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摘要:本文分別用定態(tài)Schrödinger方程、光學類比兩種方法求解微觀粒子在一維方勢壘中的透射幾率。將兩種求解方法進行比較，分析出光學類比求解方法展現(xiàn)粒子波函數(shù)勢壘邊界透射的真實過程，進一步分析透射波相位產生的原因。并將光學類比求解方法與因果律相結合，進一步解釋透射波相位產生的根源。兩種方法的比較、分析過程和結論，對我們理解粒子在勢壘中的貫穿行為以及在勢壘邊界的散射問題是必不可少的。 關鍵詞：微觀粒子；定態(tài)Schrödinger方程；光學類比；透射幾率；因果律
Abstract:In this paper, the transmission probability of microscopic particles in one-dimensional square potential barrier is calculated with the stationary Schrödinger equation and the optical analogy respectively. Unlike the stationary Schrödinger equation, the optical analogy shows the real process and the reason of phase delay that the particle wave transmits one-dimensional square potential barrier. With the optical analogy and causality, the phase delay of the transmission wave is further explained. The result of the paper is useful to understand the problems of the microscopic particles transmitting in the potential barrier and scattering on the boundary. Keywords: Microscopic particles; Stationary state Schrödinger; Optical analogy; Transmission probability; Causality |
