- #1
White_M
- 9
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Homework Statement
Given the following hypothetic wave function for a particle confined in a region -4≤X≤6:
ψ(x)= A(4+x) for -4≤x≤1
A(6-x) for 1≤x≤6
0 otherwise
Using the normalized wave function, calculate the expectation value of the kinetic energy.
Homework Equations
I used ∫ψ*ψdx=1 to normaize the function and got that |A|^2=3/250.
The Attempt at a Solution
I know that T=[itex]\frac{\hat{P^2}}{2m}[/itex]=[itex]\frac{-h^2}{2m}[/itex][itex]\frac{d^2}{dx^2}[/itex]
I tried to calculate it using <T>=∫ψ*Tψ using the expression above and got zero which is not correct.
The solution given by the book is <T>=-[itex]\frac{h^2}{2m}[/itex][itex]\frac{3}{250}[/itex](0*1-5*2+0*1)=[itex]\frac{3h^2}{50m}[/itex]
p.s
h in the formulas above is [itex]\frac{h}{2pi}[/itex]
What am I doing wrong?
Thanks. Y.