The standard quantum discrete nonlinear Schrodinger equation with periodic boundary conditions and an arbitrary number of freedoms (f) is solved exactly at the second and third quantum levels. I f f -+ x at a sufficiently small level of anharmonicity c j ) , the value for soliton binding energy from quantum field‘theory (QFT) in the continuum limit is recovered. For fixed however, the QFT resul...

A technique for color quantization is described, which consists of two processes. The ̄rst process is based on the analysis of the histograms of the three color components of the RGB input image. The second process performs clustering of the colors quantized by the ̄rst process, based on their Euclidean distance. At the end of the second process, the output image is obtained by replacing the colo...

All the geometric phases, adiabatic and non-adiabatic, are formulated in a unified manner in the second quantized path integral formulation. The exact hidden local symmetry inherent in the Schrödinger equation defines the holonomy. All the geometric phases are shown to be topologically trivial. The geometric phases are briefly compared to the chiral anomaly which is naturally formulated in the ...

A new method of detection and measurement of quantum vorticity by scattering second sound off quantized vortices in superfluid Helium is suggested. Theoretical calculations of the relative amplitude of the scattered second sound waves from a single quantum vortex, a vortex ring, and bulk vorticity are presented. The relevant estimates show that an experimental verification of the method is feas...

We analyze some consequences of two possible interpretations of the action of the ladder operators emerging from generalized Heisenberg algebras in the framework of the second quantized formalism. Within the first interpretation we construct a quantum field theory that creates at any space-time point particles described by a qdeformed Heisenberg algebra and we compute the propagator and a speci...

A novel approach to the analysis of the gravitational well problem from a second quantised description has been discussed. The second quantised formalism enables us to study the effect of time space noncommutativity in the gravitational well scenario which is hitherto unavailable in the literature. The corresponding first quantized theory reveals a leading order perturbation term of noncommutat...

Certain pivotal results from various applications of Abstract Differential Geometry (ADG) to gravity and gauge theories are presently collected and used to argue that we already possess a geometrically (pre)quantized, second quantized and manifestly background spacetime manifold independent vacuum Einstein gravitational field dynamics. The arguments carry also mutatis mutandis to the case of fr...

Using the result that an electric charge-magnetic charge system carries an internal field angular momentum of eg/4π we arrive at two restrictions on magnetic monopoles via the requirement of angular momentum quantization and/or conservation. First we show that magnetic charge should scale in the opposite way from electric charge. Second we show that free, unconfined monopoles seem to be inconsi...

We describe schemes for transferring quantum states between light fields and the motion of a trapped atom. Coupling between the motion and the light is achieved via Raman transitions driven by a laser field and the quantized field of a high-finesse microscopic cavity mode. By cascading two such systems and tailoring laser field pulses, we show that it is possible to transfer an arbitrary motion...

This report analyses global parametric convergence properties of a recursive algorithm for identification of linear finite impulse response (FIR) dynamics with quantized output measurements. The problem is addressed by analytic calculation of the right hand side of the associated ODE for a second order model. The ODE is then analysed numerically to investigate the possibilities for proving para...