Chapter 41.8, Problem 41.8TYU

To determine

Whether the wave function $\psi \left({\overrightarrow{r}}_1,{\overrightarrow{r}}_2\right)=\left(\frac{1}{\sqrt{2}}\right)\left[{\psi }_C\left({\overrightarrow{r}}_1\right){\psi }_E\left({\overrightarrow{r}}_2\right)+{\psi }_C\left({\overrightarrow{r}}_1\right){\psi }_F\left({\overrightarrow{r}}_2\right)\right]$ is possible for two-particle system and it represent an entangled state if particle 1 is an electron that can be in state $C$ or $D$ ,particle $2$ is a proton that can be in state $E$ or $F$.