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本科生畢業(yè)論文(設(shè)計)題 目 勢阱中粒子運動狀態(tài)的研究 黃山學(xué)院本科畢業(yè)論文1目 錄中文摘要………………………………………………………………………………2外文摘要……………………………………………………………………………3引言…………………………………………………………………………………41.一維無限深勢阱…………………………………………………………………42.一維半無限深勢阱………………………………………………………………7 模型 1………………………………………………………………………7 模型 2………………………………………………………………………103.一維有限深勢阱…………………………………………………………………12 勢阱外……………………………………………………………………13 勢阱內(nèi)……………………………………………………………………13 偶宇稱態(tài)……………………………………………………………14 奇宇稱態(tài)……………………………………………………………144.總結(jié)………………………………………………………………………………15參考文獻… …………………………………………………………………………17致謝…………………………………………………………………………………18黃山學(xué)院本科畢業(yè)論文2勢阱中粒子運動狀態(tài)的研究06 物理 董賢寶 指導(dǎo)教師 馬堃(黃山學(xué)院信息工程學(xué)院,黃山,安徽 245041)摘要:本文將對粒子在一維勢阱中的行為進行系統(tǒng)的研究。具體地,將針對不同位置的一維有限深、無限深勢阱對應(yīng)薛定諤方程的解法進行探討,并對以上勢阱中的粒子運動行為進行研究,總結(jié)出不同勢阱對粒子運動行為的影響。得知一維無限深勢阱是一維半無限深勢阱的特例,而一維半無限深勢阱是一維有限深勢阱的特例。所以我們只要掌握了一維有限深勢阱的情況,那么對于一維半無限深勢阱和一維無限深勢阱的情況,就很容易了解了。關(guān)鍵詞:勢阱,波函數(shù),能量黃山學(xué)院本科畢業(yè)論文3Potential well in the state of particle motionPhysics 06 DongxianbaoDirector:Ma Kun(College of Information Engineering, Huangshan University, Anhui, China, 245041)Abstract: The behavior of the particle which in onedimensional potential well has been studied in this paper. Corresponds to the solution of the Schrodinger equation gave been given. Then the infection of potential well to the behavior of the particle been summarized at last. We know that one dimensional infinite potential well is onedimensional semiinfinite well of the special case and onedimensional semiinfinite onedimensional potential well is a special case of finite potential well. Once we have only a limited grasp of the onedimensional potential well of the situation. Then we can clearly understand onedimensional semiinfinite well and the onedimensional infinite well case(Wave function and energy level formulas).Key Words: Potential well, Wave function, Energy黃山學(xué)院本科畢業(yè)論文4引言量子力學(xué)最基本的任務(wù)就是求解薛定諤方程,而薛定諤方程的求解的難易主要取決與勢函數(shù)的形式,目前可以精確求解的薛定諤方程很少,這主要是由于具體問題中的勢函數(shù)所帶來的計算困難。目前,國內(nèi)外初等量子力學(xué)教材中[13]