$V(x)=\lambda x^4$
ধরো ট্রায়াল ওয়েভ ফাংশন-
\begin{equation}
\phi(x,\alpha)=e^{-\alpha x^2/2}\label{eq:1}
\end{equation}
ধরো $\alpha$ এর Gaussian energy function হলো-
\begin{align}
E_\phi &=& \dfrac{\bra{\phi}\hat{H}\ket{\phi}}{\bra{\phi}{\phi}\rangle} \\
&=& \dfrac{\bra{\phi}\hat{T}\ket{\phi} + \bra{\phi}\hat{V}\ket{\phi}}{\bra{\phi}{\phi}\rangle}\label{eq:2}
\end{align}
\begin{align}
E_\phi &=& \dfrac{\bra{\phi}\hat{H}\ket{\phi}}{\bra{\phi}{\phi}\rangle} \\
&=& \dfrac{\bra{\phi}\hat{T}\ket{\phi} + \bra{\phi}\hat{V}\ket{\phi}}{\bra{\phi}{\phi}\rangle}\label{eq:3}
\end{align}
পদার্থবিজ্ঞানের পাঠশালা