Mean value of momentum of electron in H atom

superyoon
Messages
1
Reaction score
0

Homework Statement


What is the mean value of the momentum of an electron of a hydrogen atom in its ground state? Derive this mean value of the momentum from the kinetic energy of the electron.


Homework Equations


<p> = integral from -infinity to infinity (p*|psi|^2) dx
p^2/2m = KE



The Attempt at a Solution


I solved the equation above for p; p = sqrt(2m*KE). <p> = integral from -infinity to infinity [sqrt(2m*KE)*|psi|^2]dx, but I don't know where to go from here.

Thanks.
 
Physics news on Phys.org

Thread 'Modeling a graph that shows age in relation to depth of an ice sample'

To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
View full post »

Similar threads

Expectation value <p> of the ground state of hydrogen
Replies
4
Views
5K
What happens to an atom's angular momentum when it absorbs an electron?
Replies
1
Views
2K
Quantum Virial Theorem Derivation
Replies
10
Views
2K
Time evolution of a particle in momentum space
Replies
1
Views
2K
Time Independence of the Momentum Uncertainty for a Free Particle Wave
Replies
3
Views
2K
Difference between average position of electron and average separation
Replies
14
Views
2K
Proton in a 1D Box: Energy, Probability, Speed
Replies
24
Views
3K
Use the uncertainty principle for momentum vs. position to e
Replies
2
Views
2K
Continuity Equation for a Dimensionless Harmonic Oscillator
Replies
16
Views
2K
Expectation of Kinetic Energy for Deuteron
Replies
30
Views
3K

Hot Threads

Recent Insights

Back
Top