Avoided crossings are common in the quasienergy spectra of strongly driven nonlinear quantum wells. In this paper we examine the sinusoidally driven particle in a square potential well to show that avoided crossings can alter the structure of Floquet states in this system. Two types of avoided crossings are identi ed: one type leads only to temporary changes (as a function of driving eld streng...

We develop a series solution for the bound-state energy levels of the quantum-mechanical one-dimensional finite square-well potential. We show that this general solution is useful for local approximations of the energy spectrum ~which target a particular energy range of the potential well for high accuracy!, for global approximations of the energy spectrum ~which provide analytic expressions of...

The control is the potential well absolute position. For two kinds of potential shape (periodic and box), we propose approximated solutions to the stead-state motion planing problem: steering in finite time the particle from an initial well position to a final well position, the initial and final particle energies being identical. This problem is a quantum analogue of the water tank problem, wh...

It is desirable to generate a digital signature using biometrics but not practicable because of its inaccurate measuring and potential hill-climbing attacks, without using specific hardware devices that hold signature keys or biometric templates securely. We study a simple practical method for biometrics based digital signature generation without such restriction, by exploiting the existing too...

~ We propose a method to generate steps at the surface of GaAs single crystals. This method is based on plasticity properties of GaAs. In the simple slip condition, the (541

We consider a specific continuous-spin Gibbs distribution μt=0 for a double-well potential that allows for ferromagnetic ordering. We study the time-evolution of this initial measure under independent diffusions. For ‘high temperature’ initial measures we prove that the time-evoved measure μt is Gibbsian for all t. For ‘low temperature’ initial measures we prove that μt stays Gibbsian for small...

We construct supergravity solutions dual to microstates of the D1-D3-D5 system with nonzero B field moduli. Just like the D1-D5 solutions in hep-th/0109154 these solutions are generically nonsingular everywhere, with the ‘throat’ closing smoothly near r=0. We write expressions relating the asymptotic supergravity fields to the integral brane charges. We study the infall of a D1 brane down the t...

The capture of weakly interacting massive particles (WIMPS) by the Earth is calculated taking account of corrections due to the Earth's motion deep within the potential well of the sun. Two distinct types of capture are evaluated. First, direct capture of WIMPS out of the Galactic halo. Second, indirect capture of WIMPS which had previously interacted with the Earth and had lost enough energy t...

We study Hořava–Lifshitz gravity in the presence of a scalar field. When the detailed balance condition is implemented, a new term in the gravitational sector is added in order to maintain ultraviolet stability. The four-dimensional theory is of scalar-tensor type with a positive cosmological constant and gravity is non-minimally coupled with the scalar and its gradient terms. The scalar field ...