Question

i need help solving these commutators in position representation!! help with clear working out please

Position repenentation. f(x) [x, px] = x'Pr - Pxxl - x-liha + i hd x da de f(x) [x², P₃

Answer 1

A Solution Commutator [Â Ê ] , if Å and Ê care operators. Then its commutator. CA Ô = Â Â - Ê Â [t's Pn ] here by us au momentum oferator Por = - iha XL | [xc", Ry] fcx) = nite, fene) – Pue x'pon) z-v'it a few) -f-in2 cm pows] =fait 2.fem) - Fri for} 2. ("). Selen, ein, tudu du +(-il hvily fou) 7 gud .-lhu d 2. o x os كله u =-262) om ru 1.- iki yake fi fosna 2-1 k me habere (4,07) = **) =- bi's Kle) - i form forus ti ko [x", Pu] fcm) = --fen) Heue Gea] --24 Auver [x", Pula] fem) = foe) = Pxe oxifen) =(-1*2.) f(n) -4 -14 2. (13. fcm)] =-*** ford + 4 (4 for 2 x + ik als altres ] M un an Ти

uhh scient pe + Li tof(x),1x + 4 ikiye Belementy = itu fou) Heuce [22, Pre kent i huffin) So [[na, Pre] = itse