| 量子力学中位置-动量不确定度关系取等号的条件及其物理意义 |
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| 引用本文： | 王党朝.量子力学中位置-动量不确定度关系取等号的条件及其物理意义[J].咸阳师范学院学报,2014(2):19-21. |
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| 作者姓名： | 王党朝 |
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| 作者单位： | 咸阳师范学院物理与电子工程学院,陕西咸阳712000 |
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| 基金项目： | 咸阳师范学院科研基金项目（13XSYK010）和教改基金项目（201302026）. |
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| 摘 要： | 不确定度关系是量子力学中重要的法则之一，应用它可以解释诸多量子效应。在广义不确定度关系基础上，推导出不确定度关系取等号的一般条件。在坐标表象下，计算出位置一动量不确定度关系取等号的条件，即等式在高斯型波函数下成立。
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| 关 键 词： | 不确定度关系 基态 波函数 |
Physical Meaning and the Condition for the Equality Sign of the Position -Momentum Uncertainty Relation in Quantum Mechanics |
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| WANG Dang-chao.Physical Meaning and the Condition for the Equality Sign of the Position -Momentum Uncertainty Relation in Quantum Mechanics[J].Journal of Xianyang Normal University,2014(2):19-21. |
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| Authors: | WANG Dang-chao |
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| Institution: | WANG Dang-chao (School of Physics and Electronic Engineering, Xianyang Normal University, Xianyang 712000, Shaanxi, China) |
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| Abstract: | the uncertainty relation is one of the important principles in quantum mechanics, which can be used to explain many quantum effects. This paper first gets the general equal condition for the General Uncertainty Relation, then calculates the equal condition for position-momentum uncertainty relation in the coordinate representation, i.e. for the kind of Gaussian wave functions to hold the equali- ty. We hol~e our work will be useful for the study of coherence states in quantum mechanics. |
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| Keywords: | the uncertainty relation the ground state wave function |
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