创新量纲分析重导玻尔模型能级公式
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摘要
本研究仅从波长实验数据入手,完全独立于玻尔模型,单靠量纲分析就能推导出其能级公式,展现迥异于玻尔模型的物理图像。本文会将现行量纲分析辅以一套自创手法、两个补充概念、三项物理特性,并针对氢原子物理系统,从不连续光谱波长开始,先以创新法找出氢原子光谱线的规律,接着采用Π定理算出氢原子玻尔半径,然后用瑞利法定出氢原子基态能量,最后重新导出玻尔模型能级公式。一路用不同的量纲分析手法连贯下来,此套方案与概念可用到其他类似的原子物理体系中。
The author develops a new approach to dimensional analysis,therefore we perform the formula for the Bohr model's energy levels by means of the dimensional analysis under the integration of new and amended approach.
The author develops a new approach to dimensional analysis,therefore we perform the formula for the Bohr model's energy levels by means of the dimensional analysis under the integration of new and amended approach.
引文
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[2]赵振兴,何建京.水力学[M].北京:清华大学出版社,2005:439-440.
[3]赵凯华.定性与半定量物理学[M].北京:高等教育出版社,1991.
[4]邓崇林.以简明物理法重新发现巴耳末公式[J].物理与工程,2019,29(1):44-52.TENG C L.A Concise approach in physics reforms Balmers formula[J].Physics and Engineering,2019,29(1):44-52.(in Chinese)
[5]宋云鹏,张春,杨宁选.浅议组合常数在原子物理计算中的应用[J].物理通报,2018(5):8-11.SONG Y P,ZHANG C,YANG N X.A brief discussion on the applicationon combination constant in atomic physics calculation[J].Physics Bulletin,2018,5:8-11.(in Chinese)
[6]FEYNMAN R,LEIGHTON R,SANDS M.The Feynman Lecture on Physics[M].Vol.Ⅲ,Addison-Wesley Publishing Company,1963:2-6.
[7]王明美.量纲分析及其在原子物理中的应用[J].合肥师范学院学报,2008,26(3):38-42.WANG M M.Dimensional analysis and its application in atomic physics[J].Journal of Hefei Teachers College,2008,26(3):38-42.(in Chinese)
[8]FEYNMAN R.Nobel Lecture:The development of the spacetime view of quantum electrodynamics[R].1965:9-10.