Question

farmonic Uscillator problem set 311 019 4= has sin (nak) ) Using the commutator method, calculate AxAp for the one dimensional particle in a box wavefunction. AX APS p=i方lax司二文かる一 127.25

Answer 1

[kPa]. x Ph- pair » [18] ** () - (- н.)* [К]ү 1 (c) ay, t 2 , te) Ф + 2h [ ата aq + I using property I uv=uatu au атаа - 2 айд so, [x P2] = in

Data used, T =0 Dr Ape = Jyt (m pê] 4 dx, sino - 1-10520, For a 1D box, W-Vae sin next (as length of the 10 box) so, sare sin ng a) in) (Ja sin na a) die - S lá, en sing die sa Ilosaren me 15 am - 5 cos zou dre] 1052nr

SIC eta [caso eta sin cens a 3.o] contiene [Ca-0) - test (sin ana-sino] ] kita [an empat (0-0)] zh а So, su da se