We propose a new approach to calculate perturbatively the effects of a particular deformed Heisenberg algebra on energy spectrum. We use this method to calculate the harmonic oscillator spectrum and find that corrections are in agreement with a previous calculation. Then, we apply this approach to obtain the hydrogen atom spectrum and we find that splittings of degenerate energy levels appear. ...

We study the problem of the phonon–induced electron–electron interaction in a solid. Starting with a Hamiltonian that contains an electron–phonon interaction, we perform a similarity renormalization transformation to calculate an effective Hamiltonian. Using this transformation singularities due to degeneracies are avoided explicitely. The effective interactions are calculated to second order i...

Low-energy effective field theories arising from Calabi-Yau string compactifications are generically inconsistent or ill-defined at the classical level because of conifold singularities in the moduli space. It is shown, given a plausible assumption on the degeneracies of black hole states, that for type II theories this inconsistency can be cured by nonperturbative quantum effects: the singular...

The effects of setting all T=0 two body interaction matrix elements equal to a constant (or zero) in shell model calculations (designated as < T = 0 >= 0) are investigated. Despite the apparent severity of such a procedure, one gets fairly reasonable spectra. We find that using < T = 0 >= 0 in single j shell calculations degeneracies appear e.g. the I =

Department of Physics, Tokyo Metropolitan University, Hachioji, Tokyo 192-0397, Japan (Dated: May 3, 2004) Abstract It is shown that eightfold degeneracy in neutrino oscillations is easily seen by plotting constant probabilities in the (sin 2θ13, 1/s 2 23) plane. Using this plot, we discuss how an additional long baseline measurement resolves degeneracies after the JPARC experiment measures the...

RAID is a storing technology that is very often used in nowadays systems and in general this storing volume provides more data security, availability and performance to the existing system. Being an important component of the system, the data storage volume and its performance affect directly the performance of the entire system. This is the motivation why it is convenient for us to improve as ...

We present the results of a combined analysis of cosmic microwave background (CMB) and X-ray galaxy clusters baryon fraction to deduce constraints over 6 inflationnary cosmological parameters. Such a combination is necessary for breaking degeneracies inherent to the CMB.

We show that for long-baseline experiments using a Mt water Čerenkov detector atmospheric neutrino data provide a powerful method to resolve parameter degeneracies. In particular, the combination of long-baseline and atmospheric data increases significantly the sensitivity to the neutrino mass hierarchy and the octant of θ23. Furthermore, we discuss the possibility to use μlike atmospheric neut...

We present a simple approach to combining scene and auto-calibration constraints for the calibration of cameras from single views and stereo pairs. Calibration constraints are provided by imaged scene structure, such as vanishing points of orthogonal directions, or rectified planes. In addition, constraints are available from the nature of the cameras and the motion between views. We formulate ...

In this paper we consider the following problems: (1) computing projections with distinct x-coordinates, (2) computing non-collinear projections, (3) computing non-cocircular projections, and (4) computing projections with non-parallel line segments. Here the word projection means perspective projection, a kind of projection that has received little attention in computational geometry. These pr...