Question

Q.14 A particle is in the state represented by a Gaussian wave function v(x) - Ae***/. Due to some interaction, the wave function changes suddenly. Let Ax and Ap represent the uncertainties in position and momentum as defined in the lecture. During the interaction, (a) Ax cannot decrease (b) Ap cannot decrease (c) (Ax) (Ap) cannot decrease (d) (Ax) (Ap) cannot increase.

These three are part of a single question plz do all... plz do fast i have only 1 hour ... if you don't know plz skip immediately

Answer 1

Dive) = A e Xyam ( x H (2)|dx -2xYardx AX- = 0 v -2xyar dx - 20 lan . Lx~) = As x é <p> = 1 4 (x) [_ing (11] dhe Ain 5 x eladx <p") = &*(x) [- + de tran] dx A (12) AP = Sapm)-487 = DX AQ = A a I so ax as com not decrease Scanned with CamScanner and Axa ara So 4x can not increase TE

Y(x) = Ae (2x20 - x^) (an = A exo lau (x-4) = A x é 2(xx) dx X-40 y = ANS (Y + xo) é a dy Lar> = Arxé 2(x 20 x = A'r go (1 +26) e ne 2 Lav dy EAN 48 + xo a l77 a = 1 (5) - gen <P>= 0 = mga ece of int(e-*)) AP = If a a Scanned with A (-2) 4 in crone a ap decrease CamScanner

Axap = 10-36 a ty = 0.5 x 10-34 - 10-36 < 0.5X10-34 measurements .. at least one can not of the be done. @ option. Scanned with CamScanner