• Support PF! Buy your school textbooks, materials and every day products Here!

Normalization Constant

  • Thread starter psingh
  • Start date
18
0
1. Homework Statement

Consider the electron wave function where x is in nm:

psi(x)=cx |x|<= 1nm & c/s |x| => 1 nm

Determine the normalization constant c

2. Homework Equations

integral(|psi(x)|^2) dx=1 between infinity and negative infinity


3. The Attempt at a Solution

this may be very far from the real solution but this is what ive tried

integral{ (cx)^2 dx + (c/x)^2 dx}

1= integral { (c^2x^2) + (c^2/x^2) }

c^2 integral{ x^2 + x^-2 }

(x^3/3 - 1/x)*c^2=1

integral{ x^3/3 - 1/x }

im not quite sure where to go from here
 

Answers and Replies

Dick
Science Advisor
Homework Helper
26,258
618
You need to split the integral into two parts, one for |x| in 0-1 nm, the other from |x| in 1 nm to infinity. Then add them.
 

Related Threads for: Normalization Constant

  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
1
Views
3K
  • Last Post
Replies
1
Views
934
  • Last Post
Replies
5
Views
6K
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
1
Views
2K
Replies
43
Views
3K
Replies
1
Views
802
Top