6 1 A Use Induction To Show That X Px Ihnx 1 Suggestion Take Advantage Of The Commutation Relation Aa C 1 (31.56 KiB) Viewed 38 times
6 1 A Use Induction To Show That X Px Ihnx 1 Suggestion Take Advantage Of The Commutation Relation Aa C 2 (56.71 KiB) Viewed 38 times
6.1. (a) Use induction to show that [x", px] = ihnx"-1. Suggestion: Take advantage of the commutation relation [ÂÂ, Ĉ] = Â[B, Ĉ] + [Â, Ĉ]B in working out the commutators.
(b) Using the expansion F(x) = F(0) + show that - (d) dx show that x=0 x + (c) For the one-dimensional Hamiltonian -2- 2m Ĥ + d(px) dt 1 2! .. d²F dx2 ƏF [F(x), px]=ih(x) əx 1 n! x=0 (1F) + V (*) dV = (-4²) dx +² x=0 +
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