- #1
Bacle
- 662
- 1
Hi All: in the page:
http://mathworld.wolfram.com/SymplecticForm.html,
Complex Hilbert space, with "the inner-product" I<x,y> , where <.,.> is the inner-product
Does this refer to taking the imaginary part of the standard inner-product ? If so, is
I<x,y> symplectic in Complex Hilbert Space? It is obviously bilinear, but I don't see
how it is antisymmetric , i.e., I don't see that I<x,y>=-I<y,x>
Am I missing something?
Thanks.
http://mathworld.wolfram.com/SymplecticForm.html,
Complex Hilbert space, with "the inner-product" I<x,y> , where <.,.> is the inner-product
Does this refer to taking the imaginary part of the standard inner-product ? If so, is
I<x,y> symplectic in Complex Hilbert Space? It is obviously bilinear, but I don't see
how it is antisymmetric , i.e., I don't see that I<x,y>=-I<y,x>
Am I missing something?
Thanks.