the potentials obtained in this paper are free of singularities, and the supersymmetry of the solutions is unbroken.  相似文献   
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