6 research outputs found
Nonperturbative Analysis of the Harmonic Oscillator with a Time-Dependent Frequency
We apply the Floquet theorem and the resonating averages method to solve the Schrödinger equation of the harmonic oscillator whose frequency varies periodically with time. We determine its Floquet states and its corresponding wave functions. The formalism provides an efficiency tool for analyzing the various transition probabilities as well as the uncertainty relation of the system. The effect of a periodic external force on the Floquet states and the two-photon algebra realization are shortly discussed.We apply the Floquet theorem and the resonating averages method to solve the Schrödinger equation of the harmonic oscillator whose frequency varies periodically with time. We determine its Floquet states and its corresponding wave functions. The formalism provides an efficiency tool for analyzing the various transition probabilities as well as the uncertainty relation of the system. The effect of a periodic external force on the Floquet states and the two-photon algebra realization are shortly discussed
Supersymmetric hybrid inflation in the braneworld scenario
In this paper we reconsider the supersymmetric hybrid inflation in the
context of the braneworld scenario . The observational bounds are satisfied
with an inflationary energy scale , without any
fine-tuning of the coupling parameter, provided that the five-dimensional
Planck scale is . We have also
obtained an upper bound on the the brane tension .Comment: 8 pages (Latex