Hello!
is the standard symbol for a wave function. Its square is the probability density pd(x). By the definition of probability density, the probability of being between c and d is %7D%7B%5Cleft.%7Bd%7D%7Bx%7D%5Cright.%7D. "int_c^d pd(x) dx.")
In our case for positive c and d it is
%7D. "b^2 int_c^d e^(-(2x)/L) dx = b^2*L/2*(e^(-(2c)/L) - e^(-(2d)/L)).")
a) the value of b must be such that the total probability, %7D%7B%5Cleft.%7Bd%7D%7Bx%7D%5Cright.%7D%2C "int_(-oo)^(+oo) pd(x) dx,")
= 1. In our case it is...
Hello!
is the standard symbol for a wave function. Its square is the probability density pd(x). By the definition of probability density, the probability of being between c and d is In our case for positive c and d it is
a) the value of b must be such that the total probability, = 1. In our case it is 
So yes, 
and for L=6.4 it is about %7D%7D%5E%7B%7B-%5Cfrac%7B%7B1%7D%7D%7B%7B2%7D%7D%7D%7D%5Cright)%7D. "0.559 ((nm)^(-1/2)).")
And the formula for a probability becomes
for positive c and d. If c is negative, c must be replaced with zero.
b) use this formula for c=1-0.005 and d=1+0.005.
c) use this formula for c=1.15 and d=1.84.
(there is an error at the picture, must be "for x>=0 nm", not "for x>=nm")
No comments:
Post a Comment