A particle’s wave function at time t = 0 is given
by:
0 "(x,0)="(x)=
0
Find the answers to the questions below at time t =
0. i.e. using " (x) for all
calculations.
Show that the wave function " (x) is
normalized 1
Find the approximate values of x in the
region ! 3 & x & 1 for
which the probability of finding the particle will be
zero? 1
Find the approximate values of x in the
region ! 3 & x & 1 for
which the probability of finding the particle will be
largest? 1
Find the probability that the particle will be found in the
region 0 & x & 2 .
for !%<x<!1 1 3
for ! 3 & x & 1
3
2 cos
2 x (3! )
for
1<x<% Hereisaplotofthewavefunctionfor !1 &x&1:
3
" (x)
x
6
3
3
6
6
Find the expectation value of x
Show that the expectation value of p'2x is:
A Particle S Wave Function At Time T 0 Is Given By 0 X 0 X 0 Find The Answers To The Questions Below At Time T 1 (59.82 KiB) Viewed 57 times
4) A particle's wave function at time i = 0 is given by: for Px,0) = y(x) = --- 3x cos for susi 0 for I <x<00 Here is a plot of the wave function for *sx51: 1.50 (x) 133 1.00 0. 0.25 སྔགས་པས་ x as TO 6.50 -0.75 1.00 -1.25 -1.50 3 Find the answers to the questions below at time i = 0. i.e. using v(x) for all calculations, a. Show that the wave function y(x) is normalized b. Find the approximate values of x in the region SX S1 for which the probability of finding the partide will be zero? c. Find the approximate values of r in the region sxs 1 for which the probability of finding the particle will be largest? d. Find the probability that the particle will be found in the region 05:55 Find the expectation value of x Show that the expectation value of pi; is: (?) = zn*r? e.
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