這篇文章致力於研究非拋物型有效質量近似二維連續薛丁格方程特徵值問題。我們主要結果是著重在關注被鎖在量子井中能量態的個數。至於，文章的編排方式，我一開始先來介紹關於這個欲處理問題的來源和出產。接著，引進Bessel氏方程式和修正型Bessel氏方程式，同時也羅列出和上述兩方程式相關且對研究有幫助的性質。接下來的工作，我建構出一個特徵方程式，此特徵方程式的根正好是我所處理的問題的特徵值，故特稱為特徵方程式。這個特徵方程式是整篇文章的一個重要關鍵式子。因為我們能藉由它完成一些主要的結果。最後，我分別利用兩節的篇幅來討論特徵方程式的重要性質並大略的勾勒出其圖形，並於文章末節給出了我所完成的一些重要結果。

This paper is devoted to investigate the two-dimensional continuous Schr dinger equation with non-parabolic effective mass approximation.
Our results primarily concern the number of energy states lying in the confinement potential well.
The article is organized as follows. First, we introduce the derivation of the model problem, the Bessel’s equation and the modified Bessel’s equation. At the same time, we also list some useful properties of the Bessel functions and the modified Bessel functions. Next, we construct a characteristic equation whose roots are eigenvalues of the model problem. It is a key equation. We have to use it to finish some main results. Finally, we discuss some properties of the characteristic equation, roughly sketch the graph of the characteristic equation and state the main results that we have finished.

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