Polynomial Solution of Non-Central Potentials

We show that the exact energy eigenvalues and eigenfunctions of the Schrodinger equation for charged particles moving in certain class of non-central potentials can be easily calculated analytically in a simple and elegant manner by using Nikiforov and Uvarov (NU) method. We discuss the generalized Coulomb and harmonic oscillator systems. We study the Hartmann Coulomb and the ring-shaped and compound Coulomb plus Aharanov-Bohm potentials as special cases. The results are in exact agreement with other methods.Comment: 18 page

Searching for Copy Number Changes in Nonsyndromic X-Linked Intellectual Disability

Intellectual disability (ID) has a prevalence of 2–3% with 0.3% of the population being severely retarded. Etiology is heterogeneous, owing to numerous genetic and environmental factors. Underlying etiology remains undetermined in 75–80% of mildly disabled patients and 20–50% of those severely disabled. Twelve percent of all ID is thought to be X-linked (XLID). This study covers copy number analysis of some of the known XLID genes, using multiplex ligation-dependent probe amplification (MLPA) in 100 nonsyndromic patients. One of the patients was found to have duplication in all exons of MECP2 gene, and another had duplication in the fifth exon of TM4SF2/TSPAN7 gene. Affymetrix® 6.0 whole-genome SNP microarray confirmed the duplication in MECP2 and showed duplication of exons 2–7 in TM4SF2/TSPAN7, respectively. MECP2 duplication has recently been recognized as a syndromic cause of XLID in males, whereas duplications in TM4SF2/TSPAN7 are yet to be determined as a cause of XLID. Being an efficient, rapid, easy-to-perform, easy-to-interpret, and cost-effective method of copy number analysis of specific DNA sequences, MLPA presents wide clinical utility and may be included in diagnostic workup of ID, particularly when microarrays are unavailable as a first-line approach