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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
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