111 reputation
6
bio website home.gwu.edu/~mparis
location Santa Fe, NM
age 45
visits member for 2 years, 8 months
seen Sep 10 at 5:00

Nuclear physics, theory


Jun
10
awarded  Scholar
Jun
10
accepted Surface area of sphere in N dimensions; and a failed extension to ellipsoids
Jun
5
awarded  Editor
Jun
5
revised Surface area of sphere in N dimensions; and a failed extension to ellipsoids
corrected sign
Jun
5
comment Surface area of sphere in N dimensions; and a failed extension to ellipsoids
Incidentally, this explains why the method described in the OP works for the sphere. $|\nabla f|=1$ there.
Jun
5
answered Surface area of sphere in N dimensions; and a failed extension to ellipsoids
Jun
4
comment Surface area of sphere in N dimensions; and a failed extension to ellipsoids
Good comment. Unfortunately, I don't understand it! Can you elaborate? I have been trying to show that "$E_N$ is the integral of $1/(\partial_n f)$ over the ellipsoid but have so far failed. If you post it as a correct answer I will certainly accept it.
Jun
4
asked Surface area of sphere in N dimensions; and a failed extension to ellipsoids
Feb
24
asked Cauchy representation and branch point order
Feb
18
awarded  Promoter
Feb
12
awarded  Supporter
Feb
12
asked Branch-point order and Cauchy representation
Jan
14
answered Derivation of the Angular Component of Spherical Harmonics
Jan
16
comment Solving to get free falling coordinate as function of arbitrary coordinate
I'm having trouble with the language here. Paraphrasing: "The solution to this differential equation is ...", then: "How can it be solved?" Do you mean to ask: "How does one show that this solution (2nd equation) satisfies the equation above (1st equation)?"?
May
14
comment Special case of Meijer G function
J.M.: see comment below ying's answer.
May
14
comment Special case of Meijer G function
Thanks for this answer. In fact, I arrived at the Meijer G function via exactly just this integral expression. The answer to J.M.'s question follows from just this observation. The integral arises in the determination of the Maxwellian averaged cross section times the velocity for a cross section assumed to be of 'Gamow form.' In fact, I think this is irreducible.
Apr
26
awarded  Student
Apr
26
comment Special case of Meijer G function
Help appreciated -- anybody?
Apr
24
awarded  Autobiographer
Apr
24
asked Special case of Meijer G function