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visits member for 2 years, 6 months
seen Jul 16 at 16:42

I am a physics undergrad with interests in theoretical physics and mathematics.


Jun
13
comment Compact Lie algebras and Lie groups
From wikipedia (en.wikipedia.org/wiki/Compact_Lie_algebra) it seems I was wrong, but wikipedia defines the killing form to be negative definite.
Jun
13
comment Compact Lie algebras and Lie groups
I am not sure compact lie algebras and lie groups should be related, because locally compact and non-compact manifolds look the same.
Jun
12
comment An identity relating sum of number of partitions to sum of number of parts
@Vladimir: sorry p and q are also co-prime.
Jun
12
comment An identity relating sum of number of partitions to sum of number of parts
@Vladimir: $p,q$ are integers greater than 0 such that their product is less than equal to $N$. Thanks for asking. Question edited.
Jun
5
comment Spherical harmonics give all the irreducible representations of $SO(3)$?
@MattE: Can this be shown by some physical arguments?
Apr
19
comment Show that any finite extension of $\mathbb{Q}$ is not algebraically closed.
I am sorry. I read the text wrong, after further thought my question is entirely different. Please have a look at the now edited correct question.
Apr
19
comment Show that any finite extension of $\mathbb{Q}$ is not algebraically closed.
@MarkBennet: Oops, I am sorry. I read it wrong, after further thought my question is entirely different. Please have a look at the now edited correct question.
Mar
17
comment Order of Galois group divides the degree of the extension
Isn't the order of the Galois group also equal to the degree of extension?
Feb
22
comment Proof that Legendre Polynomials are Complete
@Anonymous: Isn't the other answer complete and correct?
Feb
10
comment Has Prof. Otelbaev shown existence of strong solutions for Navier-Stokes equations?
@StephenMontgomery-Smith: What is the current status/conclusion? Has the proof been fixed? Has it shown to be completely wrong?
Jan
26
comment Example of infinite field of characteristic $p\neq 0$
@ZevChonoles: I wonder if there are more examples, this is the only example that I know of.
Jul
30
comment Advanced undergraduate(?) Real Analysis book which is concise and lots of interesting problems
@Potato: Ohh. I didn't have a good look at Rudin, but I assumed it overlaps too much with the last Real Analysis text I read, Bartle and Sherbert. I will have a look.
Jun
3
comment Uniqueness of the vector in $\mathbb{R}^n$ specified by the curl, divergence and the normal component
@Murphid: Please could you help me prove the uniqueness of the vector field?
Jun
2
comment Riemann, Ricci curvature tensor and Ricci scalar of the n dimensional sphere
@celtschk: Its linear in the second order derivative of the metric. The expression for the 2 sphere I got is, (I am 100% sure this is correct) for the Ricci tensor is $R_{ij}=\frac{1}{R^2}g_{ij}$. So, I should be getting a same expression in the n dimensional case, with a different constant. For the 2 sphere. $R_{ijk}=\frac{1}{R^2}(\delta^i_j g_{jm}-\delta^i_m g_{jk})$
May
28
comment $\sum_{m=-l, …,l; l=0,1,2,..} e^{\frac{-i E_l (t_f-t_i)}{\hbar}} Y_{lm}(\phi_f,\theta_f)Y_{lm}(\phi_i, \theta_i)$
I want to compute the $l$ sum, the $m$ sum has been done using the addition theorem for spherical harmonics.
May
28
comment $\sum_{m=-l, …,l; l=0,1,2,..} e^{\frac{-i E_l (t_f-t_i)}{\hbar}} Y_{lm}(\phi_f,\theta_f)Y_{lm}(\phi_i, \theta_i)$
@RonGordon: No. It is actually the angle between the two position vectors: i.e. if $(\theta_f, \phi_f)$ and $(\theta_i, \phi_i)$ correspond to $\hat{n_f}$ and $\hat{n_i}$, then $\cos{\theta}=\hat{n_f} \cdot \hat{n_i}$
May
27
comment Diagonalizing/eigenvalues of a particular infinite dimensional matrix
Ok. How was this related to the work done on Toeplitz matrices?
May
25
comment Diagonalizing/eigenvalues of a particular infinite dimensional matrix
@Raskolnikov: If it is not too much trouble, please could you outline the method/properties of the characteristics. I am unable to find a suitable reference on the internet
May
6
comment Prove there is no element of order 6 in a simple group of order 168
Why does $n_2=21$, mean there is no element of order 6?
Apr
30
comment Problem evaluating an improper integral $\int_0^{\infty} \frac{(\sin{2x}-2x\cos{2x})^2}{x^6}$ using fourier transform
Thanks! I missed a term in the second integral. I am really clumsy in my calculations. Sorry for the trouble.