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I am a theoretical physicist working in the area of quantum field theory, mostly QCD and gauge theories. I am also interested in mathematical problems related to the solution of PDEs.


Aug
3
answered Solution to a second order semilinear elliptic PDE
Jul
30
comment Solution to a second order semilinear elliptic PDE
Are you sure about the last term in your equation? Shouldn't it be $u(u_r)^2$ rather than $u^2(u_r)$?
Jul
29
comment Laplace transform of a product of Modified Bessel Functions
@J.M.: Thanks for your comment. I did it taking into account that I worked this out with Mathematica and held the further definition taken Wikipedia.
Jul
29
revised Laplace transform of a product of Modified Bessel Functions
Edited the definition of the elliptic integral
Jul
28
comment Wiener process question
This is not so. "cumsum" is always needed as you are describing a trajectory that, while has not derivative, is anyway continuous. The other way is just to write dW2(j)=dW2(j)+W2(j-1) and plotting dW2 but is not so efficient. You can find some code at marcofrasca.wordpress.com/2012/02/02/… and comments there.
Jul
28
comment Wiener process question
You have to sum all the increments. This is the reason why the first code works ("cumsum") and the the second one does not.
Jul
27
comment Laplace transform of a product of Modified Bessel Functions
I think Sasha's answer fits the bill.
Jul
27
answered Laplace transform of a product of Modified Bessel Functions
Jul
27
comment Show $1 + 2 \sum_{n=1}^N \cos n x = \frac{ \sin (N + 1/2) x }{\sin \frac{x}{2}}$ for $x \neq 0$
This can be reduced to a geometric series just noting that $\cos nx =\frac{e^{inx}+e^{-inx}}{2}$.
Jul
27
revised Integral equation with a constraint
Minor correction
Jul
26
revised Integral equation with a constraint
Added an existence condition
Jul
26
answered Integral equation with a constraint
Jul
25
comment Is there a known closed form number for $\prod\limits_{k=2}^{ \infty } \sqrt[k^2]{k}$
Try using Euler-Maclaurin formula en.wikipedia.org/wiki/Euler%E2%80%93Maclaurin_formula.
Jul
23
accepted Moving to a conformal metric
Jul
22
comment Moving to a conformal metric
Yes, the content of this answer is not worth downvote being very near to my aims and of course, flagging it as spam is blatantly wrong. I understand that Chandra was a physicist and the cited book is about physics, but this guy should be treated somewhat better.
Jul
20
comment Moving to a conformal metric
Thanks Leonid. I will check the approach devised in Wikipedia. The reference you gave seems really interesting.
Jul
19
comment Moving to a conformal metric
@WillieWong: My problem is that I have the metric given and I would like to turn it into a conformal shape in order to apply a theorem on Cramer-Rao optimal estimators. So, if I would have a quite general result, I should be able to accomplish the task.
Jul
19
comment Moving to a conformal metric
@WillieWong: I am aware of this. But can they always be given explicitly in this case?
Jul
19
asked Moving to a conformal metric
Jul
11
revised The puzzling eigenvalues of a differential equation system
Minor correction