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Feb
25
awarded  Necromancer
Jan
6
comment Examples of potentials for which Schrödinger equation lacks discrete points in continuous spectrum
Maybe this makes sense in the rigged Hilbert space approach ?
Jan
6
comment On $e^{\pi\sqrt{4\cdot163}}$ and unusual connections
for Bekenstein-Hawking entropy see en.wikipedia.org/wiki/Black_hole_thermodynamics
Nov
27
comment translation invariance of the Laughlin wave function
@Carlo Beenakker : What about Laughlins wavefunction on the sphere ? In this case Laughlins wavefunction is SU(2) invariant.
Sep
3
comment How to solve such an optimization problem
It's here (already cited in another comment): 130.44.194.100/mcom/2001-70-236/S0025-5718-00-01262-X/… . Since it contains a raw internet address it's not allowed to use this as a link in an answer.
Sep
2
revised How to solve such an optimization problem
Index Legendre polynomial K -1 instead of N - 1 .
Aug
31
answered How to solve such an optimization problem
Aug
24
comment How to solve such an optimization problem
Here a link to the paper of Fejer : math.technion.ac.il/hat/fpapers/fejerpisa.pdf
Aug
23
comment How to solve such an optimization problem
@peng : If the optimal values of $x_i$ take only K different values, then these values are the Fekete points, because then all non zero terms in the sum are maximized.
Aug
19
awarded  Yearling
Aug
1
comment Finite subgroups (lattices) in the large N limit of SU(N)
A larger finite subgroup than the Weyl-Heisenberg group is its normalizer, see e.g. arxiv.org/abs/1003.3591v2 .
Jul
2
awarded  Curious
Jun
12
comment Method to Generate Random Mutually Orthogonal Unitary Matrices
What exactly is the probability measure you want to simulate ?
Jun
11
comment Computing $\int_0^T e^{itA}Be^{-itA} dt$ without an infinite series
Why so complicated ? Simply diagonalize A, as mentioned by Christian Remling.
May
25
awarded  Editor
May
25
revised Is this functional maximized by SU(2) coherent states?
added 6 characters in body
May
25
asked Is this functional maximized by SU(2) coherent states?
May
22
comment eigenvalues of product of many symmetric positive definite matrices
if d is even then all eigenvalues might be negative : According to the theorem of Ballantine (projecteuclid.org/download/pdf_1/euclid.pjm/1102991595) we can write minus identity as a product of positive definite real matrices, since it has positive determinant.
May
22
comment eigenvalues of product of many symmetric positive definite matrices
Wurlitzer : to "negative definite" : Not true, e.g. for x = 2, there is 1 positive and 1 negative eigenvalue, so its neither positive nor negative definite.
May
20
comment Absolute value inequality for complex numbers
@Deane Yang : Doesn't work because for the 3 distinct third roots of unity also equality holds.