(Solved):   Consider the operators, \( \hat{a}_{+}=\frac{1}{\sqrt{2}}\left(\hat{x}+i \hat{p}_{x}\right ...

 

Consider the operators, \( \hat{a}_{+}=\frac{1}{\sqrt{2}}\left(\hat{x}+i \hat{p}_{x}\right) \) and \( \hat{a}_{-}=\frac{1}{\sqrt{2}}\left(\hat{x}-i \hat{p}_{x}\right) \), where \( \hat{x} \) and \( \hat{p}_{x} \) are the position and linear momentum operators, respectively. The commutator, \( \left[\hat{a}_{+}, \hat{a}_{-}\right] \)is equal to