2016-10-09から1日間の記事一覧
// <Time-independent Hamiltonian> Schrödinger's Wave Equation is described as follows. \begin{eqnarray}i\hbar\frac{\partial}{\partial t}\Psi &=&\hat{H}\Psi\end{eqnarray} ] ] ] ] ] ] ] Schrödinger's Wave Equation is described as follows w…
// <Linear Differential Equation part 2> Linear differential equation can be solved as below.(線形微分方程式は下記のように解くことができる。) \begin{eqnarray}\prod_{i=0}^k\left(\frac{d}{dx}-\lambda_i\right)y&=&0\notag \\ \left(\frac{d}{d…
// <Linear Differential Equation> Linear differential equation can be solved as follows.(線形微分方程式は次のようにして解くことができる。) \begin{eqnarray}\left(\frac{d}{dx}-\lambda\right)^{k}y&=&0\notag\\\left(\frac{d}{dx}-\lambda\right…
// <Linear Differential Operator> A linear combination of differential operators is described as below. \begin{eqnarray}\sum_{i=0}^na_i\left(\frac{d}{dx}\right)^i\end{eqnarray} Then, the next formula is true. \begin{eqnarray}\sum_{i=0}^n…