Write the Fock-space state in terms of creation operators acting on the vacuum state


 * 1) Set up the Fock-space state: \(|n_1, n_2, \cdots ,n_m\rangle\)
 * 2) Write the first state in terms of creation operators: \(|n_1, n_2, \cdots ,n_m\rangle = \frac{\left(\hat{a}^{\dagger}\right)^{n_1}}{\sqrt{n_1!}} |0\rangle|n_2, \cdots ,n_m\rangle\)
 * 3) Repeat for each state in the Fock-space state: \(|n_1, n_2, \cdots ,n_m\rangle = \frac{\left(\hat{a}^{\dagger}\right)^{n_1}}{\sqrt{n_1!}}\frac{\left(\hat{a}^{\dagger}\right)^{n_2}}{\sqrt{n_2!}}\cdots\frac{\left(\hat{a}^{\dagger}\right)^{n_m}}{\sqrt{n_m!}} |0\rangle\)