We present solutions of the Schrodinger equation with superposition Manning-Rosen plus inversely Mobius square quadratic Yukawa potentials using parametric Nikiforov Uvarov method along an approximation to centrifugal term. The bound state energy eigenvalues for any angular momentum quantum number l and corresponding un-normalized wave functions are calculated. mixed potential which in some par...

Given an (irreducible) Mobius covariant net $\mathcal A$, we prove a Bisognano-Wichmann theorem for its categorical extension $\mathscr E^{\textrm{d}}$ associated to the braided $C^*$-tensor category $\textrm{Rep}^{\textrm{d}}(\mathcal A)$ of dualizable (more precisely "dualized") A$-modules. As closely related result, (modified) any (possibly) non-local A$ obtained by $C^*$-Frobenius algebra $...

BACKGROUND Moebius syndrome is a rare disorder with minimum clinical criteria of congenital facial weakness in association with impairment in abduction of one or both eyes. Mirror movements are not known to be associated with Moebius syndrome. CASE REPORT We present three patients who meet minimum criteria for a diagnosis of Moebius syndrome and who also display mirror movements. DISCUSSION...

Given a group G acting on a set S, Mobius inversion over the lattice of subgroups can be used to obtain congruences relating the number of elements of S stabilized by each subgroup. By taking S to be a set of subsets, partitions, or permutations congruences for binomial and multinomial coefficients. Stirling numbers of both kinds, and various other combinatorial sequences are derived. Congruenc...

As is well-known, there exist nonconstant holomorphic maps from the plane into the Riemann sphere P minus two points, the simplest example of which is an explicit realization of the uniformization map given by applying the exponential map and then composing with a Mobius transformation taking 0 and∞ to the two given punctures. Likewise, we can map the plane into the sphere minus one point by si...