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《Journal of Jiangxi Normal University(Natural Science Edition)》 2017-06
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The Derivation to Angular Momentum Square Operator and Laplace Operator in Spherical Polar Coordinates——A Case Application on Derivative Principle of Multiple Function in Quantum Mechanics

WEN Zubiao;XIONG Xiewei;DAI Fang;CAO Yili;LI Yonghong;ZHU Jia;ZHANG Lei;College of Chemistry and Chemical Engineer,Jiangxi Normal University;Jiangxi Province Key Laboratory of Precision Drive and Control,Nanchang Institute of Technology;  
Several universal formulas of first-order partial differential forms in rectangular coordinate system are correspondingly transformed into forms of spherical polar coordinate by using derivative principle of multiple function leading variable. Subsequently,the formulas of the angular momentum square operator and Laplace operator in spherical polar coordinate are further deduced on the basis of the obtained forms. It is to be easier for the solution of Schr9 dinger equation and the correspondent different quantum number of the different angular momentum operator in quantum mechanics.
【Fund】: 国家自然科学基金(21463013);; 江西省自然科学基金(20171BAB203013);; 江西省教育厅科学技术研究课题(GJJ160290);; 江西省高等学校教学改革研究课题资助项目
【CateGory Index】: O413.1
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