等效電路法與k-矩陣法在量子力學之探討

Quantum-Mechanic Simulation using Equivalent-Circuit Method and k-matrix Method

彭俊傑(Jyun-Jie Pon)

指導教授 ： 蔡曜聰

國立中央大學/資訊電機學院/電機工程學系/碩士(2006年)

摘要

我們在論文裡將使用兩種方法來模擬量子力學的系統。第一種方法被稱做k矩陣法，另一個方法則是等效電路法。我們使用這兩種方式來分析周期性的KP-model與非週期性的量子力學系統，由這兩種方式所得到的結果就是薛丁格波動方程式的波函數。另外，我們比較k矩陣法與等效電路法並且得到相同的結果，而我們也會說明這兩種方法的優點與缺點。

關鍵字

薛丁格波動方程式 ； 量子力學

並列摘要

In the thesis, we will use two methods to simulate the quantum mechanical systems. The first way is called the k-matrix method, and the other way is the equivalent-circuit method. We use these two methods to analyze periodic KP-model and non-periodic QM systems. The result obtained by these ways is the wave function of the Schrödinger wave equation. Additionally, we will compare the k-matrix method with the equivalent-circuit method and show these results of the k-matrix method are same as the equivalent-circuit method. We will also show the advantages and disadvantages of these two methods.

並列關鍵字

Schrödinger wave equation ； KP-model ； quantum mechanical

參考文獻

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[8] N. Zettili, Quantum mechanics : concepts and applications, New York : Wiley, 2001.

Reference