Quantumized photons actually have many characteristics that are different from classical electromagnetics. For example, there is no one who is satisfied with the existence of a Phase Operator. The initial intuition is based on the following definition: а-де-іф, and suppose and ф are both Hermitian, because the two correspond to similar amplitudes, one corresponds to similar Phase. Therefore, iT we take Hermitian Conjugate a, we get at-e-ing Note that the order is exchanged, because g and ф are not necessarily able to commute to each other. Under these assumptions, please: 1/2 (A) Prove that g - (n + 1) (B) Prove that ñ-1-e-14hel (C) Through the mathematical formula: and plus part of B's proof n, <p - i In quantum physics [K,p]- ih implies AxAp 2 , so we can speculate that if [ri,oj i is true Δη Δφ-2. However, as mentioned before, the phase itself is not greater than 2π, so Δφ is not greater than 2π, and the uncertainty principle of n and ф that we introduce is not valid. In addition to this, there is a simpler proof, please (D) Through [n'ф-1 , the following formula is obtained: (m-n)<m|фіп- lomn