Non-Hermitian Interactions Between Harmonic Oscillators, with Applications to Stable, Lorentz-Violating QED
| dc.creator | Altschul, B. | |
| dc.date | 2004-02-04 | |
| dc.date | 2005-08-10 | |
| dc.date.accessioned | 2026-07-07T06:25:37Z | |
| dc.date.available | 2026-07-07T06:25:37Z | |
| dc.description | We examine a new application of the Holstein-Primakoff realization of the simple harmonic oscillator Hamiltonian. This involves the use of infinite-dimensional representations of the Lie algebra $su(2)$. The representations contain nonstandard raising and lowering operators, which are nonlinearly related to the standard $a^†$ and $a$. The new operators also give rise to a natural family of two-oscillator couplings. These nonlinear couplings are not generally self-adjoint, but their low-energy limits are self-adjoint, exactly solvable, and stable. We discuss the structure of a theory involving these couplings. Such a theory might have as its ultra-low-energy limit a Lorentz-violating Abelian gauge theory, and we discuss the extremely strong astrophysical constraints on such a model. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/0402036 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0402036 | |
| dc.identifier | J.Math.Phys. 47 (2006) 012101 | |
| dc.identifier | doi:10.1063/1.2159070 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/96877 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Non-Hermitian Interactions Between Harmonic Oscillators, with Applications to Stable, Lorentz-Violating QED | |
| dc.type | text |