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采用不变本征算符法求出均匀外场中带电谐振子的能级间隔,利用"积分变换法"求出均匀外场中带电谐振子的基态能量和相应波函数,通过分析推求出均匀外场中带电谐振子的量子化能谱.

参考文献

[1] Fan H Y,Li C.Invariant eigen-operator of the square of Schr(o)dinger operator for deriving energy-level gap[J].Phys.Lett.A,2004,321:75-78.
[2] Fan H Y.From Quantum Mechanics to Quantum Optics (从量子力学到量子光学)[M].Shanghai:Shanghai Jiaotong University Press,2005:342-365 (in Chinese).
[3] Zeng J Y.Quantum Mechanics (Volume Ⅱ)(量子力学(下册))[M].Beijing:Science Press,1982:303 (in Chinese).
[4] Qian B C,Zeng J Y.A Guide to Analysis of Quantum Mechanics Exercise (量子力学习题精选与剖析).[M].Beijing:Science Press,1995:84-87 (in Chinese).
[5] Zhu D P,Shi M J,Chen Y H.A method for finding the eigenvalue of quantum ground state[J].Acta Physica Sinica (物理学报),1992,41(4):535 (in Chinese).
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