We prove a concentration result of a Bloch eigenstate in a periodic channel under a constant gauge. In the semi-classical limit h → 0 these eigenstates concentrate near a maximizer of the scalar potential of the associated Schrödinger operator, provided the constant gauge converges to a critical value from above. This is in contrast with the ground states which concentrate for any gauge in this...

this paper considers the problem of stable limit cycles generating in a class of uncertain nonlinear systems which leads to stable oscillations in the system’s output.this is a wanted behavior in many practical engineering problems. for this purpose, first the equation of the desirable limit cycle is achieved according to shape, amplitude and frequency of the required output oscillations. then,...

Physical systems with a large scattering length have universal properties independent of the details of the interaction at short distances. Such systems can be realized in experiments with cold atoms close to a Feshbach resonance. They also occur in many other areas of physics such as nuclear and particle physics. The universal properties include a geometric spectrum of three-body bound states ...

The multiconfiguration Dirac-Fock method allows to calculate the state of relativistic electrons in atoms or molecules. This method has been known for a long time to provide certain wrong predictions in the nonrelativistic limit. We study in full mathematical details the nonlinear model obtained in the nonrelativistic limit for Be-like atoms. We show that the method with sp + pd configurations ...

Earlier results [1,2]2 on safe loads for a Prandtl-Reuss material subject to surface tractions or displacements which increase in ratio are here extended to any perfectly plastic material and any history of loading.

We study the difference between quantum and classical behavior in a pair of nonidentical cavities with second-harmonic generation. In the classical limit, each cavity has a limit-cycle solution, in which the photon number oscillates periodically in time. Coupling between the cavities leads to synchronization of the oscillations and classical correlations between the cavities. In the quantum lim...

The focus of this research is the stress laminated timber cellular deck. The testing program has involved application of loads that modelled both the design serviceability and design ultimate conditions, and identified slip and load redistribution mechanisms, which occur at the limit state of linear composite behaviour. This paper presents a summary of the results of this testing and discusses ...

Optimum design of singly and doubly reinforced beams with uniformly distributed and concentrated load has been done by incorporating actual self weight of beam, parabolic stress block, moment-equilibrium and serviceability constraints besides other constraints. Also, this design expertise has been incorporated into a genetically optimized artificial neural network based on steepest descent, ada...

a solid state fermentation method was used to utilize wheat straw as substrates for citric acid production by using aspergillus niger atcc 9142. the plackett burman design (pbd) of experiments was used to test the relative importance of the variables affecting production such as moisture content, age of spore, inoculum size, initial ph of substrate, methanol concentration, incubation temperatur...

Substantial classes of systems (eg. ones with dead zone nonlinearities (like gears) or hysteresis) have the property that controlling them to an equilibrium point 0 is impractical, but that controlling into some modest size R region about 0 is natural (eg. arguably compressor surge and stall). That is, a realistic goal is to design a closed loop system whose trajectories oscillate around 0, but...