- Font Paragraph Styles Question 1 1 1 Use The Wave Function Below X T Ael Et Px Where A Is A Constant To Derive The 1 (194.75 KiB) Viewed 19 times
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1.5.2
Font Paragraph Styles Question 1 1.1 Use the wave function below: (x, t) = Ael-Et-px where A is a constant to derive the momentum, total energy and kinetic energy operators. (5) 1.2 Show that the momentum operator px == -ih. ə əx is Hermitian. (10) 1.3 Using the fundamental commutator [x,p] = iħ, show that [⹂¸] = ihnâ¹] 1.4 Which of the following are eigenfunctions of the momentum operator? 1.4.1 (x, t) = Acos (kx - wt) 1.4.2 (x, t) = Acos(kx - wt) + iAsin(kx - wt) 1.5 Given the operator,  = x- d dx +a, where a is a constant, 1.5.1 Compute the Hermitian conjugate of the operator Â. 1.5.2 Calculate [Â, px] Question 2 (6) (2) (2) (6) (5) [29] Editing