Hi!
I need your help for solving a couple of differential equation:
dX/dt = a - b*X
dY/dt = b*(c*exp(-E) - Y) - d*exp(-E)*Y
X = X0 + f(Y, E)
with X0, a, b, c and d are constants and f, a function of Z and E.
Thank you in advance
Hi!
I would like solve this kind of relation:
\phi = \int_0^r \phi (r') 4 \pi r'dr'
But I don't know how to proceed...
Can you advise me ?
Thank's in advance !
Hi!
I wonder, in the case of elastic reactions with nuclear potential, how go from an angular distribution to an energy distribution?
I have relationships on differential angular cross sections for neutron and proton elastic nuclear reations and I would like to transform them into differential...
Hello,
My question is about the calculation of phase shifts δl in scattering theory.
Some article mention that we can obtain phase shifts by numerically solving the radial Schrodinger equation but I'm not sure how to do it.
Do you know how to proceed? is there any code (python, c ++, ...)...
Hi!
I wonder since some time why ionization energies are not equal to binding energies.
For instance, take the case of aluminum in the following configuration [Ne]3s²3p
Ionization energy ~ 6 eV
Binding energy ~ 5 eV
Where does this difference come from ?
Thanks in advance
Homework Statement
I need to integrate this expression :
P(k, w) = A * δ(w-k*v) * f(k, w)
A is constant and δ, Dirac Delta.Homework Equations
[/B]
There is double integration :
I = ∫0∞ dk ∫0∞ P(k,w) dw
= A ∫∫0∞ δ(w-k*v) * f(k, w) dw dk
The Attempt at a Solution
[/B]
I'm confused with...
Thanks for your reply mjc123 !
I had applied your recommendation and I find the result in (1.3) :wink:
If I used the substitution u = cosθ, I must then integrate between 1 and -1 (cos(0) = 1 and cos(pi) = -1).
I put du = -sinθdθ, so :
exp(-i pr cos(θ) ) sin(θ) dθ = -exp(-i pr u) du = -...
Hi!
1. Homework Statement
From the website http://www1.uprh.edu/rbaretti/MomentumspaceIntegration8feb2010.htm
we can see the Fourier transform of the ground state hydrogenic wave function :
Φ(p) = ∫ ∫ ∫ exp(-i p r) (Z3/π )1/2 exp(-Zr) sin(θ) dθ dφ r² dr (1.1)
After intregation...