The Fisher-Shannon information and a statistical measure of complexity are calculated in the position and momentum spaces for the wave functions of the quantum isotropic harmonic oscillator. We show that these magnitudes are independent of the strength of the harmonic potential. Moreover, for each level of energy, it is found that these two indicators take their minimum values on the orbitals t...

We investigate the eigenvalue spectra of hydrogen Rydberg atoms in strong magnetic fields for manifestations of quantum stochasticity and find (j) a smooth transition from a Poisson.type to a Wignertype distribution of level spacings in the range of energy where classical motion becomes increasingly chaotic, (ij) the occurrence of mulliple avoided crossings, and (jji) connected with this. an ex...

Optical absorption and fluorescence emission spectral studies of acridine in different solvents namely, carbon tetrachloride, dichloromethane, propan-2-ol, ethanol, methanol, acetonitrile, and N,Ndimenthyl formamide have been investigated. Oscillator strength and transition dipole moment of the acridine have been elucidated from the optical absorption measurement. The ratio of the excited state...

We report on the observation of the yellow exciton Lyman series up to the fourth term in Cu2O by time-resolved mid-infrared spectroscopy. The dependence of the oscillator strength on the principal quantum number n can be well reproduced using the hydrogenic model including an AC dielectric constant, and precise information on the electronic structure of the 1s exciton state can be obtained. A B...

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We have observed for the first time reflection spectra of an electric quadrupole transition for the cesium atom (6 (2)S(1/2)-5 (2)D(5/2)) line at an angle of incidence from theta(c)-11.9 to theta(c)+107.5 mrad, where theta(c) is the critical angle for total reflection. From a comparison with the calculated absorption in the attenuated total reflection, the oscillator strengths for s and p polar...

Duffing harmonic oscillator is a common model for nonlinear phenomena in science and engineering. This paper presents He´s Energy Balance Method (EBM) for solving nonlinear differential equations. Two strong nonlinear cases have been studied analytically. Analytical results of the EBM are compared with the solutions obtained by using He´s Frequency Amplitude Formulation (FAF) and numerical solu...

Strictly, the KAM torus no longer exists for a randomly driven Hamiltonian system. We firstly investigate the process of torus breakdown in the randomly driven Morse oscillator by transforming the original system into another one in action-angle variables and introducing the specific Poincaré map by Makarov et al. Though the strength of random perturbations is large, some thick closedlike curve...

A method of predicting visual attention shift is proposed based on image segmentation using neurodynamic system in this paper. The input image is mapped to a neural oscillator network. Each oscillator corresponding to a pixel is modeled by means of simplified Wilson-Cowan equations, and is coupled with its 8nearest neighbors. Then the image is segmented by classifying the oscillation curves of ...

We present a systematic study of optical transitions in a modulation doped Cd12xMnxTe quantum well with variable concentration of the hole gas. Using a semimagnetic semiconductor as the quantum well material allowed us to control independently the total hole concentration and its distribution between the two spin subbands ~by a small magnetic field!. Therefore, in transmission experiment we ana...