非平凡谐振子问题的正则变换方法 |
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引用本文: | 马涛. 非平凡谐振子问题的正则变换方法[J]. 阜阳师范学院学报(自然科学版), 1988, 0(1) |
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作者姓名: | 马涛 |
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作者单位: | 阜阳师院物理系 |
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摘 要: | 本文由占有数表象中的正则变换方法确定了一个束缚于各向异性谐振子势阱中并在均匀磁场■=B■中运动的电子能谱和本征态。由阶梯算符得到了[■,■]表象中的本征态的递推关系。
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THE METHOD OF CANONICAL TRANSFORMATION OF A NON-TRIVIAL OSCILLATOR PROBLEM |
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Abstract: | The energy spectrum and eigenstates of an eleetron con f-ined to an anisotropic oscillator potential and moving in homogeneous magnetic field ■=■ arc determined by using the method of canonical transformation in the occupation numher reperesentation in this paper.The recursion relations of eigenstate in {■,■} reperesentation are get by ladder operators. |
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