聚($p$ -亚苯基亚乙烯基)及其它共轭体系电子态的自由电子近似
Free electron approximation for electron states of poly($p$-phenylene vinylene) and other conjugated systems
摘要:
本文发展了聚($p$ -亚苯基亚乙烯基)及其它共轭体系电子态的自由电子近似。给出了电子态能量和波函数的简单明了的解析表达式。计算结果与实验结果在定量上一致。我们的模型不包含拟合参数。我们给出了两个发展的理论应用的例子:电子在磁场中能量的精确计算和电子在共聚物中的散射。
英文摘要:
Free electron approximation for electron states in poly($p$-phenylene vinylene) and other conjugated systems is developed. It provides simple and clear analytical expressions for energies of electron states and for wave functions. The results are in quantitative agreement with experiments. Our model does not contain fitting parameters. We present two examples of the developed theory applications: exact calculation of electron energy in magnetic field, and scattering of electrons in copolymer.
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