Hermitian structures defined by linear electromagnetic constitutive laws

Details Hermitian structures defined by linear electromagnetic constitutive laws Hermitian structures defined by linear electromagnetic constitutive laws

2007-10-26

arxiv.org/abs/0710.5156v1

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, no figures

Scientific paper

It is demonstrated that when the bundle of 2-forms on a four-dimensional manifold M admits an almost-complex structure any choice of "real + imaginary" subspace decomposition of the bundle defines a conjugation map, as well as a Hermitian structure for the bundle. When the almost-complex structure comes from a linear electromagnetic constitutive law, the real and imaginary parts of the Hermitian structure are then shown to represent the Hamiltonian for an anisotropic three-dimensional electromagnetic oscillator at each point of M and a symplectic structure for each fiber. The complex form of the oscillator equations is also definable in terms of the geometric structures that were introduced.

Affiliated with

Also associated with

No associations

Rating

Hermitian structures defined by linear electromagnetic constitutive laws does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Hermitian structures defined by linear electromagnetic constitutive laws, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hermitian structures defined by linear electromagnetic constitutive laws will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-192104