A particle is moving under the following 1-D potential \(V(x)= \begin{cases}\frac{1}{2} m \omega^2 x^2 & \text { for } x>0 \\ \infty & \text { for } x<0\end{cases}\)

At time t = 0, the wavefunction of the particle is given by \(\psi=\psi_0(x)+\psi_1(x) \text {, }\) where \(\psi_0(x) \text { and } \psi_1(x)\) are, respectively, the ground and the first excited states of the particle in the given potential. The energy of the particle is