Quantum Physics II, Lecture Notes 6

eigenstate of Nˆ and it follows from the above relation that the respective eigenvalues E and N are related by (1) E = nω N + . (1.21) 2. From the inequality (1.13) we have already shown that for any state 1 . E ≥ . nω, N ≥ 0. (1.22) 2 There cannot exist states with negative number. This can be conﬁrmed directly. ................
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