In the HD molecule of hydrogen, one nucleus is \({ }^{1} \mathrm{H}\left(\operatorname{spin} \frac{1}{2}ight)\) and the other is a deuteron \({ }^{2} \mathrm{H}\) (spin 1). The two electrons are paired and assumed to be in a state \(j=0\). Referring to Table F. 2 in Appendix F, express the overall spin wave function \(W_{-1 / 2}^{\left(\frac{1}{2}ight)}\) in terms of the \({ }^{1} \mathrm{H}\) spin wave functions \(v^{\left(\frac{1}{2}ight)}\) and the \({ }^{2} \mathrm{H}\) spin functions \(u^{(1)}\).