Extended uncertainty principle. The generalized uncertainty principle (Equation 3.62) states that

(a) Show that it can be strengthened to read

where D̂ Ξ ÂB̂ + B̂Â -2 (A) (B).  Keep the Re(z) term in Equation 3.60.
(b) Check Equation 3.115 for the case B = A (the standard uncertainty principle is trivial, in this case, since Ĉ = 0; unfortunately, the extended uncertainty principle doesn’t help much either).

 Equation 3.60

 Equation 3.62

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