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

Chemical composition and antibacterial activity of the essential oil of Laurus nobilis leaves

Chemical composition determination and in vitro antibacterial effect of Essential Oil (EO) of Laurus nobilis leaves grown North West Algerian conditions were investigated. Antibacterial activity was evaluated by the technique of the paper disc diffusion. Extractions were carried out with Clevenger apparatus and EO compositions were investigated by gas chromatography coupled to mass spectrometry (GC-MS) analysis. The oxygenated monoterpenes (MO) were the class with the highest contents, represent 59% of the EO. A total of twenty-seven of these compounds were identified, the major components were 1,8-cineole (30.1%), α-terpynil acetate (21.6%), methyl eugenol (16.9%) of the total oil. The highest antibacterial power of the EO tested was recorded in Streptococcus faecalis and Staphylococcus aureus with the zone diameter of inhibition 13.6 and 11.2 mm respectively and a minimal inhibitory concentration (MIC) of 0.25 mg/mL for both these two strains