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seen Mar 24 '13 at 4:55

Jan
18
comment What's the role of classically forbidden paths in path integral?
It doesn't have to be the "smallest value of S", classical paths must only be extrema of the action functional
Jun
11
accepted Connection between Poisson Brackets and Symplectic Form
Jun
11
comment Connection between Poisson Brackets and Symplectic Form
Thanks for the clarification. It still doesn't make any sense to me why they chose such confusing way to present this, but at least I understand what happened now. I do have to say though that in my version of the book (also from 1998) the matrix you have in eq. 5.43 is for $ \Omega ^{-1}$ not $\Omega$, and as a result your matrix after "we conclude..." should be $ \Omega $. It doesn't change anything else you pointed out, but could create confusion for someone else.
Jun
11
awarded  Yearling
Jun
8
awarded  Constituent
Jun
8
awarded  Caucus
Apr
5
awarded  Critic
Mar
10
awarded  Quorum
Mar
10
awarded  Commentator
Mar
10
comment Connection between Poisson Brackets and Symplectic Form
I do not see how you answered the confusion exposed on my post. I know the matrices representing the PB and the symplectic form are inverse to one another, the problem lies on their representation, i.e., in the (q,p) representation w^{ij} have to be the matrix elements of the symplectic matrix so we get the right expression for the PB (if the order of the \xi are q1,q2,p1,p2, for example). Whereas, if I use w_(ij) as the matrix elements of the inverse of omega to obtain the symplectic form I get (again in the q,p rep), w = - dq ^ dp instead of w = dq ^ dp.
Mar
10
revised Connection between Poisson Brackets and Symplectic Form
added 2 characters in body
Mar
9
asked Connection between Poisson Brackets and Symplectic Form
Nov
26
accepted Number of conditions for a two-particle state to be decomposable
Nov
26
comment Number of conditions for a two-particle state to be decomposable
$x$ is supposed to represent a three dimensional vector. Sorry if that was unclear, maybe I should have written it in bold.
Nov
26
asked Number of conditions for a two-particle state to be decomposable
Apr
13
comment Phase shifts in scattering theory
"For a typical potential" is a very vague statement. It would be better perhaps to say "in the limit of low energy scattering".
Mar
4
awarded  Scholar
Mar
4
accepted What is the mechanism of dielectric saturation?
Mar
4
revised What is the angular momentum spectrum of an sp${}^3$ electron?
Reply to comment by Ted Bunn (too long for the comments section)
Mar
3
answered What is the angular momentum spectrum of an sp${}^3$ electron?