SU(3) Richardson–Gaudin models: three-level systems

SU(3) Richardson-Gaudin models: three-level systems.

We present the exact solution of the Richardson-Gaudin models associated with the SU(3) Lie algebra. The derivation is based on a Gaudin algebra valid for any simple Lie algebra in the rational, trigonometric and hyperbolic cases. For the rational case additional cubic integrals of motion are obtained, whose number is added to that of the quadratic ones to match, as required from the integrabil...

Comparing Three Regression Models for Reconstructing Groundwater Level Data (A Case Study)

The base for hydrology studies is accurate data. However, the gaps and shortage of sufficient data exist n the most hydrology data such as  underground water data as the most important and cheapest water source,  lack of  data  take places due to various reasons such as Inability to measure and faille to register statistics. Missing data or incorrect statistics, Therefore, estimating the missin...

Giant pulse lasing in three-level systems

We propose an alternative method to Q switching for generating giant pulses of laser light in three-level media. This mehod is based on the presence of an external coherent field driving one transition to allow the accumulation of a large population inversion in the other transition without laser oscillation even in a cavity with high-Q factor. The switching off of the external coherent field c...

Superradiant phase transitions with three-level systems

Space Vector Control Scheme of Three Level ZSI Applied to Wind Energy Systems

In this paper the Space Vector Control Scheme is implemented for a Wind Energy System using Three Level Impedance Source Inverter (ZSI). The wind energy system uses a Self Excited Induction generator (SEIG) which is the most emerging application in the field of Wind Energy Conversion System (WECS). The proposed system is modelled with a generator-side Diode Bridge Rectifier and a Stand-Alone si...