Hermitian structures defined by linear electromagnetic constitutive laws
| dc.creator | Delphenich, David | |
| dc.date | 2007-10-26 | |
| dc.date.accessioned | 2026-07-07T08:38:53Z | |
| dc.date.available | 2026-07-07T08:38:53Z | |
| dc.description | 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. | |
| dc.description | 25 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/0710.5156 | |
| dc.identifier | http://arxiv.org/abs/0710.5156 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/140892 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Hermitian structures defined by linear electromagnetic constitutive laws | |
| dc.type | text |