4.1.2.1 So­lu­tion harmb-a

Ques­tion:

Write out the ground state en­ergy.

An­swer:

Tak­ing the generic ex­pres­sion

$$E_{n_xn_yn_z} = \frac{2n_x+2n_y+2n_z+3}2\; \hbar\omega$$

and sub­sti­tut­ing the low­est pos­si­ble value, 0, for each of $n_x$, $n_y$, and $n_z$, you get the ground state en­ergy

$$E_{000} = \frac{3}2\; \hbar\omega$$